<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">1<span class="fs1 ws1 v1">a</span><span class="ws4 v0"> Série EM</span></div><div class="t m0 x2 h3 y2 ff1 fs2 fc0 sc0 ls0 ws4">volume 2</div><div class="t m0 x3 h4 y3 ff2 fs3 fc0 sc0 ls0 ws2">Física</div><div class="t m0 x4 h5 y4 ff3 fs4 fc0 sc0 ls0 ws4">Livr<span class="_0 blank"></span>o do</div><div class="t m0 x4 h6 y5 ff4 fs5 fc0 sc0 ls0 ws3">Pr<span class="_0 blank"></span>ofessor</div><div class="t m0 x5 h7 y6 ff5 fs6 fc1 sc0 ls0 ws4">Prezado(a) professor(a),</div><div class="t m0 x6 h7 y7 ff5 fs6 fc1 sc0 ls0 ws4">Neste material, você encontrará o livro do volume que será trabalhado </div><div class="t m0 x5 h7 y8 ff5 fs6 fc1 sc0 ls0 ws4">(da disciplina e série que leciona), o guia do professor contendo sugestões </div><div class="t m0 x5 h7 y9 ff5 fs6 fc1 sc0 ls0 ws4">de abordagem e prioridades para cada módulo, entre outras informações </div><div class="t m0 x5 h7 ya ff5 fs6 fc1 sc0 ls0 ws4">relevantes, e o gabarito comentado dos exercícios.</div><div class="t m0 x6 h7 yb ff5 fs6 fc1 sc0 ls0 ws4">Em nosso portal está disponível a versão digital deste material. Solicite à </div><div class="t m0 x5 h7 yc ff5 fs6 fc1 sc0 ls0 ws4">escola o seu cadastro para acessar a área restrita do portal.</div><div class="t m0 x6 h7 yd ff5 fs6 fc1 sc0 ls0 ws4">Agora, nosso contato pode ser ainda mais rápido. Você pode acessar </div><div class="t m0 x5 h7 ye ff5 fs6 fc1 sc0 ls0 ws4">o ícone \u201cReportar Problemas\u201d em nosso <span class="ff6">app</span> para enviar sugestões ou </div><div class="t m0 x5 h7 yf ff5 fs6 fc1 sc0 ls0 ws4">críticas. Essas comunicações serão redirecionadas para os coordenadores </div><div class="t m0 x5 h7 y10 ff5 fs6 fc1 sc0 ls0 ws4">pedagógicos da Plataforma Eleva.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y11 w1 h8" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg2.png"></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg3.png"><div class="t m0 x7 ha y12 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 6</div><div class="t m0 x8 hb y13 ff8 fs3 fc2 sc0 ls0 ws4">1. Assunto</div><div class="t m0 x8 hc y14 ff9 fs8 fc0 sc0 ls0 ws4">Mo<span class="_1 blank"></span>vimento r<span class="_1 blank"></span>etilíneo uniforme: exercícios.</div><div class="t m0 x7 ha y15 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 7</div><div class="t m0 x8 hb y16 ff8 fs3 fc2 sc0 ls0 ws4">1. Assunto</div><div class="t m0 x8 hc y17 ff9 fs8 fc0 sc0 ls0 ws4">O movimen<span class="_1 blank"></span>to com aceleração<span class="_0 blank"></span>.</div><div class="t m0 x8 hb y18 ff8 fs3 fc2 sc0 ls0 ws4">2. Objetivo</div><div class="t m0 x8 hc y19 ff9 fs8 fc0 sc0 ls1 ws8">O aluno deve com<span class="_1 blank"></span>preender q<span class="_1 blank"></span>ue o movimen<span class="_1 blank"></span>to acelerado ocorre </div><div class="t m0 x8 hc y1a ff9 fs8 fc0 sc0 ls0 ws4">quando há m<span class="_1 blank"></span>udança de velocidade e suas equações.</div><div class="t m0 x8 hb y1b ff8 fs3 fc2 sc0 ls0 ws4">3. Sugestões de abor<span class="_1 blank"></span>dagem</div><div class="t m0 x8 hd y1c ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span><span class="ls2 ws9">De\ue01fnir aceleração média, relacionando co<span class="_1 blank"></span>m exemp<span class="_1 blank"></span>los do </span></div><div class="t m0 x9 hd y1d ffa fs8 fc0 sc0 ls0 ws4">cotidiano<span class="_1 blank"></span>, como acelera<span class="_1 blank"></span>r e desacelerar um carro;</div><div class="t m0 x8 hd y1e ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>diferencia<span class="_1 blank"></span>r moviment<span class="_1 blank"></span>o acelerado e moviment<span class="_1 blank"></span>o retardado;</div><div class="t m0 x8 hd y1f ffa fs8 fc0 sc0 ls6 wsa">\u2022 <span class="_2 blank"> </span><span class="ls3 ws8">definir o movimento unif<span class="_1 blank"></span>ormemente va<span class="_1 blank"></span>riado e deduzir a </span></div><div class="t m0 x9 hd y20 ffa fs8 fc0 sc0 ls6 wsb">equação horária da velocidade, mostra<span class="_1 blank"></span>ndo a sua importância </div><div class="t m0 x9 hd y21 ffa fs8 fc0 sc0 ls6 ws4">por meio de um exem<span class="_1 blank"></span>plo;</div><div class="t m0 x8 hd y22 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>deduzir a equação horária dos espaços;</div><div class="t m0 x8 hd y23 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>mostrar a equação de T<span class="_3 blank"></span>orricelli e seu uso;</div><div class="t m0 x8 hd y24 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span><span class="wsc">mostrar o teor<span class="_1 blank"></span>ema da velocidade média e context<span class="_1 blank"></span>ualizar com </span></div><div class="t m0 x9 hd y25 ffa fs8 fc0 sc0 ls0 ws4">a sua importância hist<span class="_1 blank"></span>órica.</div><div class="t m0 x8 hb y26 ff8 fs3 fc2 sc0 ls0 ws4">4. Prioridades</div><div class="t m0 x8 hd y27 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>De\ue01fnir aceleração;</div><div class="t m0 x8 hd y28 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span><span class="ls4 ws9">ap<span class="_1 blank"></span>resentar<span class="_0 blank"></span>, sem deduzir<span class="_0 blank"></span>, a equação horária dos espaços, da </span></div><div class="t m0 x9 hd y29 ffa fs8 fc0 sc0 ls0 ws4">velocidade e a equação de T<span class="_3 blank"></span>orricelli;</div><div class="t m0 x8 hd y2a ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>ap<span class="_1 blank"></span>resentar o teor<span class="_1 blank"></span>ema da velocidade média.</div><div class="t m0 x7 ha y2b ff7 fs7 fc0 sc0 ls0 ws4">Módulo 8</div><div class="t m0 x8 hb y2c ff8 fs3 fc2 sc0 ls0 ws4">1. Assunto</div><div class="t m0 x8 hc y2d ff9 fs8 fc0 sc0 ls0 ws4">Grá\ue01fcos no mo<span class="_1 blank"></span>vimento r<span class="_1 blank"></span>etilíneo uniformemen<span class="_1 blank"></span>te variado.</div><div class="t m0 xa hb y2e ff8 fs3 fc2 sc0 ls0 ws4">2. Objetivo</div><div class="t m0 xa hc y2f ff9 fs8 fc0 sc0 ls0 wsd">O aluno deve com<span class="_1 blank"></span>preender os grá<span class="_1 blank"></span>\ue01fcos no movimen<span class="_1 blank"></span>to uniforme-</div><div class="t m0 xa hc y30 ff9 fs8 fc0 sc0 ls0 ws4">ment<span class="_1 blank"></span>e variado.</div><div class="t m0 xa hb y31 ff8 fs3 fc2 sc0 ls0 ws4">3. Sugestões de abor<span class="_1 blank"></span>dagem</div><div class="t m0 xa hd y32 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span><span class="wse">A<span class="_1 blank"></span>presen<span class="_1 blank"></span>tart genericament<span class="_1 blank"></span>e as funções quadráticas mostran<span class="_1 blank"></span>do </span></div><div class="t m0 xb hd y33 ffa fs8 fc0 sc0 ls0 ws4">as suas pr<span class="_1 blank"></span>opriedades;</div><div class="t m0 xa hd y34 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>ap<span class="_1 blank"></span>resentar os grá\ue01fcos<span class="ffb"> s </span>×<span class="ffb"> t </span>do MUV<span class="_3 blank"></span>;</div><div class="t m0 xa hd y35 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>ap<span class="_1 blank"></span>resentar os grá\ue01fcos <span class="ffb">v</span> ×<span class="ffb"> t </span>do MUV<span class="_3 blank"></span>;</div><div class="t m0 xa hd y36 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>ap<span class="_1 blank"></span>resentar os grá\ue01fcos <span class="ffb">a</span> ×<span class="ffb"> t </span>do MUV<span class="_3 blank"></span>;</div><div class="t m0 xa hd y37 ffa fs8 fc0 sc0 ls6 wsa">\u2022 <span class="_2 blank"> </span><span class="wsf">ressaltar que, n<span class="_1 blank"></span>o Ensino Médio<span class="_1 blank"></span>, aborda<span class="_1 blank"></span>m-se apenas problemas </span></div><div class="t m0 xb hd y38 ffa fs8 fc0 sc0 ls5 ws8">que en<span class="_1 blank"></span>volvem aceleração con<span class="_1 blank"></span>stante, por<span class="_1 blank"></span>ém, no cotidiano<span class="_1 blank"></span>, </div><div class="t m0 xb hd y39 ffa fs8 fc0 sc0 ls6 ws10">existem in<span class="_1 blank"></span>úmeras situações em que ocorrem mo<span class="_1 blank"></span>vimentos co<span class="_1 blank"></span>m </div><div class="t m0 xb hd y3a ffa fs8 fc0 sc0 ls6 ws4">aceleração variada.</div><div class="t m0 xa hb y3b ff8 fs3 fc2 sc0 ls0 ws4">4. Prioridades</div><div class="t m0 xa hd y3c ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>A<span class="_1 blank"></span>presen<span class="_1 blank"></span>tar os grá\ue01fcos<span class="ffb"> s </span>×<span class="ffb"> t </span>do MUV<span class="_0 blank"></span>;</div><div class="t m0 xa hd y3d ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>ap<span class="_1 blank"></span>resentar os grá\ue01fcos <span class="ffb">v</span> ×<span class="ffb"> t </span>do MUV<span class="_3 blank"></span>;</div><div class="t m0 xa hd y3e ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span>ap<span class="_1 blank"></span>resentar os grá\ue01fcos <span class="ffb">a</span> ×<span class="ffb"> t </span>do MUV<span class="_4 blank"></span>.</div><div class="t m0 xa hb y3f ff8 fs3 fc2 sc0 ls0 ws4">5. Sugestão adicional</div><div class="t m0 xa he y40 ffb fs8 fc3 sc0 ls7 ws5">Simulaçõ<span class="_5 blank"> </span>es</div><div class="t m0 xa hd y41 ffa fs8 fc0 sc0 ls0 ws4">\u2022 <span class="_2 blank"> </span><span class="ws11">Mo<span class="_1 blank"></span>vimento co<span class="_1 blank"></span>m aceleração constan<span class="_1 blank"></span>te: <htt<span class="_1 blank"></span>p://ww<span class="_5 blank"> </span>w<span class="_0 blank"></span>.ph<span class="_1 blank"></span>ysics.</span></div><div class="t m0 xb hd y42 ffa fs8 fc0 sc0 ls0 ws6">uoguelph.ca/F<span class="_1 blank"></span>endt_ap<span class="_1 blank"></span>p/phe/acceleratio<span class="_1 blank"></span>n.html>.</div><div class="t m0 xc ha y43 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 9</div><div class="t m0 xa hb y44 ff8 fs3 fc2 sc0 ls0 ws4">1. Assunto</div><div class="t m0 xa hc y45 ff9 fs8 fc0 sc0 ls0 ws4">Mo<span class="_1 blank"></span>vimento r<span class="_1 blank"></span>etilíneo uniformemen<span class="_1 blank"></span>te variado: exercícios.</div><div class="t m0 xd ha y46 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 10</div><div class="t m0 xa hc y47 ff9 fs8 fc0 sc0 ls8 ws7">Revisão<span class="_1 blank"></span>.</div><div class="t m0 x8 hf y48 ffc fs7 fc1 sc0 ls9 ws4">Física I</div><div class="t m0 x8 h10 y49 ffd fs9 fc1 sc0 ls0 ws4">Guia do profes<span class="_1 blank"></span>sor</div><div class="t m0 xe h11 y4a ffe fs6 fc1 sc0 ls0">3</div><div class="t m0 xe h12 y4b fff fsa fc3 sc0 ls0 ws4">1ª Série</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg4.png"><div class="t m0 xf ha y12 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 6</div><div class="t m0 x10 h13 y4c ff10 fsb fc3 sc0 ls29 ws23">Exercícios concei<span class="_1 blank"></span>tuais</div><div class="t m0 x10 hc y4d ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> </span></div><div class="t m0 x10 hc y4e ff9 fs8 fc0 sc0 ls0 ws24">a. <span class="_6 blank"> </span>Os três mó<span class="_1 blank"></span>veis estão em movimen<span class="_1 blank"></span>to unifo<span class="_1 blank"></span>rme, pois os grá\ue01fcos<span class="ffb ws4"> </span></div><div class="t m0 x11 h14 y4f ffb fs8 fc0 sc0 ls0 ws4">s <span class="ff12">×</span> t <span class="ff9">dos três a<span class="_1 blank"></span>presentam r<span class="_1 blank"></span>etas crescentes.</span></div><div class="t m0 x10 hc y50 ff9 fs8 fc0 sc0 ls0 ws25">b<span class="_1 blank"></span>. <span class="_7 blank"> </span>O móv<span class="_1 blank"></span>el <span class="ffb">A</span> é o mais ráp<span class="_1 blank"></span>ido, poi<span class="_1 blank"></span>s sofre maior deslocamen<span class="_1 blank"></span>to em </div><div class="t m0 x11 hc y51 ff9 fs8 fc0 sc0 ls0 ws4">um mesmo in<span class="_1 blank"></span>ter<span class="_5 blank"> </span>valo de tempo<span class="_1 blank"></span>.</div><div class="t m0 x10 hc y52 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0"> <span class="ff11">(UFJF) Letra A.</span></span></div><div class="t m0 x10 hc y53 ff9 fs8 fc0 sc0 ls0 ws26">Entr<span class="_1 blank"></span>e os instantes 1 e 2, a posição do corpo não sofre alt<span class="_1 blank"></span>erações, </div><div class="t m0 x10 hc y54 ff9 fs8 fc0 sc0 ls0 ws4">acarretando valo<span class="_1 blank"></span>r nulo para a velocidade.</div><div class="t m0 x10 hc y55 ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0"> <span class="ff11">(FURRN) Letra B.</span></span></div><div class="t m0 x10 hc y56 ff9 fs8 fc0 sc0 ls2a ws12">Par a <span class="ffb ls0 ws4"> t <span class="ff9">= 2 h, temos</span></span></div><div class="t m0 x10 h14 y57 ffb fs8 fc0 sc0 ls0 ws13">s<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> = </span>k<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> + 40 · 2 <span class="ff12">\u2192</span> </span>s<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> = </span>k<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> + 80;</span></div><div class="t m0 x10 h14 y58 ffb fs8 fc0 sc0 lsa">s<span class="ff9 fsc ls0 ws14 v2">2</span><span class="ff9 ls0 ws4"> = </span><span class="ls0 ws13">k<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> + 60 · 2 <span class="ff12">\u2192</span> </span>s<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> = </span>k<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> + 120.</span></span></div><div class="t m0 x10 h14 y59 ff9 fs8 fc0 sc0 ls0 ws4">No en<span class="_1 blank"></span>contro <span class="ffb lsb">s</span><span class="fsc ws14 v2">1</span> = <span class="ffb ws13">s</span><span class="fsc lsc v2">2</span> <span class="ff12">\u2192</span> <span class="ffb ws13">k<span class="_1 blank"></span><span class="ff9 fsc ws14 v2">1<span class="fs8 ws4 v3"> + 80 = <span class="ffb ws13">k</span></span><span class="lsc">2<span class="fs8 ls0 ws4 v3"> + 120 <span class="ff12">\u2192</span> <span class="ffb ws13">k</span></span>1<span class="fs8 ls0 ws4 v3"> \u2013 <span class="ffb ws13">k</span></span>2<span class="fs8 ls0 ws4 v3"> = 40 km.</span></span></span></span></div><div class="t m0 x10 hc y5a ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0 ws27"> 33%.</span></div><div class="t m0 x10 hc y5b ffb fs8 fc0 sc0 ls0 ws13">d<span class="ff9 fsc lsc v2">1</span><span class="ff9 ws4"> = </span>v<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> · </span>t<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> e </span>d<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> = </span>v<span class="ff9 fsc lsc v2">2</span><span class="ff9 ws4"> · </span>t<span class="ff9 fsc ws14 v2">2</span><span class="ff9">.</span></div><div class="t m0 x10 hc y5c ff9 fs8 fc0 sc0 ls2b ws28">C<span class="_5 blank"> </span>omo <span class="ffb lsd">d</span><span class="fsc ls0 ws14 v2">1</span><span class="ls0 ws4"> = <span class="ffb ws13">d</span><span class="fsc lsc v2">2</span> e <span class="ffb ws13">v</span><span class="fsc ws14 v2">2</span> = 1,5<span class="ffb ws13">v</span><span class="fsc ws14 v2">1</span>, temos</span></div><div class="t m0 x10 h14 y5d ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> · </span>t<span class="ff9 fsc lsc v2">1</span><span class="ff9 ws4"> = </span>v<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> · </span>t<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> <span class="ff12">\u2192</span> </span>v<span class="ff9 fsc lsc v2">1</span><span class="ff9 ws4"> · </span>t<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> = 1,5</span>v<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> · </span>t<span class="ff9 fsc lsc v2">2</span><span class="ff9 ws4"> <span class="ff12">\u2192</span> </span>t<span class="ff9 fsc lsc v2">1</span><span class="ff9 ws4"> = 1,5 · </span>t<span class="ff9 fsc lsc v2">2</span><span class="ff9 ws4"> <span class="ff12">\u2192</span> </span>t<span class="ff9 fsc lsc v2">2</span><span class="ff9 ws4"> = 2/3 · </span>t<span class="ff9 fsc ws14 v2">1</span><span class="ff9">.</span></div><div class="t m0 x10 hc y5e ff9 fs8 fc0 sc0 ls0 ws4">Assim, o t<span class="_1 blank"></span>empo reduzi<span class="_1 blank"></span>u em 1/3.</div><div class="t m0 x10 hc y5f ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0"> <span class="ff11">(UFRJ) </span><span class="ws29">P<span class="_1 blank"></span>ara que não ha<span class="_1 blank"></span>ja colisão, o tr<span class="_1 blank"></span>em de passageiros deve </span></span></div><div class="t m0 x10 hc y60 ff9 fs8 fc0 sc0 ls0 ws2a">chegar ao desvio no mínimo q<span class="_1 blank"></span>uando o trem de carga en<span class="_1 blank"></span>tra nesse </div><div class="t m0 x10 hc y61 ff9 fs8 fc0 sc0 ls0 ws2b">desvio. O t<span class="_1 blank"></span>empo para que o trem de ca<span class="_1 blank"></span>rga chegue ao desvio é dado </div><div class="t m0 x10 hc y62 ff9 fs8 fc0 sc0 ls2b ws28">por<span class="_5 blank"> </span> </div><div class="c x11 y63 w2 h15"><div class="t m0 x0 h16 y64 ff13 fs8 fc0 sc0 lse">\u2206<span class="ls0 v4">\u2206</span></div></div><div class="t m0 x12 he y65 ff14 fs8 fc0 sc0 ls0">t</div><div class="c x11 y63 w2 h15"><div class="t m0 x13 he y66 ff14 fs8 fc0 sc0 ls0">s</div><div class="t m0 x14 he y67 ff14 fs8 fc0 sc0 ls0">v</div></div><div class="t m0 x15 h17 y65 ff13 fs8 fc0 sc0 ls2c">==</div><div class="c x11 y63 w2 h15"><div class="t m0 x15 h17 y66 ff13 fs8 fc0 sc0 ls0">+</div></div><div class="t m0 x16 h17 y65 ff13 fs8 fc0 sc0 ls0">=</div><div class="c x11 y63 w2 h15"><div class="t m0 x17 hd y66 ff15 fs8 fc0 sc0 ls1 ws15">200 50</div><div class="t m0 x12 hd y67 ff15 fs8 fc0 sc0 ls1">10</div></div><div class="t m0 x18 hd y65 ff15 fs8 fc0 sc0 ls1">25</div><div class="c x11 y63 w2 h15"><div class="t m0 x1 hd y64 ff15 fs8 fc0 sc0 ls2d">s.</div></div><div class="t m0 x10 hc y68 ff9 fs8 fc0 sc0 ls0 ws2f">Como esse tempo é mínimo<span class="_0 blank"></span>, ele nos fornece a máxima velocidade </div><div class="t m0 x10 hc y69 ff9 fs8 fc0 sc0 ls0 ws4">do trem de passageir<span class="_1 blank"></span>os. </div><div class="t m0 x16 h14 y6a ffb fs8 fc0 sc0 lsf">V<span class="ff12 ls0 ws16">= =</span></div><div class="t m0 x19 hc y6b ff9 fs8 fc0 sc0 ls1">400</div><div class="c x6 y6c w3 h18"><div class="t m0 x14 hc y6d ff9 fs8 fc0 sc0 ls1">25</div></div><div class="t m0 x1a hc y6a ff9 fs8 fc0 sc0 ls1 ws17">16 <span class="ls0 ws30"> m<span class="ls2e ws18">/s</span>.</span></div><div class="t m0 x10 hc y6e ff11 fs8 fc1 sc0 ls0 ws4"> 06 <span class="ff9 fc0"> <span class="ff11">(FGV<span class="_0 blank"></span>-SP) Letra E.</span></span></div><div class="t m0 x10 hc y6f ff9 fs8 fc0 sc0 ls0 ws31">\u2013 <span class="_3 blank"></span> <span class="_8 blank"></span>Como a saída ocorreu em tem<span class="_1 blank"></span>pos diferen<span class="_1 blank"></span>tes, podemos p<span class="_5 blank"> </span>ensar </div><div class="t m0 x1b hc y70 ff9 fs8 fc0 sc0 ls10 ws32">de modo a simpli\ue01fca<span class="_1 blank"></span>r o problema da seguin<span class="_1 blank"></span>te maneira: a<span class="_1 blank"></span>pós<span class="ls0 ws4"> </span></div><div class="t m0 x1b hc y71 ff9 fs8 fc0 sc0 ls0 ws33">1 h 30 min, o batalhão da infanta<span class="_1 blank"></span>ria, que tem uma velocidade de <span class="_9 blank"></span><span class="ws4"> </span></div><div class="t m0 x1b hc y72 ff9 fs8 fc0 sc0 ls0 ws34">5 km/h, está na posição 7,5 km de nossa trajetória, adotando o </div><div class="t m0 x1b hc y73 ff9 fs8 fc0 sc0 ls0 ws4">quartel co<span class="_1 blank"></span>mo referên<span class="_1 blank"></span>cia (zero).</div><div class="t m0 x10 hc y74 ff9 fs8 fc0 sc0 ls2f ws35">\u2013 <span class="_a blank"> </span> <span class="_4 blank"></span>Chaman<span class="_1 blank"></span>do o batalhão de <span class="ffb ls0 ws13">A</span> e a or<span class="_1 blank"></span>denança de <span class="ffb ls0 ws13">B</span>, podemos con<span class="_1 blank"></span>struir </div><div class="t m0 x1b hc y75 ff9 fs8 fc0 sc0 ls0 ws4">as equações para o movimen<span class="_1 blank"></span>to:</div><div class="t m0 x10 hc y76 ff9 fs8 fc0 sc0 ls2b ws28">C<span class="_5 blank"> </span>orp<span class="_5 blank"> </span>o <span class="ffb ls11">A</span><span class="ls0 ws36 v0">: C<span class="_5 blank"> </span>orpo <span class="_b blank"></span><span class="ffb">B<span class="ff9">:</span></span></span></div><div class="t m0 x10 h19 y77 ffb fs8 fc0 sc0 ls12">s<span class="fsc ls0 ws19 v2">A</span><span class="ff9 ls0 ws4 v0"> = s<span class="fsc lsc v2">0</span> +</span><span class="ls2 ws37 v0"> vt<span class="ff9 ls13 ws4"> </span><span class="ls0 ws13">s<span class="fsc ws19 v2">B</span><span class="ff9 ws4"> = </span>s<span class="ff9 fsc lsc v2">0</span><span class="ff9 ws4"> + </span></span>vt</span></div><div class="t m0 x10 hc y78 ffb fs8 fc0 sc0 ls0 ws13">s<span class="fsc ws19 v2">A</span><span class="ff9 ws4"> = 7,5 + 5</span>t<span class="ff9 ls14 ws4"> </span>s<span class="fsc ws19 v2">B</span><span class="ff9 ws4"> = 0 + 80</span>t</div><div class="t m0 x10 hc y79 ff9 fs8 fc0 sc0 ls0 ws4">O instan<span class="_1 blank"></span>te do encon<span class="_1 blank"></span>tro é <span class="ffb ws13">s<span class="fsc ws19 v2">A</span><span class="ws4"> </span></span>= <span class="ffb ws13">s<span class="fsc ws19 v2">B</span></span>.</div><div class="t m0 x10 hc y7a ff9 fs8 fc0 sc0 ls0 ws4">7,5 + 5<span class="ffb">t</span> = 0 + 80<span class="ffb">t</span></div><div class="t m0 x10 hc y7b ff9 fs8 fc0 sc0 ls0 ws4">7,5 = 80<span class="ffb">t</span> \u2212 5<span class="ffb">t</span></div><div class="t m0 x10 hc y7c ff9 fs8 fc0 sc0 ls0 ws4">7,5 = 75<span class="ffb">t</span></div><div class="t m0 x10 hc y7d ff9 fs8 fc0 sc0 ls0">75<span class="ffb">t</span><span class="ws4"> = 7,5</span></div><div class="t m0 x10 hc y7e ffb fs8 fc0 sc0 ls0">t<span class="ff9 ws4"> = 7,5/75</span></div><div class="t m0 x10 hc y7f ffb fs8 fc0 sc0 ls0">t<span class="ff9 ws4"> = 0,1 h</span></div><div class="t m0 x10 hc y80 ffb fs8 fc0 sc0 ls0">t<span class="ff9 ws4"> = 0,1 \u2219 60 min</span></div><div class="t m0 x10 hc y81 ffb fs8 fc0 sc0 ls0">t<span class="ff9 ws4"> = 6 min.</span></div><div class="t m0 x10 h1a y82 ff11 fs8 fc1 sc0 ls0 ws4"> 07 <span class="ff9 fc0 ls15 ws32 v0"> <span class="_4 blank"></span>Em<span class="_1 blank"></span>bora os deslocamentos sejam iguais, os t<span class="_1 blank"></span>empos são<span class="_1 blank"></span> </span></div><div class="t m0 x10 hc y83 ff9 fs8 fc0 sc0 ls30 ws32">diferen<span class="_1 blank"></span>tes, pois as velocidades tam<span class="_1 blank"></span>bém s<span class="_5 blank"> </span>ão<span class="_1 blank"></span>. Chamando de <span class="ffb ls16">t</span><span class="fsc ls17 v2">1</span><span class="ls0 ws38"> o </span></div><div class="t m0 x10 hc y84 ff9 fs8 fc0 sc0 ls10 ws8">tempo no p<span class="_1 blank"></span>rimeiro trajeto e de <span class="ffb ls18">t</span><span class="fsc ls19 v2">2</span><span class="v0"> o tem<span class="_1 blank"></span>po no segundo trajeto<span class="_1 blank"></span>, </span></div><div class="t m0 x10 h1b y85 ff9 fs8 fc0 sc0 ls0 ws39">podemos escrever que <span class="ff12">\u0394<span class="ffb ws13">s</span></span><span class="fsc ws14 v2">1</span><span class="v0"> = <span class="ff12">\u0394<span class="ffb ws13">s</span></span><span class="fsc lsc v2">2</span><span class="ws4"> <span class="_1 blank"></span><span class="ff12">\u2192<span class="ff9 ws39"> 25<span class="ffb ws13">t</span><span class="fsc ws4 v2">1 </span></span></span></span></span></div><div class="t m0 x1c h14 y86 ff9 fs8 fc0 sc0 ls0 ws39">= 15<span class="ffb ws13">t</span><span class="fsc ws14 v2">2</span><span class="ws4"> <span class="_1 blank"></span><span class="ff12">\u2192<span class="ff9"> <span class="_1 blank"></span><span class="ffb ws13">t<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws39"> = (5/3)</span>t<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws39">. Como <span class="_9 blank"></span><span class="ws4"> </span></span></span></span></span></span></div><div class="t m0 x10 h14 y87 ffb fs8 fc0 sc0 ls1a">t<span class="ff9 fsc ls1b v2">1</span><span class="ff9 ls4 ws8"> + </span><span class="ls1c">t<span class="ff9 fsc ls1d v2">2</span><span class="ff9 ls4 ws8"> = 32 (2 minu<span class="_1 blank"></span>tos a abelha \ue01fcou parada) <span class="ff12">\u2192</span><span class="ls1e ws4"> <span class="ffb ls1f">t</span><span class="fsc ls31 ws3a v2">1 <span class="_5 blank"> </span></span></span>= 12 min e <span class="_c blank"></span><span class="ls0 ws4"> </span></span></span></div><div class="t m0 x10 h1c y88 ffb fs8 fc0 sc0 ls0 ws13">t<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4 v0"> = 20 min <span class="ff12">\u2192</span> </span><span class="v0">t<span class="ff9 fsc lsc v2">1</span><span class="ff9 ws4"> = 720 s e </span>t<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> = 1.200 s.</span></span></div><div class="t m0 x1d hc y89 ff9 fs8 fc0 sc0 ls0 ws4">Fazendo o grá<span class="_1 blank"></span>\ue01fco teremos:</div><div class="t m0 x1e h1d y8a ff16 fsd fc0 sc0 ls0 ws1a">5.000</div><div class="t m0 xb h1d y8b ff16 fsd fc0 sc0 ls32 ws1b">720 <span class="ls0 ws1c">840 2.040</span></div><div class="t m0 xa h1d y8c ff17 fsd fc0 sc0 ls0 ws4">s <span class="ff16">(m)</span></div><div class="t m0 x1f h1e y8d ff17 fsd fc0 sc0 ls0 ws4">t <span class="ff16 ls33 ws1d">(s) <span class="ls32 ws1e v5">720</span></span></div><div class="t m0 x20 h1f y8e ff16 fsd fc0 sc0 ls0 ws1b">840 <span class="ws1a v6">2.040</span></div><div class="t m0 x21 h1d y8f ff16 fsd fc0 sc0 ls0 ws4">25 km/h</div><div class="t m0 x22 h1d y90 ff16 fsd fc0 sc0 ls0 ws4">15 km/h</div><div class="t m0 x23 h1d y91 ff17 fsd fc0 sc0 ls0 ws4">t <span class="ff16 ls33">(s)</span></div><div class="t m0 x24 h1d y92 ff17 fsd fc0 sc0 ls0 ws4">v (<span class="ff16">km/h</span>)</div><div class="t m0 x1d hc y93 ff11 fs8 fc1 sc0 ls0 ws4"> 08 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UERJ</span><span class="ls0">) <span class="ffb ws13">v</span></span></span><span class="fsc ws14 v2">2</span> < <span class="ffb ws13">v</span><span class="fsc lsc v2">3</span> < <span class="ffb ws13">v</span><span class="fsc ws14 v2">1</span>.</span></div><div class="t m0 x1d hc y94 ff9 fs8 fc0 sc0 ls0 ws3c">No grá<span class="_1 blank"></span>\ue01fco<span class="ffb"> s </span>×<span class="ffb"> t</span>,<span class="ffb ws4"> </span>a inclinação da reta tan<span class="_1 blank"></span>gente f<span class="_1 blank"></span>ornece a velocidade </div><div class="t m0 x1d hc y95 ff9 fs8 fc0 sc0 ls0 wsd">do corpo. Em <span class="ffb ws13">t</span><span class="fsc ws14 v2">1</span>, a inc<span class="_1 blank"></span>linação da reta tangen<span class="_1 blank"></span>te é maior q<span class="_1 blank"></span>ue em <span class="ffb ws13">t</span><span class="fsc lsc v2">3</span><span class="ws4">, </span></div><div class="t m0 x1d hc y96 ff9 fs8 fc0 sc0 ls0 ws4">que, por sua v<span class="_1 blank"></span>ez, é maior que em<span class="ffb"> t</span><span class="fsc lsc v2">2</span><span class="v0">.</span></div><div class="t m0 x1d h19 y97 ff11 fs8 fc1 sc0 ls0 ws4"> 09 <span class="ff9 fc0 v0"> <span class="ff11">(IFPE) Letra D<span class="_1 blank"></span>. </span></span></div><div class="t m0 x1d hc y98 ff9 fs8 fc0 sc0 ls5 ws8">A \u201c<span class="_0 blank"></span>área<span class="_3 blank"></span>\u201d no diagrama <span class="ffb ls22">v</span><span class="ls0 ws3d"> ×</span><span class="ffb ws32"> t </span>é numericamen<span class="_1 blank"></span>te igual ao espaço </div><div class="t m0 x1d hc y99 ff9 fs8 fc0 sc0 ls0 ws4">percorrido (<span class="ffb">d</span>).</div><div class="t m0 x1d hc y9a ff9 fs8 fc0 sc0 ls34 wse">Dividimos a \ue01fgura em d<span class="_1 blank"></span>uas partes e calcu<span class="_5 blank"> </span>lamos a \u201c<span class="_3 blank"></span>área<span class="_0 blank"></span>\u201d da seguinte </div><div class="t m0 x1d hc y9b ff9 fs8 fc0 sc0 ls2b ws20">form a :</div><div class="t m0 x1d hc y9c ffb fs8 fc0 sc0 ls23">d<span class="ff9 ls0 ws3e"> =</span><span class="ls0 ws3f"> A<span class="ff9 fsc ls24 v2">1</span></span><span class="ff9 ws8"> (trapézio) + </span><span class="ls25">A<span class="ff9 fsc ls24 v2">2</span></span><span class="ff9 ws8"> (retângulo) = (10 + 2) · 1/2 + 10 · 1 = <span class="_d blank"></span><span class="ls0 ws4"> </span></span></div><div class="t m0 x1d hc y9d ff9 fs8 fc0 sc0 ls35 ws4">6 + 10 = 16 km.</div><div class="t m0 x1d hc y9e ff9 fs8 fc0 sc0 ls0 ws4">O tempo to<span class="_1 blank"></span>tal gasto é<span class="ffb"> t </span>= 2 h.</div><div class="t m0 x1d hc y9f ff9 fs8 fc0 sc0 ls0 ws4">Então<span class="_1 blank"></span>, a velocidade média é <span class="ffb ls26">v<span class="fsc ls0 ws19 v2">m</span><span class="ls0"> </span></span>= <span class="ffb">d</span>/<span class="ffb">t</span> = 16/2 = 8 km/h.</div><div class="t m0 x1d h14 ya0 ff11 fs8 fc1 sc0 ls0 ws4"> 10 <span class="ff9 fc0 ls34 ws40"> <span class="_5 blank"> </span>No grá\ue01fco <span class="ffb ls0 ws13">v<span class="ff9 ws4"> <span class="_3 blank"></span><span class="ff12 ws21">×<span class="ffb ls36 ws41"> t, <span class="ff9 ls34 ws40">a área é numericamen<span class="_1 blank"></span>te igual ao deslocamento </span></span></span></span></span></span></div><div class="t m0 x1d hc ya1 ff9 fs8 fc0 sc0 ls0 ws42">do móv<span class="_1 blank"></span>el. A área destacada no grá\ue01fco é exa<span class="_1 blank"></span>tamente a dif<span class="_1 blank"></span>erença das </div><div class="t m0 x1d hc ya2 ff9 fs8 fc0 sc0 ls0 ws43">áreas de <span class="ffb">M</span> e <span class="ffb">N</span>, r<span class="_1 blank"></span>espect<span class="_5 blank"> </span>ivamen<span class="_1 blank"></span>te, e, por is<span class="_1 blank"></span>so, rep<span class="_1 blank"></span>resenta a distância </div><div class="t m0 x1d hc ya3 ff9 fs8 fc0 sc0 ls0 ws4">entr<span class="_1 blank"></span>e eles no referido in<span class="_1 blank"></span>ter<span class="_5 blank"> </span>valo. </div><div class="t m0 x1d h13 ya4 ff10 fsb fc3 sc0 ls29 ws23">Exercícios con<span class="_1 blank"></span>textuali<span class="_1 blank"></span>z<span class="_5 blank"> </span>ados</div><div class="t m0 x1d hc ya5 ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11">(F<span class="_3 blank"></span>A<span class="_0 blank"></span>TEC) L<span class="_5 blank"> </span>etra B.</span></span></div><div class="t m0 x1d h14 ya6 ff9 fs8 fc0 sc0 ls0 ws44">Ma<span class="_1 blank"></span>teo gasta um tempo <span class="ff12 ws21">\u0394<span class="ffb">t</span></span> = 2.500 m/1 m/s = 2.500 s<span class="ffb ws4"> <span class="_0 blank"></span><span class="ff9 ws44">= 41 min 40 s. <span class="_4 blank"></span><span class="ws4"> </span></span></span></div><div class="t m0 x1d hc ya7 ff9 fs8 fc0 sc0 ls0 ws4">P<span class="_1 blank"></span>ortanto<span class="_0 blank"></span>, Mateo chega<span class="_1 blank"></span>rá no ponto às 13h21min40s.</div><div class="t m0 x1d h14 ya8 ff9 fs8 fc0 sc0 ls2f ws40">Isabela gastará um <span class="_1 blank"></span>tempo <span class="ff12 ls0 ws21">\u0394<span class="ffb ws13">t</span></span> = 1.000 m/1 m/s = 1.000 s<span class="ffb ls0 ws4"> <span class="_3 blank"></span><span class="ff9 ls2f ws40">= 16 min 40 s.<span class="_5 blank"> </span> </span></span></div><div class="t m0 x1d hc ya9 ff9 fs8 fc0 sc0 ls35 ws45">P<span class="_1 blank"></span>ortanto<span class="_0 blank"></span>, Isabela deverá sair de casa às (13h21min40s) \u2013 (16 min 40 s)<span class="_5 blank"> </span> </div><div class="t m0 x1d hc yaa ff9 fs8 fc0 sc0 ls35 ws4">= 13h05min.</div><div class="t m0 x1d hc yab ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">FUVES<span class="_1 blank"></span>T<span class="ls0 ws4">) L<span class="_5 blank"> </span>etra B.</span></span></span></span></div><div class="t m0 x1d hc yac ff9 fs8 fc0 sc0 ls27 ws32">No grá<span class="_1 blank"></span>fico velocidade de crescimento vertical <span class="ffb ls37 ws22">versus</span><span class="ls0 ws46"> t<span class="_5 blank"> </span>e<span class="_5 blank"> </span>mp<span class="_5 blank"> </span>o </span></div><div class="t m0 x1d hc yad ff9 fs8 fc0 sc0 ls0 ws47">decorrido após o plan<span class="_1 blank"></span>tio, a alt<span class="_1 blank"></span>ura \ue01fnal de cada planta é n<span class="_1 blank"></span>umeri-</div><div class="t m0 x1d hc yae ff9 fs8 fc0 sc0 ls0 ws26">camen<span class="_1 blank"></span>te igual à área sob a sua respectiva cur<span class="_5 blank"> </span>va. Como a área do </div><div class="t m0 x1d hc yaf ff9 fs8 fc0 sc0 ls0 ws31">grá\ue01fco que r<span class="_1 blank"></span>epresenta a pla<span class="_1 blank"></span>nta <span class="ffb">B</span> é maior do q<span class="_1 blank"></span>ue a da planta <span class="ffb">A</span><span class="ws4">, <span class="_e blank"></span> </span></div><div class="t m0 x1d hc yb0 ff9 fs8 fc0 sc0 ls0 ws4">a plan<span class="_1 blank"></span>ta <span class="ffb">B</span> atinge alt<span class="_1 blank"></span>ura \ue01fnal maior do que <span class="ffb">A</span>.</div><div class="t m0 x1d hc yb1 ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0"> <span class="ff11">(PUC) Letra B.</span></span></div><div class="t m0 x1d hc yb2 ff9 fs8 fc0 sc0 ls0 ws48">P<span class="_1 blank"></span>ela análise do grá\ue01fco<span class="_1 blank"></span>, veri\ue01fcamos que o corr<span class="_1 blank"></span>edor <span class="ffb">A</span> é o primeiro </div><div class="t m0 x1d hc yb3 ff9 fs8 fc0 sc0 ls0 ws49">a atingir a posição de 42 km. A velocidade no grá\ue01fco<span class="ffb"> s </span>×<span class="ffb"> t </span>pode ser </div><div class="t m0 x1d hc yb4 ff9 fs8 fc0 sc0 ls38 wse">analisada pela inclinação da reta tang<span class="_1 blank"></span>ente no pon<span class="_1 blank"></span>to pedido. A linha </div><div class="t m0 x1d hc yb5 ff9 fs8 fc0 sc0 ls2d wse">que possui meno<span class="_1 blank"></span>r inclinação (por estar mai<span class="_1 blank"></span>s pró<span class="_1 blank"></span>xima da horizon<span class="_1 blank"></span>tal)<span class="_5 blank"> </span> </div><div class="t m0 x1d hc yb6 ff9 fs8 fc0 sc0 ls0 ws4">no momen<span class="_1 blank"></span>to de cruzar a linha de chegada é a do mó<span class="_1 blank"></span>vel <span class="ffb">C</span>.</div><div class="t m0 x1d hc yb7 ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">FUVES<span class="_1 blank"></span>T<span class="ls0 ws4">) L<span class="_5 blank"> </span>etra D<span class="_1 blank"></span>.</span></span></span></span></div><div class="t m0 x1d hc yb8 ff9 fs8 fc0 sc0 ls0 ws4a">T<span class="_3 blank"></span>er uma velocidade média de 2 m/s signi\ue01fca que, em um tempo </div><div class="t m0 x1d hc yb9 ff9 fs8 fc0 sc0 ls0 ws4b">de 100 s,<span class="ffb ls28 ws4"> </span>o corpo se deslocou 200 m. Dos grá\ue01fcos fornecidos, o </div><div class="t m0 x1d hc yba ff9 fs8 fc0 sc0 ls20 ws32">único que rep<span class="_1 blank"></span>resenta deslocamen<span class="_1 blank"></span>to de 200 m é o rep<span class="_1 blank"></span>resentado </div><div class="t m0 x1d hc ybb ff9 fs8 fc0 sc0 ls0 ws4">pela alternativa D<span class="_0 blank"></span>.</div><div class="t m0 x1d hc ybc ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">FUVES<span class="_1 blank"></span>T<span class="ls0 ws4">) L<span class="_5 blank"> </span>etra A.</span></span></span></span></div><div class="t m0 x1d hc ybd ff9 fs8 fc0 sc0 ls0 ws4c">Analisando os grá\ue01fcos, percebemos q<span class="_1 blank"></span>ue, para o mesmo int<span class="_1 blank"></span>er<span class="_5 blank"> </span>valo </div><div class="t m0 x1d hc ybe ff9 fs8 fc0 sc0 ls0 ws27">de tempo \u201c<span class="ffb">b</span>\u201d<span class="_4 blank"></span>, o deslocamen<span class="_1 blank"></span>to dos três mó<span class="_1 blank"></span>veis é \u201c<span class="ffb">a</span>/2\u201d<span class="_4 blank"></span>, o que indica </div><div class="t m0 x1d hc ybf ff9 fs8 fc0 sc0 ls0 ws4">que a velocidade média é igual. </div><div class="t m0 x1d hc yc0 ff11 fs8 fc1 sc0 ls0 ws4"> 06 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">FUVES<span class="_1 blank"></span>T<span class="ls0 ws4">) L<span class="_5 blank"> </span>etra C.<span class="ff9"> </span></span></span></span></span></div><div class="t m0 x1d hc yc1 ff9 fs8 fc0 sc0 ls0 ws4d">Embora o deslocamen<span class="_1 blank"></span>to entr<span class="_1 blank"></span>e o começo e o \ue01fm seja de 80 m, a </div><div class="t m0 x1d hc yc2 ff9 fs8 fc0 sc0 ls39 ws40">distância percorrida é 120 m (100 m no sentido da trajetó<span class="_1 blank"></span>ria e 20 m <span class="_4 blank"></span><span class="ls0 ws4"> </span></div><div class="t m0 x1d hc yc3 ff9 fs8 fc0 sc0 ls0 ws4">no sentido con<span class="_1 blank"></span>trário à trajetória).</div><div class="t m0 x10 hf y48 ff18 fs7 fc1 sc0 ls9 ws4">Física I</div><div class="t m0 x10 h10 y49 ff19 fs9 fc1 sc0 ls0 ws4">Gabarito c<span class="_1 blank"></span>omentado</div><div class="t m0 x25 h11 yc4 ffe fs6 fc1 sc0 ls0">4</div><div class="t m0 x25 h12 yc5 fff fsa fc3 sc0 ls0 ws4">1ª Série</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg5.png"><div class="t m0 x26 h11 yc6 ffe fs6 fc4 sc0 ls3a ws68">LIVRO DO<span class="_1 blank"></span> PROFESSOR</div><div class="t m0 x27 h20 yc7 ff8 fse fc3 sc0 ls0 ws4">Física I</div><div class="t m0 xe h11 y4a ffe fs6 fc1 sc0 ls0">5</div><div class="t m0 xe h12 y4b ff1a fsa fc3 sc0 ls0 ws4">1ª Série</div><div class="t m0 x8 hc yc8 ff11 fs8 fc1 sc0 ls0 ws4"> 07 <span class="ff9 fc0"> <span class="ff11">(UEL) Letra B.</span></span></div><div class="t m0 x8 hc yc9 ff9 fs8 fc0 sc0 ls8 ws8">Como nada foi di<span class="_1 blank"></span>to a respeit<span class="_1 blank"></span>o de suas reais posições, podemos </div><div class="t m0 x8 hc yca ff9 fs8 fc0 sc0 ls0 ws69">adotar<span class="_0 blank"></span>, para a cidade <span class="ffb">A</span>, o espaço 0 (pois a res<span class="_1 blank"></span>posta p<span class="_5 blank"> </span>ede a distância </div><div class="t m0 x8 hc ycb ff9 fs8 fc0 sc0 ls39 wse">em relação à cidade <span class="ffb ls0 ws13">A</span>) e, para a cidade <span class="ffb ls0 ws13">B</span>, o espaço 400 km. Como o </div><div class="t m0 x8 hc ycc ff9 fs8 fc0 sc0 ls2f ws5">móvel<span class="ffb ls0 ws6a"> P</span><span class="ls36 wse"> está se mo<span class="_1 blank"></span>vendo na direção positiva do eixo<span class="_1 blank"></span>, sua velocidade </span></div><div class="t m0 x8 hc ycd ff9 fs8 fc0 sc0 ls0 ws6b">é positiva. Como o móv<span class="_1 blank"></span>el <span class="ffb">Q</span> está se movendo na dir<span class="_1 blank"></span>eção negativa </div><div class="t m0 x8 hc yce ff9 fs8 fc0 sc0 ls0 ws4">do eixo<span class="_1 blank"></span>, sua velocidade é negativa.</div><div class="t m0 x8 hc ycf ff9 fs8 fc0 sc0 ls0 ws32">U<span class="_1 blank"></span>tilizando o esquema mon<span class="_1 blank"></span>tado acima construímos as equações </div><div class="t m0 x8 hc yd0 ff9 fs8 fc0 sc0 ls0 ws4">para o movimen<span class="_1 blank"></span>to:</div><div class="t m0 x8 hc yd1 ff9 fs8 fc0 sc0 ls2b ws28">C<span class="_5 blank"> </span>orp<span class="_5 blank"> </span>o <span class="ffb ls0 ws13">P<span class="ff9 ws6c">: C<span class="_5 blank"> </span>orpo <span class="_f blank"></span><span class="ffb">Q<span class="ff9">:</span></span></span></span></div><div class="t m0 x8 hc yd2 ffb fs8 fc0 sc0 ls12">s<span class="fsc ls0 ws19 v2">P</span><span class="ff9 ls0 ws4"> = </span><span class="ls0 ws13">s<span class="ff9 fsc ws14 v2">0</span><span class="ff9 ws4"> +</span></span><span class="ls2 ws37"> vt</span><span class="ff9 ls3b ws4"> </span><span class="ls0 ws13">s<span class="fsc ls3c v2">Q</span><span class="ff9 ws4"> = </span>s<span class="ff9 fsc lsc v2">0</span><span class="ff9 ws4"> + </span><span class="ls2">vt</span></span></div><div class="t m0 x8 hc yd3 ffb fs8 fc0 sc0 ls0 ws13">s<span class="fsc ws19 v2">P</span><span class="ws4"> <span class="ff9">= 0 + 30</span></span>t<span class="ff9 ls3d ws4"> </span>s<span class="fsc ls3c v2">Q</span><span class="ff9 ws4"> = 400 \u2212 50</span>t</div><div class="t m0 x8 hc yd4 ffb fs8 fc0 sc0 ls0 ws13">s<span class="fsc ws19 v2">P</span><span class="ff9 ws4"> = 30</span>t</div><div class="t m0 x8 hc yd5 ff9 fs8 fc0 sc0 ls0 ws4">O instan<span class="_1 blank"></span>te do encon<span class="_1 blank"></span>tro é <span class="ffb ws13">s<span class="fsc ws19 v2">P</span></span> = <span class="ffb ws13">s<span class="fsc ls3c v2">Q</span></span>.</div><div class="t m0 x8 hc yd6 ff9 fs8 fc0 sc0 ls0">30<span class="ffb">t</span><span class="ws4"> = 400 \u2212 50<span class="ffb">t</span></span></div><div class="t m0 x8 hc yd7 ff9 fs8 fc0 sc0 ls0">30<span class="ffb">t</span><span class="ws4"> + 50<span class="ffb">t</span> = 400</span></div><div class="t m0 x8 hc yd8 ff9 fs8 fc0 sc0 ls0">80<span class="ffb">t</span><span class="ws4"> = 400</span></div><div class="t m0 x8 hc yd9 ffb fs8 fc0 sc0 ls0">t<span class="ff9 ws4"> = 400/80</span></div><div class="t m0 x8 hc yda ffb fs8 fc0 sc0 ls0">t<span class="ff9 ws4"> = 5 h.</span></div><div class="t m0 x8 hc ydb ff9 fs8 fc0 sc0 ls0 ws4">A posição do encontr<span class="_1 blank"></span>o é:</div><div class="t m0 x8 hc ydc ffb fs8 fc0 sc0 ls0 ws13">s<span class="fsc ws19 v2">P</span><span class="ff9 ws4"> = 30</span>t</div><div class="t m0 x8 hc ydd ffb fs8 fc0 sc0 ls3e">s<span class="fsc ls0 ws19 v2">P</span><span class="ff9 ls0 ws4"> = 30 \u2219 5</span></div><div class="t m0 x8 hc yde ffb fs8 fc0 sc0 ls3e">s<span class="fsc ls0 ws19 v2">P</span><span class="ff9 ls0 ws4"> = 150 km.</span></div><div class="t m0 x8 h21 ydf ff11 fs8 fc1 sc0 ls0 ws4"> 08 <span class="ff9 fc0 v0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFSC</span><span class="ls0">) <span class="ls62 ws6d">L<span class="_5 blank"> </span>e<span class="_5 blank"> </span>t<span class="_5 blank"> </span>r<span class="_5 blank"> </span>a<span class="_5 blank"> </span> D.</span></span></span></span></div><div class="t m0 x8 hc ye0 ff9 fs8 fc0 sc0 ls0 ws6e">O grá\ue01fco mostra que o ga<span class="_1 blank"></span>to estava a 5,0 m do ra<span class="_1 blank"></span>tinho no instan<span class="_1 blank"></span>te </div><div class="t m0 x8 hc ye1 ff9 fs8 fc0 sc0 ls0 ws4">em que começo<span class="_1 blank"></span>u a persegui-lo.</div><div class="t m0 x8 hc ye2 ff11 fs8 fc1 sc0 ls0 ws4"> 09 <span class="ff9 fc0"> <span class="ff11">(UFCE) Letra E.</span></span></div><div class="t m0 x8 hc ye3 ff9 fs8 fc0 sc0 ls3f ws32">No<span class="_1 blank"></span>te que, qua<span class="_1 blank"></span>ndo o primeiro soldado está com uma perna, o </div><div class="t m0 x8 hc ye4 ff9 fs8 fc0 sc0 ls0 ws47">último está com o<span class="_1 blank"></span>utra perna. Então, q<span class="_1 blank"></span>uando o primeiro soldado </div><div class="t m0 x8 hc ye5 ff9 fs8 fc0 sc0 ls30 ws8">bate o tam<span class="_1 blank"></span>bor<span class="_0 blank"></span>, o último escuta a batida anterio<span class="_1 blank"></span>r<span class="_0 blank"></span>. Dess<span class="_5 blank"> </span>a fo<span class="_1 blank"></span>rma, </div><div class="t m0 x28 he ye6 ff1b fs8 fc0 sc0 ls40">t<span class="ff1c ls0">=</span></div><div class="c x8 ye7 w4 h15"><div class="t m0 x0 h22 y64 ff1b fs8 fc0 sc0 ls41">v<span class="ls0 v4">s</span></div><div class="t m0 x14 he ye8 ff1b fs8 fc0 sc0 ls0">t</div></div><div class="t m0 x12 h17 ye6 ff1c fs8 fc0 sc0 ls63">=\u2192</div><div class="c x8 ye7 w4 h15"><div class="t m0 x29 h17 ye9 ff1c fs8 fc0 sc0 ls0">\u2206</div></div><div class="t m0 x9 h23 yea ff1c fs8 fc0 sc0 ls42">\u2206<span class="ls0 v7">\u2206</span></div><div class="c x8 ye7 w4 h15"><div class="t m0 x2a he y64 ff1b fs8 fc0 sc0 ls0">s.</div></div><div class="t m0 x2b hd ye6 ff1d fs8 fc0 sc0 ls1">340</div><div class="t m0 x8 hc yeb ff9 fs8 fc0 sc0 ls4 ws32">Como eles dão 120 passos por minu<span class="_1 blank"></span>to, <span class="_1 blank"></span>temos que a velocidade </div><div class="t m0 x8 hc yec ff9 fs8 fc0 sc0 ls0 ws70">média de cada passo é 120/60 = 2 passos/s<span class="_5 blank"> </span>egundo<span class="_1 blank"></span>. Assim, tem<span class="_1 blank"></span>os </div><div class="t m0 x8 hc yed ff9 fs8 fc0 sc0 ls0 ws71">duas batidas de tam<span class="_1 blank"></span>bor por segundo. Quan<span class="_1 blank"></span>do o primeiro der o </div><div class="t m0 x8 hc yee ff9 fs8 fc0 sc0 ls0 ws72">segundo passo, o úl<span class="_1 blank"></span>timo dará o primeiro passo<span class="_1 blank"></span>, o que nos leva a </div><div class="t m0 x8 hc yef ff9 fs8 fc0 sc0 ls0 ws4">um intervalo de tempo de 0,5 segundo<span class="_1 blank"></span>.</div><div class="t m0 x8 h14 yf0 ff9 fs8 fc0 sc0 ls43 ws32">Substi<span class="_1 blank"></span>tuindo na primeira equação<span class="_1 blank"></span>, teremos 340 · 0,5 = <span class="ff12 ls44">\u0394</span><span class="ffb">s</span><span class="ls45 ws4"> <span class="ff12 ls0">\u2192<span class="ff9"> <span class="_e blank"></span> </span></span></span></div><div class="t m0 x8 h14 yf1 ff12 fs8 fc0 sc0 ls0">\u0394<span class="ffb">s<span class="ff9 ws4"> = 170 m.</span></span></div><div class="t m0 x8 hc yf2 ff9 fs8 fc0 sc0 ls10 ws32">Lembrando <span class="_1 blank"></span>que cada soldado está espaçado por uma distância </div><div class="t m0 x8 hc yf3 ff9 fs8 fc0 sc0 ls0 ws11">de 2 m e considera<span class="_1 blank"></span>ndo como <span class="ffb ws4">N <span class="_a blank"> </span></span>o númer<span class="_1 blank"></span>o de soldados, teremos </div><div class="c x8 yf4 w5 h24"><div class="t m0 x0 h22 yf5 ff1e fs8 fc0 sc0 ls46">N<span class="ls0 v4">s</span></div><div class="t m0 x2c h17 yf5 ff1f fs8 fc0 sc0 ls64">=+</div><div class="t m0 x2d h17 yf6 ff1f fs8 fc0 sc0 ls0">\u2206</div><div class="t m0 x2e h25 yf7 ff20 fs8 fc0 sc0 ls47">2<span class="ls0 v7">1</span></div></div><div class="t m0 x2f hc yf8 ff9 fs8 fc0 sc0 ls0 ws4"> <span class="_0 blank"></span><span class="ws74">(s<span class="_5 blank"> </span>oma<span class="_1 blank"></span>mos 1 soldado, pois desse modo não deixar<span class="_1 blank"></span>emos </span></div><div class="t m0 x8 hc yf9 ff9 fs8 fc0 sc0 ls0 ws4">de con<span class="_1 blank"></span>tar o primeiro soldado); </div><div class="c x30 yfa w6 h18"><div class="t m0 x0 he yfb ffb fs8 fc0 sc0 ls65">NN</div></div><div class="t m0 x31 h26 yfc ff21 fs8 fc0 sc0 ls66 ws4e">\ue01f\ue01e<span class="_10 blank"></span><span class="ls67">\ue01d\ue01f</span></div><div class="t m0 x32 hc yfd ff9 fs8 fc0 sc0 ls1">170</div><div class="c x30 yfa w6 h18"><div class="t m0 x14 hc yfe ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x33 hc yfc ff9 fs8 fc0 sc0 ls68 ws4f">18<span class="_11 blank"></span><span class="ls69 ws50">6s<span class="_9 blank"></span><span class="ls4 ws13">oldado<span class="ls2d">s.</span></span></span></div><div class="t m0 x8 hc yff ff11 fs8 fc1 sc0 ls0 ws4"> 10 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">FUVES<span class="_1 blank"></span>T<span class="ls0">)<span class="ff9 ws4"> </span><span class="ws4">L<span class="_5 blank"> </span>etra E.</span></span></span></span></span></div><div class="t m0 x8 hc y100 ff9 fs8 fc0 sc0 ls6a wse">Se o carro e o primeiro ca<span class="_1 blank"></span>minhão se movem no mesmo sen<span class="_1 blank"></span>tido com </div><div class="t m0 x8 hc y101 ff9 fs8 fc0 sc0 ls2e ws40">velocidades respectivamen<span class="_1 blank"></span>te iguais a 50 km/h e 40 km/h, temos que </div><div class="t m0 x8 hc y102 ff9 fs8 fc0 sc0 ls39 wse">o primeiro ca<span class="_1 blank"></span>minhão se apro<span class="_1 blank"></span>xima do carro com um<span class="_1 blank"></span>a velocidade de </div><div class="t m0 x8 hc y103 ff9 fs8 fc0 sc0 ls0 ws39">10 km/h. Como o enunciado diz q<span class="_1 blank"></span>ue o outro caminhão tam<span class="_1 blank"></span>bém se </div><div class="t m0 x8 hc y104 ff9 fs8 fc0 sc0 ls0 ws77">ap<span class="_1 blank"></span>roxima co<span class="_1 blank"></span>m a mesma velocidade, isso signi\ue01fca que ele está no </div><div class="t m0 x8 hc y105 ff9 fs8 fc0 sc0 ls0 ws4">mesmo sentido e é 10 km/h mais len<span class="_1 blank"></span>to<span class="_1 blank"></span>.</div><div class="t m0 x8 hc y106 ff11 fs8 fc1 sc0 ls0 ws4"> 11 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UNES<span class="_1 blank"></span>P<span class="ls0 ws4">) L<span class="_5 blank"> </span>etra C.</span></span></span></span></div><div class="t m0 x8 hc y107 ff9 fs8 fc0 sc0 ls3 ws32">A com<span class="_1 blank"></span>ponente ho<span class="_1 blank"></span>rizontal da velocidade da somb<span class="_1 blank"></span>ra da bola é </div><div class="t m0 x8 hc y108 ff9 fs8 fc0 sc0 ls21 ws8">cons<span class="_1 blank"></span>tante, bem com<span class="_1 blank"></span>o a inclinação da ram<span class="_1 blank"></span>pa. Assim, a somb<span class="_1 blank"></span>ra </div><div class="t m0 x8 hc y109 ff9 fs8 fc0 sc0 ls0 ws4b">sobe em movimen<span class="_1 blank"></span>to retilíneo uniforme e com v<span class="_1 blank"></span>elocidade maior </div><div class="t m0 x8 hc y10a ff9 fs8 fc0 sc0 ls0 ws4">que a da bola.</div><div class="t m0 x8 hc y10b ff11 fs8 fc1 sc0 ls0 ws4"> 12 <span class="ff9 fc0"> <span class="ff11">(UECE) Letra D.</span> </span></div><div class="t m0 x8 h1b y10c ffb fs8 fc0 sc0 ls0 ws13">v<span class="fsc ws19 v2">M</span><span class="ff9 ws2e v0"> = <span class="ff12 ws21">\u0394<span class="ffb">s</span></span><span class="ws1f">/<span class="ff12 ws21">\u0394<span class="ffb">t</span></span></span> = (12 + 20 + 4) km/(10 + 15 + 5) min = 36 km/30 min </span></div><div class="t m0 x8 hc y10d ff9 fs8 fc0 sc0 ls0 ws4">= 36 km/0,5 h = 72 km/h.</div><div class="t m0 xa h13 y10e ff10 fsb fc3 sc0 ls29 ws23">Exercícios de apr<span class="_1 blank"></span>ofundam<span class="_1 blank"></span>ento</div><div class="t m0 xa hc y10f ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> </span></div><div class="c xa y110 w7 h27"><div class="t m0 x2d h1d y111 ff22 fsd fc0 sc0 ls0">L</div></div><div class="t m0 x34 h1d y112 ff22 fsd fc0 sc0 ls48">t<span class="ff23 ls0">0</span></div><div class="t m0 x35 h1d y113 ff22 fsd fc0 sc0 ls49">p<span class="ls0 v8">t</span></div><div class="t m0 x36 h1d y114 ff22 fsd fc0 sc0 ls0">A</div><div class="t m0 x37 h1d y115 ff22 fsd fc0 sc0 ls0 ws4">H </div><div class="t m1 x38 h1d y116 ff22 fsd fc0 sc0 ls6b">\u2013h</div><div class="t m0 x22 h1d y117 ff22 fsd fc0 sc0 ls0">v<span class="ff23">·</span></div><div class="c xa y110 w7 h27"><div class="t m0 x0 h1d y118 ff22 fsd fc0 sc0 ls0">H</div></div><div class="t m0 x36 h28 y119 ff22 fsd fc0 sc0 ls4a">h<span class="ls4b v9">v</span><span class="ls0 va">B</span></div><div class="t m0 x39 h29 y11a ff22 fsd fc0 sc0 ls4c">E<span class="ls0 vb">C</span></div><div class="t m0 x3a h2a y11b ff22 fsd fc0 sc0 ls4d">t<span class="ls0 v6">v</span></div><div class="c xa y110 w7 h27"><div class="t m0 x1c h2b y11c ff22 fsf fc0 sc0 ls0">E</div></div><div class="t m0 x3b h1d y11d ff23 fsd fc0 sc0 ls0">·<span class="ff22">t</span></div><div class="t m1 x22 h1d y112 ff22 fsd fc0 sc0 ls0">\u2013</div><div class="t m0 xa hc y11e ff9 fs8 fc0 sc0 ls0 ws4">Da semelhança dos triângulos <span class="ffb ws51">LAB</span> e <span class="ffb">LEC</span>, temos</div><div class="t m0 x3c he y11f ffb fs8 fc0 sc0 ls0">H</div><div class="t m0 x3d he y120 ffb fs8 fc0 sc0 ls1">EC</div><div class="c xa y121 w8 h2c"><div class="t m0 x13 he y122 ffb fs8 fc0 sc0 ls6c">Hh</div></div><div class="t m0 x3e he y123 ffb fs8 fc0 sc0 ls6d">AB</div><div class="t m0 x3f he y124 ffb fs8 fc0 sc0 ls0">H</div><div class="t m0 x40 he y123 ffb fs8 fc0 sc0 ls6e">vt</div><div class="c xa y121 w8 h2c"><div class="t m0 x2f he y122 ffb fs8 fc0 sc0 ls6c">Hh</div></div><div class="t m0 x41 h2d y123 ffb fs8 fc0 sc0 ls1 ws52">vt <span class="ls4e v7">v</span><span class="ls0 vc">H</span></div><div class="t m0 x42 he y125 ffb fs8 fc0 sc0 ls6c">Hh</div><div class="t m0 x43 he y126 ffb fs8 fc0 sc0 ls0">V</div><div class="t m0 x44 h2e y127 ffb fs10 fc0 sc0 ls0">E</div><div class="t m0 x45 h2e y128 ffb fs10 fc0 sc0 ls0">E</div><div class="t m0 x46 h26 y129 ff24 fs8 fc0 sc0 ls0">\ue01f</div><div class="c xa y121 w8 h2c"><div class="t m0 x1b h26 y122 ff24 fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x47 h26 y129 ff24 fs8 fc0 sc0 ls6f">\ue01d\ue01f</div><div class="c xa y121 w8 h2c"><div class="t m0 x28 h26 y122 ff24 fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x21 h26 y129 ff24 fs8 fc0 sc0 ls70">\ue01d\ue01f</div><div class="t m0 x48 h2f y12a ff24 fs8 fc0 sc0 ls4f">\ue01e<span class="ls50 v7">\ue01c<span class="ff9 ls0">.</span></span></div><div class="t m0 xa hc y12b ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0 ws34"> <span class="_0 blank"></span>As velocidades das velas podem ser escritas como <span class="ffb ws13">V<span class="fsc ws19 v2">1</span></span> = <span class="ffb">L</span>/3 e </span></div><div class="t m0 xa hc y12c ffb fs8 fc0 sc0 ls0 ws13">V<span class="fsc ws19 v2">2</span><span class="ff9 ws4"> = </span>L<span class="ff9">/4</span></div><div class="t m0 xa hc y12d ff9 fs8 fc0 sc0 ls51 ws32">O com<span class="_1 blank"></span>primento da ve<span class="_1 blank"></span>la em função do tempo pode s<span class="_5 blank"> </span>er escrito </div><div class="t m0 xa hc y12e ff9 fs8 fc0 sc0 ls0 ws4">como <span class="ffb">L</span> \u2013 <span class="ffb ls71 ws53">Vt </span>.</div><div class="t m0 xa h14 y12f ff9 fs8 fc0 sc0 ls0 ws4">Assim, <span class="_1 blank"></span><span class="ffb ws13">C<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws3c"> = 2</span><span class="ls52">C</span><span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4"> <span class="ff12">\u2192</span> <span class="_1 blank"></span><span class="ffb">L<span class="ff9 ws3c"> \u2013 </span><span class="ws13">V<span class="ff9 fsc lsc v2">2</span>t<span class="ff9 ws3c"> = 2(</span>L<span class="ff9 ws3c"> \u2013 </span><span class="ls53">V</span><span class="fsc ws19 v2">1</span>t</span><span class="ff9">) <span class="ff12">\u2192</span></span><span class="ws3c"> L </span><span class="ff9">\u2013 </span>Lt<span class="ff9 ws3c">/4 = 2</span>L<span class="ff9 ws3c"> \u2013 2</span>Lt<span class="ff9">/3 <span class="_1 blank"></span><span class="ff12">\u2192<span class="ff9"> <span class="_e blank"></span> </span></span></span></span></span></span></div><div class="t m0 xa h14 y130 ff9 fs8 fc0 sc0 ls0 ws7d">1 \u2013 <span class="ffb">t</span>/4 = 2 \u2013 2<span class="ffb">t</span><span class="ws4">/3 <span class="_5 blank"> </span><span class="ff12">\u2192</span></span> 2<span class="ffb">t</span>/3 \u2013 t/4 = 1 <span class="ff12">\u2192</span> 8<span class="ffb">t</span> \u2013 3<span class="ffb">t</span> = 12 <span class="ff12">\u2192<span class="ffb"> t </span></span>= 12/5 <span class="ff12">\u2192<span class="ffb ws4"> <span class="_e blank"></span> </span></span></div><div class="t m0 xa h14 y131 ffb fs8 fc0 sc0 ls0 ws4">t <span class="ff9">= 2,4 h <span class="ff12">\u2192</span></span> t <span class="ff9">= 2 h 24 min.</span></div><div class="t m0 xa hc y132 ff9 fs8 fc0 sc0 ls72 ws8">Pa<span class="_1 blank"></span>ra que isso acon<span class="_1 blank"></span>teça às 16h, as velas devem ser acesas às<span class="_1 blank"></span> <span class="_d blank"></span><span class="ls0 ws4"> </span></div><div class="t m0 xa hc y133 ff9 fs8 fc0 sc0 ls0 ws4">16 \u2013 2,4 = 13,6 h = 13h36min.</div><div class="t m0 xc ha y134 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 7</div><div class="t m0 xa h13 y135 ff10 fsb fc3 sc0 ls29 ws23">Exercícios concei<span class="_1 blank"></span>tuais</div><div class="t m0 xa hc y136 ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFRJ<span class="ls0">)</span></span></span></span></div><div class="t m0 xa hc y137 ff9 fs8 fc0 sc0 ls0 ws4">a. <span class="_7 blank"> </span>Da de\ue01fnição de aceleração escal<span class="_5 blank"> </span>ar média:</div><div class="c xa y138 w9 h15"><div class="t m0 x0 h22 y139 ff25 fs8 fc0 sc0 ls54">a<span class="ls0 v4">v</span></div><div class="t m0 x49 h30 y13a ff25 fs8 fc0 sc0 ls55">t<span class="ls73 v7">tt</span></div></div><div class="t m0 x3c h31 y13b ff25 fs10 fc0 sc0 ls56">m<span class="ff26 fs8 ls63 ws54 vd">=\u2192<span class="_e blank"></span><span class="ls74 ws55">=\u2192<span class="_3 blank"></span><span class="ls0">=</span></span></span></div><div class="c xa y138 w9 h15"><div class="t m0 x2e h26 y66 ff26 fs8 fc0 sc0 ls0">\u2206</div></div><div class="t m0 x4a h32 y13c ff26 fs8 fc0 sc0 ls57">\u2206<span class="ls75 v7">\u2206\u2206</span></div><div class="c xa y138 w9 h15"><div class="t m0 x4b hd y66 ff27 fs8 fc0 sc0 ls1">80</div><div class="t m0 x4 hd y67 ff27 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x35 hd y13d ff27 fs8 fc0 sc0 ls1 ws56">40 <span class="ls0">s.</span></div><div class="t m0 xa hc y13e ff9 fs8 fc0 sc0 ls0 ws4">b<span class="_1 blank"></span>. <span class="_7 blank"> </span>Da equação de T<span class="_3 blank"></span>orricelli:</div><div class="t m0 x4c h26 y13f ff28 fs8 fc0 sc0 ls76 ws57">\ue01f\ue01f <span class="ls77 ws58">\ue01e\ue01d<span class="_12 blank"></span><span class="ls78">\ue01c\ue01c</span></span></div><div class="c xa y140 wa h33"><div class="t m0 x0 he y141 ff29 fs8 fc0 sc0 ls2c">vv</div></div><div class="t m0 x4d he y13f ff29 fs8 fc0 sc0 ls79 ws59">as <span class="ls0">s</span></div><div class="t m0 x4e h2e y142 ff29 fs10 fc0 sc0 ls0">m</div><div class="t m0 x3c h34 y143 ff2a fs10 fc0 sc0 ls0">2</div><div class="t m0 x4f h34 y142 ff2a fs10 fc0 sc0 ls0">0</div><div class="t m0 x50 h34 y143 ff2a fs10 fc0 sc0 ls0">2</div><div class="c xa y140 wa h33"><div class="t m0 x6 h34 y144 ff2a fs10 fc0 sc0 ls0">2</div></div><div class="t m0 x51 h35 y13f ff2a fs8 fc0 sc0 ls58">2<span class="ls1 v4">80</span></div><div class="c xa y140 wa h33"><div class="t m0 x2 hd y145 ff2a fs8 fc0 sc0 ls0">4</div></div><div class="t m0 x52 h26 y13f ff2a fs8 fc0 sc0 ls59">1<span class="ls1 ws5a">600<span class="_13 blank"></span><span class="ff28 ls7a ws5b">\ue01d\ue01b <span class="ls7b ws5c">\ue01e\ue01d<span class="_14 blank"></span><span class="ls0">\ue01c</span></span></span></span></div><div class="c xa y140 wa h33"><div class="t m0 x53 hd y141 ff2a fs8 fc0 sc0 ls7c ws5d">sm<span class="_15 blank"></span><span class="ls7d">..</span></div></div><div class="t m0 xa hc y146 ff9 fs8 fc0 sc0 ls0 ws44">A pista deve ter co<span class="_1 blank"></span>mprimen<span class="_1 blank"></span>to mínimo igual à distância percorrida </div><div class="t m0 xa hc y147 ff9 fs8 fc0 sc0 ls0 ws4">pelo avião na decolagem, q<span class="_1 blank"></span>ue vale <span class="ffb">D</span> = 1.600 m.</div><div class="t m0 xa hc y148 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0"> <span class="ff11">(UNIFES<span class="_1 blank"></span>P) L<span class="_5 blank"> </span>etra A.</span></span></div><div class="t m0 xa hc y149 ff9 fs8 fc0 sc0 ls0 ws4">252 km/h = 70 m/s.</div><div class="t m0 xa hc y14a ff9 fs8 fc0 sc0 ls7e ws82">P<span class="_1 blank"></span>or T<span class="_3 blank"></span>orricelli, <span class="ffb ls0">v</span></div><div class="t m0 x54 h36 y14b ff9 fsc fc0 sc0 ls0">2</div><div class="t m0 x55 hc y14a ff9 fs8 fc0 sc0 ls7e ws82"> = <span class="ffb ls0">v</span></div><div class="t m0 x56 h36 y14c ff9 fsc fc0 sc0 ls0">0</div><div class="t m0 x56 h36 y14d ff9 fsc fc0 sc0 ls0">2</div><div class="t m0 x57 h14 y14a ff9 fs8 fc0 sc0 ls7e ws82"> + 2 · <span class="ffb ls7f">a · <span class="ff12 ls0 ws21">\u0394<span class="ffb ws13">s<span class="_1 blank"></span><span class="ff9 ws4"> <span class="_3 blank"></span><span class="ff12 ws21">\u21d2<span class="ff9 ls7e ws82"> 70<span class="fsc ls0 v3">2</span></span></span></span></span></span></span></div><div class="t m0 x45 h14 y14a ff9 fs8 fc0 sc0 ls7e ws82"> = 2 · <span class="ffb ls0 ws13">a</span> · 1.960 <span class="ff12 ls0 ws21">\u21d2<span class="_0 blank"></span><span class="ff9 ls7e ws82"> 4.900 = 3.920 · <span class="ffb ls0 ws13">a<span class="ff9 ws4"> <span class="_3 blank"></span><span class="ff12">\u21d2<span class="ff9"> <span class="_e blank"></span> </span></span></span></span></span></span></div><div class="t m0 xa h14 y14e ff12 fs8 fc0 sc0 ls0 ws4">\u21d2 <span class="ffb">a<span class="ff9"> = 1,25 m/s<span class="fsc ws14 v3">2</span>.</span></span></div><div class="t m0 xa hc y14f ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFPR<span class="_1 blank"></span><span class="ls0 ws4">) L<span class="_5 blank"> </span>etra A.</span></span></span></span></div><div class="t m0 xa hc y150 ff9 fs8 fc0 sc0 ls0 ws4">Dados: <span class="ffb ws13">v</span><span class="fsc lsc v2">0</span> = 108 km/h = 30 m/s; <span class="ffb">a</span> = \u20135 m/s<span class="fsc ws14 v3">2</span>.</div><div class="t m0 xa h14 y151 ff9 fs8 fc0 sc0 ls2e wse">Calcu<span class="_5 blank"> </span>lando o tem<span class="_1 blank"></span>po de frenagem: <span class="ffb">v = v</span><span class="fsc ls0 ws14 v2">0</span> + <span class="ffb ls80 ws83">at <span class="_0 blank"></span><span class="ff12 ls0 ws21">\u21d2<span class="ff9 ls2e wse"> 0 = 30 \u2013 5<span class="ffb ws84">t <span class="_1 blank"></span><span class="ff12 ls0 ws21">\u21d2<span class="ffb ls2e wse"> t <span class="ff9">= 6 s.</span></span></span></span></span></span></span></div><div class="t m0 xa hc y152 ff9 fs8 fc0 sc0 ls0 ws85">Calcul<span class="_5 blank"> </span>ando a distâ<span class="_1 blank"></span>ncia de frenagem: <span class="ffb ls5a">v</span><span class="fsc ws14 v3">2</span> = <span class="ffb ls5b">v</span><span class="fsc v2">0</span></div><div class="t m0 x58 h37 y153 ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ws85 v2"> + 2 · <span class="ffb">a</span> · <span class="ff12 ws21">\u0394<span class="ffb">s</span></span><span class="ws4"> <span class="ff12">\u21d2</span></span> 0 = 30</span><span class="v0">2<span class="fs8 ws85 v2"> + <span class="_e blank"></span><span class="ws4"> </span></span></span></div><div class="t m0 xa h14 y154 ff9 fs8 fc0 sc0 ls0 ws4">+2 (\u20135)<span class="ff12 ws21">\u0394<span class="ffb">s</span></span> <span class="ff12">\u21d2</span> 10 <span class="ff12 ws21">\u0394<span class="ffb">s</span></span> = 900 <span class="ff12">\u21d2</span> <span class="ff12 ws21">\u0394<span class="ffb">S</span></span> = 90 m.</div><div class="t m0 xa hc y155 ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11 ls1">(<span class="ws2d">UFPE <span class="_0 blank"></span><span class="ls39 ws24">\u2013 adaptada)<span class="ff9 wse"> P<span class="_1 blank"></span>ara a determinação da velocidade média, </span></span></span></span></span></div><div class="t m0 xa hc y156 ff9 fs8 fc0 sc0 ls0 ws4">primeiro va<span class="_1 blank"></span>mos calcul<span class="_5 blank"> </span>ar as posições nos instan<span class="_1 blank"></span>tes mencionados:</div><div class="t m0 x3c h38 y157 ff2b fs11 fc0 sc0 ls81">mm</div><div class="t m0 xa h39 y158 ff2b fs12 fc0 sc0 ls82 ws5e">xt <span class="ls83">tt</span></div><div class="t m0 x35 h3a y159 ff2b fs12 fc0 sc0 ls0">x<span class="ff2c ws4">(1) = \u201310,0 + 2,0(1) + 3,0(1) = \u20135 </span></div><div class="c xa y15a wb h3b"><div class="t m0 x59 h3a y15b ff2c fs12 fc0 sc0 ls0">m</div></div><div class="t m0 x35 h3a y15c ff2b fs12 fc0 sc0 ls0">x<span class="ff2c ws4">(2) = \u201310,0 + 2,0(2) + 3,0(2) = 6 m</span></div><div class="t m0 x3c h3c y15d ff2c fs12 fc0 sc0 ls84 ws5f">() <span class="ls85 ws60">,, <span class="ls0 ws61">,<span class="_16 blank"></span><span class="ff2d ls86 ws62">\ue01f\ue01e <span class="ls87 ws63">\ue01d\ue01d<span class="_17 blank"></span><span class="ff2c ls88 ws64">10 <span class="ls89 ws65">02<span class="_18 blank"></span><span class="ls8a ws66">03<span class="_19 blank"></span><span class="ls5c">0<span class="fs11 ls5d ve">2</span><span class="ls0 ws4 v0"> </span></span></span></span></span></span></span></span></span></div><div class="t m0 x5a h3a y15e ff2c fs12 fc0 sc0 ls8b">65</div><div class="c xa y15a wb h3b"><div class="t m0 x12 h3a y15f ff2c fs12 fc0 sc0 ls8c">21</div></div><div class="t m0 x5b h3a y160 ff2c fs12 fc0 sc0 ls88">11</div><div class="t m0 x36 h3d y161 ff2d fs12 fc0 sc0 ls0">\ue01c</div><div class="t m0 x36 h3d y162 ff2d fs12 fc0 sc0 ls0">\ue01b</div><div class="t m0 x36 h3d y163 ff2d fs12 fc0 sc0 ls0">\ue01a</div><div class="t m0 x36 h3d y164 ff2d fs12 fc0 sc0 ls0">\ue019</div><div class="t m0 x36 h3d y165 ff2d fs12 fc0 sc0 ls0">\ue01a</div><div class="t m0 x37 h3d y160 ff2d fs12 fc0 sc0 ls8d">\ue01f\ue01f</div><div class="t m0 x5c h3d y166 ff2d fs12 fc0 sc0 ls8e">\ue01e\ue01e</div><div class="t m2 x5d h3e y167 ff2d fs13 fc0 sc0 ls8f">\ue018\ue017</div><div class="t m0 x5d h3f y168 ff2d fs12 fc0 sc0 ls5e">\ue01e<span class="ls90 ws67 v7">\ue016\ue01f<span class="_1a blank"></span><span class="ff2c ls0 ws8e"> <span class="_1b blank"> </span><span class="ls5f ws4"> <span class="ff2b ls60">v</span><span class="ls91">m/</span></span></span></span></div><div class="c xa y15a wb h3b"><div class="t m0 x0 h39 y169 ff2b fs12 fc0 sc0 ls0">v</div></div><div class="t m0 x5e h39 y16a ff2b fs12 fc0 sc0 ls0">x</div><div class="c xa y15a wb h3b"><div class="t m0 x49 h39 y15f ff2b fs12 fc0 sc0 ls0">t</div></div><div class="t m0 x38 h3d y16a ff2d fs12 fc0 sc0 ls0">\ue015</div><div class="t m0 x4a h40 y16b ff2d fs12 fc0 sc0 ls61">\ue015<span class="ff2c ls0 ws4 v7"> <span class="_e blank"></span> </span></div><div class="t m0 x23 h41 y16c ff2c fs11 fc0 sc0 ls0">2</div><div class="t m0 x23 h41 y16d ff2c fs11 fc0 sc0 ls0">2</div><div class="t m0 x5f h3a y160 ff2c fs12 fc0 sc0 ls92">s.</div><div class="t m0 xa hc y16e ff9 fs8 fc0 sc0 ls6a ws40">Pa<span class="_1 blank"></span>ra calc<span class="_5 blank"> </span>ular a velocidade no instan<span class="_1 blank"></span>te<span class="ffb wse"> t </span>= 5 s, vamos p<span class="_1 blank"></span>rimeiro retirar </div><div class="t m0 xa hc y16f ff9 fs8 fc0 sc0 ls2d ws40">da equação a velocidade inicial e a aceleração, <span class="ffb ls0 ws13">v<span class="ff9 fsc ws14 v2">0<span class="_1 blank"></span><span class="fs8 ls2d ws40 v3"> = 2 m/s e <span class="ffb ls0 ws13">a</span> = 6 m/s<span class="fsc ls0 ws14 v3">2</span><span class="ls0">.</span></span></span></span></div><div class="t m0 xa h14 y170 ff9 fs8 fc0 sc0 ls36 wse">Substi<span class="_1 blank"></span>tuindo na equação horária de ve<span class="_1 blank"></span>locid<span class="_5 blank"> </span>ade, temos <span class="ffb ls0 ws13">v<span class="ff9 fsc ws14 v2">5</span></span> = <span class="ffb ls0 ws13">v<span class="_1 blank"></span><span class="ff9 fsc ws14 v2">0<span class="fs8 ls36 wse v3"> + <span class="ffb ls93 ws90">at<span class="_5 blank"> </span> <span class="_0 blank"></span><span class="ff12 ls0">\u21d2<span class="ffb ws4"> <span class="_e blank"></span> </span></span></span></span></span></span></div><div class="t m0 xa h14 y171 ff12 fs8 fc0 sc0 ls0">\u21d2<span class="ffb ws4"> v<span class="ff9 fsc lsc v2">5</span> <span class="ff9">= 2 + 6 · 5 </span></span>\u21d2<span class="ff9 ws4"> </span><span class="ffb ws13">v</span><span class="ff9 fsc ws14 v2">5</span><span class="ff9 ws4"> = 32 m/s.</span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf6" class="pf w0 h0" data-page-no="6"><div class="pc pc6 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg6.png"><div class="t m0 x49 h11 y4a ffe fs6 fc1 sc0 ls0">6</div><div class="t m0 x2d h12 y4b ff2e fsa fc3 sc0 ls0 ws4">1ª Série</div><div class="t m0 x60 h11 yc6 ff2f fs6 fc4 sc0 ls3a ws68">LIVRO DO<span class="_1 blank"></span> PROFESSOR</div><div class="t m0 x60 h20 yc7 ff30 fse fc3 sc0 ls0 ws4">Física I</div><div class="t m0 x10 hc yc8 ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0"> <span class="ff11 ws91">(UNI<span class="_1 blank"></span>CAMP)</span></span></div><div class="t m0 x10 hc yc9 ff9 fs8 fc0 sc0 ls0 ws4">a. <span class="_7 blank"> </span>A distância percorrida pelo avião é</div><div class="t m0 x10 h42 y172 ff9 fs8 fc0 sc0 ls94 ws4"> <span class="ff31 lsa7 v6">\ue01f\ue01e</span></div><div class="c x11 y173 wc h43"><div class="t m0 x0 h22 y174 ff32 fs8 fc0 sc0 ls95">v<span class="ls0 v4">s</span></div><div class="t m0 x2e he y175 ff32 fs8 fc0 sc0 ls0">t</div><div class="t m0 x61 he y176 ff32 fs8 fc0 sc0 ls0">s</div></div><div class="t m0 x62 h26 y177 ff32 fs8 fc0 sc0 ls0 wsc">s<span class="_1c blank"></span><span class="ff31 lsa7 ws92">\ue01f\ue01e <span class="lsa8 ws93">\ue01f\ue01d<span class="_1d blank"></span><span class="ls0">\ue01f</span></span></span></div><div class="c x11 y173 wc h43"><div class="t m0 x29 h26 y178 ff31 fs8 fc0 sc0 ls0">\ue01c</div></div><div class="t m0 x60 h26 y179 ff31 fs8 fc0 sc0 ls0">\ue01c</div><div class="c x11 y173 wc h43"><div class="t m0 x63 h26 y178 ff31 fs8 fc0 sc0 ls0">\ue01c</div></div><div class="t m0 x64 h26 y177 ff31 fs8 fc0 sc0 ls0 wsc">\ue01c<span class="_1e blank"></span><span class="ff33 ls1">800</span></div><div class="c x11 y173 wc h43"><div class="t m0 x63 hd y17a ff33 fs8 fc0 sc0 ls1">24</div></div><div class="t m0 x65 hd y177 ff33 fs8 fc0 sc0 ls1 ws94">800<span class="_1f blank"> </span>24<span class="_20 blank"> </span>19 200</div><div class="c x11 y173 wc h43"><div class="t m0 x66 hd y174 ff33 fs8 fc0 sc0 lsa9">.k</div></div><div class="t m0 x67 hd y177 ff33 fs8 fc0 sc0 ls36">m.</div><div class="t m0 x10 hc y17b ff9 fs8 fc0 sc0 lsaa ws32"> <span class="_21 blank"> </span>A distância percorrida pelo navio é o do<span class="_1 blank"></span>bro da distância<span class="_1 blank"></span> </div><div class="t m0 x11 hc y17c ff9 fs8 fc0 sc0 ls0 ws4">percorrida pelo avião<span class="_1 blank"></span>, ou seja, 19.200 · 2 = 38.400 km.</div><div class="t m0 x10 hc y17d ff9 fs8 fc0 sc0 ls0 ws4"> <span class="_22 blank"> </span>A velocidade média do navio é</div><div class="t m0 x10 hc y17e ff9 fs8 fc0 sc0 ls0 wsc4"> </div><div class="c x68 y17f wd h43"><div class="t m0 x0 h22 y180 ff34 fs8 fc0 sc0 ls41">v<span class="ls0 v4">s</span></div><div class="t m0 x2e he y181 ff34 fs8 fc0 sc0 ls0">t</div></div><div class="t m0 x69 h26 y182 ff35 fs8 fc0 sc0 lsab">\ue01f\ue01f</div><div class="t m0 x1 h32 y183 ff35 fs8 fc0 sc0 ls96">\ue01e<span class="lsac v7">\ue01f\ue01f</span></div><div class="c x68 y17f wd h43"><div class="t m0 x29 h26 y184 ff35 fs8 fc0 sc0 ls0">\ue01d</div></div><div class="t m0 x6a h26 y185 ff35 fs8 fc0 sc0 ls0">\ue01d</div><div class="c x68 y17f wd h43"><div class="t m0 x1b hd y184 ff36 fs8 fc0 sc0 ls1 ws95">38 400</div><div class="t m0 x6b hd y186 ff36 fs8 fc0 sc0 ls1 ws96">50 24</div><div class="t m0 x2a hd y184 ff36 fs8 fc0 sc0 ls1 ws94">38 400</div><div class="t m0 x6c hd y186 ff36 fs8 fc0 sc0 ls97">1<span class="ls1">200</span></div></div><div class="t m0 x66 hd y182 ff36 fs8 fc0 sc0 ls1">32</div><div class="c x68 y17f wd h43"><div class="t m0 x68 hd y184 ff36 fs8 fc0 sc0 lsad">..</div><div class="t m0 x6d hd y186 ff36 fs8 fc0 sc0 ls0">.</div></div><div class="t m0 x6e hd y182 ff36 fs8 fc0 sc0 ls1 ws5a">km<span class="ls2e">/h</span></div><div class="c x68 y17f wd h43"><div class="t m0 x6f hd y180 ff36 fs8 fc0 sc0 ls0">.</div></div><div class="t m0 x10 h14 y187 ff9 fs8 fc0 sc0 ls0 ws4">b<span class="_1 blank"></span>. <span class="_7 blank"> </span>P<span class="_0 blank"></span>ela função horária de Galileu <span class="ff12">\u2192<span class="ffb"> s = s</span></span><span class="fsc ws14 v2">0</span> + <span class="ffb ws13">v</span><span class="fsc lsc v2">0</span> ·<span class="ffb"> t </span>+ <span class="ffb ls2a ws97">at </span><span class="fsc lsc v3">2</span>/2.</div><div class="t m0 x10 hc y188 ff9 fs8 fc0 sc0 ls0 ws39"> <span class="_1b blank"> </span>Considerando q<span class="_1 blank"></span>ue <span class="ffb ws13">s</span><span class="fsc lsc v2">0</span> = 0;<span class="ffb"> s </span>= 800 km = 800.000 m; <span class="ffb ls98">v</span><span class="fsc lsc v2">0</span> = 0 (parte </div><div class="t m0 x11 hc y189 ff9 fs8 fc0 sc0 ls0 ws4">do repouso); <span class="ffb">a</span> = 10 m/s<span class="fsc lsc v3">2</span>.</div><div class="t m0 x10 h14 y18a ff9 fs8 fc0 sc0 ls99 ws4"> <span class="ffb ls0 wsc8">s = s</span><span class="fsc lsc v2">0</span><span class="ls0 wsc9"> + <span class="ffb ls9a">v</span><span class="fsc ws14 v2">0</span> ·<span class="ffb wsc8"> t </span><span class="ws4">+ <span class="_a blank"> </span><span class="ffb ls2a ws98">at </span><span class="fsc ws14 v3">2</span>/2 <span class="_a blank"> </span><span class="ff12">\u21d2</span></span> 800.000 = 10<span class="ffb ls9a">t</span><span class="fsc lsc v3">2</span><span class="ws4">/2 <span class="_a blank"> </span><span class="ff12">\u21d2</span></span> 160.000 = <span class="ffb ls9b">t</span><span class="fsc ws14 v3">2</span></span><span class="ls9c"> <span class="ff12 ls0">\u2192 </span></span></div><div class="t m0 x11 hc y18b ffb fs8 fc0 sc0 ls0 ws4">t <span class="ff9">= 400</span> <span class="ff9">s</span> <span class="ff9">= 6 min 40 s.</span></div><div class="t m0 x10 h13 y18c ff10 fsb fc3 sc0 ls29 ws23">Exercícios con<span class="_1 blank"></span>textuali<span class="_1 blank"></span>z<span class="_5 blank"> </span>ados</div><div class="t m0 x10 hc y18d ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFR<span class="_1 blank"></span>GS<span class="ls0">)<span class="ff9 ws4"> </span><span class="ws4">L<span class="_5 blank"> </span>etra C.</span></span></span></span></span></div><div class="t m0 x10 hc y18e ff9 fs8 fc0 sc0 ls0 ws4">U<span class="_1 blank"></span>tilizando a equação de T<span class="_3 blank"></span>orricelli, temos</div><div class="t m0 x10 hc y18f ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 fsc lsc v3">2</span><span class="ff9 ws4"> = </span>v<span class="ff9 fsc v2">0</span></div><div class="t m0 x69 h37 y190 ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ws4 v2"> + 2 · <span class="ffb">a · <span class="ff12 ws21">\u0394</span>s</span></span></div><div class="t m0 x10 hc y191 ff9 fs8 fc0 sc0 ls0 ws1f">0<span class="fsc ws14 v3">2</span><span class="ws4"> = 15<span class="fsc ws14 v3">2</span> + 2(\u20137,5) · <span class="ffb ws13">d<span class="fsc v2">F</span></span></span></div><div class="t m0 x10 hc y192 ff9 fs8 fc0 sc0 ls0">15<span class="ffb ws13">d<span class="fsc ws19 v2">F</span></span><span class="ws4"> = 15<span class="fsc v3">2</span></span></div><div class="t m0 x10 hc y193 ffb fs8 fc0 sc0 ls0 ws13">d<span class="fsc ws19 v2">F</span><span class="ff9 ws4"> = 15 m.</span></div><div class="t m0 x10 h44 y194 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="fc0 ls62 wsca"> L<span class="_a blank"> </span>et<span class="_5 blank"> </span>r<span class="_5 blank"> </span>a<span class="_5 blank"> </span> <span class="_5 blank"> </span>D.</span></div><div class="t m0 x10 hc y195 ff9 fs8 fc0 sc0 ls0 ws4">Obser<span class="_5 blank"> </span>ve o grá\ue01fco abaixo:</div><div class="t m3 x61 h45 y196 ff16 fsd fc0 sc0 ls0 ws4">velocidade (m/<span class="_3 blank"></span>s<span class="fsf ls9d vd">2</span>)</div><div class="t m0 x70 h1d y197 ff16 fsd fc0 sc0 ls0 ws1a">25<span class="_23 blank"></span>20<span class="_24 blank"></span>15<span class="_25 blank"></span>10<span class="_23 blank"></span>5<span class="_26 blank"></span>0</div><div class="t m0 x6c h1d y198 ff16 fsd fc0 sc0 ls0">100</div><div class="t m0 x71 h1d y199 ff16 fsd fc0 sc0 ls0">90</div><div class="t m0 x71 h1d y19a ff16 fsd fc0 sc0 ls0">80</div><div class="t m0 x71 h1d y19b ff16 fsd fc0 sc0 ls33">70</div><div class="t m0 x71 h1d y19c ff16 fsd fc0 sc0 ls0">60</div><div class="t m0 x71 h1d y19d ff16 fsd fc0 sc0 ls0">50</div><div class="t m0 x71 h1d y19e ff16 fsd fc0 sc0 ls0">40</div><div class="t m0 x72 h1d y19f ff16 fsd fc0 sc0 ls0 ws4">tempo (s<span class="_1 blank"></span>)</div><div class="t m0 x73 h1d y1a0 ff16 fsd fc0 sc0 ls0 ws4">aceleração </div><div class="t m0 x3 h1d y1a1 ff16 fsd fc0 sc0 ls0 ws4">positiva </div><div class="t m0 x64 h1d y1a2 ff16 fsd fc0 sc0 ls0 ws4">e maior</div><div class="t m0 x74 h1d y1a3 ff16 fsd fc0 sc0 ls0 ws4">aceleração nula</div><div class="t m0 x75 h1d y1a4 ff16 fsd fc0 sc0 ls0 ws4">aceleração </div><div class="t m0 xf h1d y1a5 ff16 fsd fc0 sc0 ls0 ws1a">negativa</div><div class="t m0 x4b h1d y1a6 ff16 fsd fc0 sc0 ls0 ws4">aceleração </div><div class="t m0 x4 h1d y1a7 ff16 fsd fc0 sc0 ls0 ws4">positiva e </div><div class="t m0 x61 h1d y1a8 ff16 fsd fc0 sc0 ls0">pequena</div><div class="t m0 x10 hc y1a9 ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFPR<span class="_1 blank"></span><span class="ls0 ws4">) L<span class="_5 blank"> </span>etra E.</span></span></span></span></div><div class="t m0 x10 hc y1aa ff9 fs8 fc0 sc0 ls0 ws4">A \ue01fgura a seguir ilustra a situação descrita (instan<span class="_1 blank"></span>te<span class="ffb"> t </span>= 0):</div><div class="t m0 x76 h1d y1ab ff16 fsd fc0 sc0 ls0 ws4">22 m/<span class="_3 blank"></span>s</div><div class="t m0 x10 h1d y1ac ff17 fsd fc0 sc0 ls0">F</div><div class="t m0 x77 h1d y1ad ff16 fsd fc0 sc0 ls0">0</div><div class="t m0 x78 h1d y1ab ff16 fsd fc0 sc0 ls0 ws4">22 m/<span class="_3 blank"></span>s</div><div class="t m0 x74 h1d y1ac ff17 fsd fc0 sc0 ls0">I</div><div class="t m0 x79 h1d y1ad ff16 fsd fc0 sc0 ls0">15</div><div class="t m0 x9 h45 y1ae ff16 fsd fc0 sc0 ls0 ws4">0,<span class="_1 blank"></span>4 m/<span class="_3 blank"></span>s<span class="fsf vd">2</span></div><div class="t m0 x10 h1d y1af ff16 fsd fc0 sc0 ls0 ws4">2<span class="_1 blank"></span>4 m/<span class="_0 blank"></span>s</div><div class="t m0 x10 h1d y1b0 ff17 fsd fc0 sc0 ls0">B</div><div class="t m0 x76 h46 y1b1 ff16 fsd fc0 sc0 ls9e">0<span class="ls0 ws99 v0">200 (m)</span></div><div class="t m0 x7a h1d y1b2 ff16 fsd fc0 sc0 ls0 ws9a">200 (m)</div><div class="t m0 x10 hc y1b3 ff9 fs8 fc0 sc0 ls2 ws32">O ciclista inglês (<span class="ffb ls22">I</span>) executa mo<span class="_1 blank"></span>vimento unifo<span class="_1 blank"></span>rme, e o ciclista </div><div class="t m0 x10 hc y1b4 ff9 fs8 fc0 sc0 ls34 wse">brasileiro (<span class="ffb ls0 ws13">B</span>) ex<span class="_1 blank"></span>ecuta moviment<span class="_1 blank"></span>o uniformemen<span class="_1 blank"></span>te variado. A pa<span class="_1 blank"></span>rt<span class="_5 blank"> </span>ir </div><div class="t m0 x10 hc y1b5 ff9 fs8 fc0 sc0 ls0 wscb">do instan<span class="_1 blank"></span>te mostrado (<span class="ffb">t</span> = 0), as respectivas funções horárias dos </div><div class="t m0 x10 hc y1b6 ff9 fs8 fc0 sc0 ls0 ws4">espaços são <span class="ffb lsae vf">st</span></div><div class="c x6c y1b7 we h18"><div class="t m0 x6d he y1b8 ffb fs8 fc0 sc0 lsaf">tt</div><div class="t m0 x7b h2e y1b9 ffb fs10 fc0 sc0 lsb0">IB</div></div><div class="t m0 x2f h26 y1ba ff37 fs8 fc0 sc0 lsb1 ws9b">\ue01f\ue01e <span class="ls0 wsc">\ue01e<span class="_27 blank"></span><span class="ff9 ls1 ws9c">15 22<span class="_28 blank"> </span>24</span></span></div><div class="c x6c y1b7 we h18"><div class="t m0 x7c hc y1bb ff9 fs8 fc0 sc0 lsb2">04</div><div class="t m0 x28 hc y1bc ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x7d h47 y1bd ff9 fs10 fc0 sc0 ls0">2</div><div class="t m0 x72 hc y1ba ff9 fs8 fc0 sc0 lsb3 ws9d">es <span class="ls0">=</span></div><div class="c x6c y1b7 we h18"><div class="t m0 x28 hc y1bb ff9 fs8 fc0 sc0 ls0">,</div></div><div class="t m0 x7e hc y1be ff9 fs8 fc0 sc0 ls0 ws4">. </div><div class="t m0 x10 hc y1bf ff9 fs8 fc0 sc0 ls0 ws4">I<span class="_1 blank"></span>gualando essas funções:</div><div class="t m0 x10 h14 y1c0 ff9 fs8 fc0 sc0 ls0">24<span class="ffb">t</span><span class="ws4"> + 0,2</span><span class="ffb ws13">t</span><span class="fsc ws14 v3">2</span><span class="ws4"> = 15 + 22<span class="ffb">t</span> <span class="ff12">\u21d2</span> 0,2</span><span class="ffb ws13">t</span><span class="fsc lsc v3">2</span><span class="ws4"> + 2<span class="ffb">t</span> \u2013 15 = 0. </span></div><div class="t m0 x10 hc y1c1 ff9 fs8 fc0 sc0 ls0 ws4">Resolvendo essa equação do segundo grau<span class="_1 blank"></span>, encontra<span class="_1 blank"></span>mos</div><div class="t m0 x10 hc y1c2 ffb fs8 fc0 sc0 ls0 ws13">t<span class="ff9 fsc lsc v2">1</span><span class="ff9 ws4"> = \u201315<span class="ffb"> </span>s<span class="ffb"> </span>e </span>t<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> = 5 s. </span></div><div class="t m0 x10 hc y1c3 ff9 fs8 fc0 sc0 ls2b ws28">C<span class="_5 blank"> </span>omo <span class="ffb ls9f">t</span><span class="fsc lsc v2">1</span><span class="ls0 ws4 v0"> = \u201315<span class="ffb"> </span>s<span class="ffb"> </span>não conv<span class="_1 blank"></span>ém,<span class="ffb"> t </span>= 5 s.</span></div><div class="t m0 x10 hc y1c4 ff9 fs8 fc0 sc0 ls0 ws4">O ciclista brasileir<span class="_1 blank"></span>o alcança o ciclista inglês no instan<span class="_1 blank"></span>te<span class="ffb"> t </span>= 5 s.</div><div class="t m0 x1d hc yc8 ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11">(CEFET) Letra C.</span></span></div><div class="t m0 x1d hc yc9 ff9 fs8 fc0 sc0 ls0 ws4">Men<span class="_1 blank"></span>or tempo im<span class="_1 blank"></span>plica maior aceleração: </div><div class="t m0 x1d h14 yca ff9 fs8 fc0 sc0 ls0 ws4">Cor<span class="_5 blank"> </span>vette <span class="ff12">\u2192</span> <span class="ffb">a</span></div><div class="t m0 x51 h48 y1c5 ffb fsc fc0 sc0 ls0 ws19">m<span class="ff9 fs8 ws4 v3"> =100/4 = 25 (km/h)/s. </span></div><div class="t m0 x1d hc ycb ff9 fs8 fc0 sc0 ls0 ws4">Maio<span class="_1 blank"></span>r tempo im<span class="_1 blank"></span>plica menor aceleração: </div><div class="t m0 x1d h14 ycc ff9 fs8 fc0 sc0 ls0 ws4">Pa<span class="_1 blank"></span>rati <span class="ff12">\u2192</span> <span class="ffb">a</span></div><div class="t m0 x7f h48 y1c6 ffb fsc fc0 sc0 ls0 ws19">m<span class="ff9 fs8 ws4 v3"> = 100/33,35 = 3 (km/h)/s. </span></div><div class="t m0 x1d hc ycd ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0"> <span class="ff11">(UF<span class="_3 blank"></span>AL) L<span class="_5 blank"> </span>etra E.</span></span></div><div class="t m0 x1d hc yce ff9 fs8 fc0 sc0 ls0 ws4">A equação de T<span class="_3 blank"></span>orricelli resolve ra<span class="_1 blank"></span>pidamen<span class="_1 blank"></span>te a questão:</div><div class="t m0 x1d hc ycf ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 fsc lsc v3">2</span><span class="ff9 ws4">= </span>v<span class="ff9 fsc v2">0</span></div><div class="t m0 x3c h37 y1c7 ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ws4 v2"> + 2 · <span class="ffb">a ·</span> <span class="ff12 ws21">\u0394<span class="ffb">s</span></span> <span class="ff12">\u2192</span> (400)</span><span class="v0">2<span class="fs8 ws4 v2"> = 0 + 2 · <span class="ffb">a</span> · 0,4 <span class="ff12">\u2192</span> <span class="ffb">a</span> = 2,0 · 10</span><span class="lsc">5</span><span class="fs8 ws4 v2"> m/s</span>2<span class="fs8 v2">.</span></span></div><div class="t m0 x1d hc yd0 ff11 fs8 fc1 sc0 ls0 ws4"> 06 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">CEFET<span class="_0 blank"></span>\ue01fMG<span class="ls0">)<span class="ff9 ws4"> </span><span class="ws4">Letra A.</span></span></span></span></span></div><div class="t m0 x1d hc yd1 ffb fs8 fc0 sc0 ls0">s<span class="ff9 ws4"> = </span><span class="ws13">s</span><span class="ff9 fsc ws14 v2">0</span><span class="ff9 ws4"> + </span><span class="ws13">v<span class="ff9 fsc lsc v2">0</span></span><span class="ff9 ws4"> ·</span><span class="ws4"> t + a · t</span><span class="ff9 fsc ws14 v3">2</span><span class="ff9">/2</span></div><div class="t m0 x1d hc yd2 ff9 fs8 fc0 sc0 ls0 ws4">50 = 0 + 15 · 5 + <span class="ffb">a</span> · (5)<span class="fsc lsc v3">2</span>/2</div><div class="t m0 x1d hc yd3 ff9 fs8 fc0 sc0 ls0 ws4">50 = 75 + <span class="ffb">a</span> · (25)/2</div><div class="t m0 x1d hc yd4 ff9 fs8 fc0 sc0 ls0 ws4">50 \u2013 75 = <span class="ffb">a</span> · (25)/2</div><div class="t m0 x1d h14 yd5 ff9 fs8 fc0 sc0 ls0 ws4">\u201325 = 25 · <span class="ffb">a</span>/2 <span class="ff12">\u21d2</span> <span class="ffb">a</span> = \u20132 m/s<span class="fsc lsc v3">2</span>.</div><div class="t m0 x1d hc yd6 ffb fs8 fc0 sc0 ls0 ws4">v = v<span class="ff9 fsc lsc v2">0</span><span class="ff9"> + </span>a · t</div><div class="t m0 x1d hc yd7 ffb fs8 fc0 sc0 ls0">v<span class="ff9 ws4"> = 15 \u2013 2(5) = 15 \u2013 10 = 5 m/s.</span></div><div class="t m0 x1d hc yd8 ff11 fs8 fc1 sc0 ls0 ws4"> 07 <span class="ff9 fc0"> <span class="ff11 ws91">(A<span class="_0 blank"></span>CAFE)<span class="ff9 ws4"> </span><span class="ls62 ws6d">L<span class="_a blank"> </span>e<span class="_5 blank"> </span>t<span class="_5 blank"> </span>r<span class="_5 blank"> </span>a<span class="_5 blank"> </span> D.</span></span></span></div><div class="t m0 x1d hc yd9 ff9 fs8 fc0 sc0 ls6d wse">Cálculo d<span class="_5 blank"> </span>as desacelerações para as pistas seca e molhada: ve<span class="_1 blank"></span>locid<span class="_5 blank"> </span>ade </div><div class="t m0 x1d hc yda ff9 fs8 fc0 sc0 ls0 ws4">inicial de 10 m/s e espaço de frenagem 5 m e 6 m.</div><div class="t m0 x1d hc ydb ff9 fs8 fc0 sc0 ls0 ws4">U<span class="_0 blank"></span>sando a equação de T<span class="_3 blank"></span>orricelli:</div><div class="t m0 x80 h49 y1c8 ff38 fs14 fc0 sc0 ls0 ws4"> <span class="_29 blank"> </span>2<span class="_2a blank"></span><span class="ff39 lsb4">\ue01f\ue01f</span></div><div class="t m0 x81 h4a y1c9 ff3a fs15 fc0 sc0 lsb5">mm</div><div class="t m0 x42 h4b y1c8 ff3a fs14 fc0 sc0 lsb6">as</div><div class="t m0 x82 h4b y1ca ff3a fs14 fc0 sc0 lsb7 ws9e">as <span class="ls0">a</span></div><div class="t m0 x34 h4b y1cb ff3a fs14 fc0 sc0 ls0">a</div><div class="t m0 x24 h4a y1cc ff3a fs15 fc0 sc0 lsb8 ws9f">ss <span class="ls0">s</span></div><div class="t m0 x83 h4a y1cd ff3a fs15 fc0 sc0 ls0">s</div><div class="c x1d y1ce wf h4c"><div class="t m0 x0 h4b y1cf ff3a fs14 fc0 sc0 ls0">v</div></div><div class="t m0 x84 h49 y1d0 ff38 fs14 fc0 sc0 ls0 ws4"> = <span class="ff3a">v </span>+ 2 · <span class="ff3a">a</span> · <span class="ff39">\ue01e<span class="ff3a">s</span></span></div><div class="t m0 x3d h4d y1d1 ff38 fs15 fc0 sc0 ls0">0</div><div class="t m0 x3d h4d y1d2 ff38 fs15 fc0 sc0 ls0 wsa0">2<span class="_2b blank"></span>2</div><div class="c x1d y1ce wf h4c"><div class="t m0 x2 h4d y1d3 ff38 fs15 fc0 sc0 lsb9">22</div></div><div class="t m0 x85 h4e y1d4 ff38 fs14 fc0 sc0 lsba wsa1">01<span class="_2c blank"></span><span class="lsbb wsa2">02 <span class="lsa0">5<span class="lsbc">100</span></span></span></div><div class="t m0 x86 h4e y1d5 ff38 fs14 fc0 sc0 lsbc">10</div><div class="t m0 x87 h49 y1d4 ff39 fs14 fc0 sc0 lsbd wsa3">\ue01d\ue01c<span class="_2d blank"></span><span class="lsbe wsa4">\ue01f\ue01f <span class="lsbf wsa5">\ue01b\ue01f <span class="lsc0">\ue01f\ue01d</span></span></span></div><div class="t m0 x88 h49 y1d5 ff39 fs14 fc0 sc0 lsc1">\ue01b\ue01d</div><div class="t m0 x81 h49 y1d4 ff39 fs14 fc0 sc0 ls0 wsa6">\ue01e<span class="_2e blank"></span><span class="ff38 lsc2 wsa7">pi<span class="lsc3 wsa8">st<span class="lsc4 ws4">a seca: <span class="_2f blank"> </span><span class="lsc5 wsd7">2 </span></span></span></span></div><div class="c x1d y1ce wf h4c"><div class="t m0 x89 h4e y1d6 ff38 fs14 fc0 sc0 ls0 ws4"> </div></div><div class="t m0 x8a h4e y1d7 ff38 fs14 fc0 sc0 lsc6 wsa9">m/<span class="ls0 wsaa">s<span class="_c blank"></span>s</span></div><div class="t m0 x47 h4e y1d8 ff38 fs14 fc0 sc0 lsc2 wsa7">pi<span class="lsc3 wsa8">st<span class="lsc7 ws4">a molhada:</span></span></div><div class="t m0 x35 h4e y1d9 ff38 fs14 fc0 sc0 lsa1 ws4"> <span class="lsc6 wsa9">m/<span class="ls0">s</span></span></div><div class="t m0 x8b h4d y1da ff38 fs15 fc0 sc0 ls0">2</div><div class="t m0 x34 h4d y1db ff38 fs15 fc0 sc0 lsb9">22</div><div class="t m0 x36 h4e y1c8 ff38 fs14 fc0 sc0 lsba wsa1">01<span class="_2c blank"></span><span class="lsbb wsab">02 <span class="lsa2">6<span class="lsbc">100</span></span></span></div><div class="t m0 x8c h4e y1dc ff38 fs14 fc0 sc0 lsbc">100</div><div class="c x1d y1ce wf h4c"><div class="t m0 x53 h4e y1dd ff38 fs14 fc0 sc0 lsbc">12</div></div><div class="t m0 x81 h4e y1d7 ff38 fs14 fc0 sc0 ls0">.</div><div class="t m0 x83 h49 y1d8 ff39 fs14 fc0 sc0 lsbd wsac">\ue01d\ue01c <span class="lsbf wsad">\ue01b\ue01f <span class="lsc8">\ue01f\ue01d</span></span></div><div class="t m0 x80 h49 y1d9 ff39 fs14 fc0 sc0 lsc9">\ue01b\ue01d</div><div class="t m0 x8d h4b y1d8 ff3a fs14 fc0 sc0 ls0">a</div><div class="t m0 x83 h4b y1d9 ff3a fs14 fc0 sc0 ls0">a</div><div class="t m0 x8e h4a y1c9 ff3a fs15 fc0 sc0 ls0">m</div><div class="t m0 x26 h4a y1de ff3a fs15 fc0 sc0 ls0">m</div><div class="t m0 x8f h49 y1c8 ff39 fs14 fc0 sc0 ls0">\ue01e</div><div class="t m0 x90 h4d y1df ff38 fs15 fc0 sc0 ls0 wsae">2<span class="_8 blank"></span>2 <span class="fs14 v10">.</span></div><div class="c x1d y1ce wf h4c"><div class="t m0 x6a h49 y1e0 ff39 fs14 fc0 sc0 ls0">\ue01a</div></div><div class="t m0 x4d h49 y1e1 ff39 fs14 fc0 sc0 ls0">\ue019</div><div class="t m0 x4d h49 y1e2 ff39 fs14 fc0 sc0 ls0">\ue018</div><div class="t m0 x4d h49 y1e3 ff39 fs14 fc0 sc0 ls0">\ue018</div><div class="t m0 x4d h49 y1e4 ff39 fs14 fc0 sc0 ls0">\ue018</div><div class="c x1d y1ce wf h4c"><div class="t m0 x6a h49 y1e5 ff39 fs14 fc0 sc0 ls0">\ue017</div></div><div class="t m0 x4d h49 y1e6 ff39 fs14 fc0 sc0 ls0">\ue018</div><div class="t m0 x4d h49 y1e7 ff39 fs14 fc0 sc0 ls0">\ue018</div><div class="t m0 x4d h49 y1e8 ff39 fs14 fc0 sc0 ls0">\ue018</div><div class="t m0 x25 h49 y1e9 ff39 fs14 fc0 sc0 ls0">\ue01b</div><div class="c x1d y1ce wf h4c"><div class="t m0 x59 h49 y1ea ff39 fs14 fc0 sc0 ls0">\ue01b</div></div><div class="t m0 x1d hc y1eb ff9 fs8 fc0 sc0 lsca ws32">Cálculo dos espaços de f<span class="_5 blank"> </span>renag<span class="_1 blank"></span>em para as pistas seca e molhada: <span class="_c blank"></span><span class="ls0 ws4"> </span></div><div class="t m0 x1d hc y1ec ff9 fs8 fc0 sc0 lscb ws4">velocidade inicial de 30 m/s.</div><div class="t m0 x91 h4f y1ed ff3b fs16 fc0 sc0 lsa3">\ue01f<span class="lscc wsaf v11">\ue01e\ue01e<span class="_30 blank"></span><span class="lscd wsb0">\ue01d\ue01c<span class="_31 blank"></span><span class="lsa5 wsb1">\ue01d\ue01c<span class="_32 blank"></span><span class="ff3c lsce">ss</span></span></span></span></div><div class="t m0 x82 h50 y1ee ff3c fs17 fc0 sc0 lscf">mm</div><div class="t m0 x39 h4f y1ef ff3b fs16 fc0 sc0 ls0">\ue01f</div><div class="c x1d y1f0 wf h51"><div class="t m0 x0 h52 y1f1 ff3c fs16 fc0 sc0 lsd0">vv</div></div><div class="t m0 x50 h52 y1f2 ff3c fs16 fc0 sc0 lsd1">as</div><div class="t m0 x92 h52 y1f3 ff3c fs16 fc0 sc0 lsd2">SS</div><div class="t m0 x26 h52 y1f4 ff3c fs16 fc0 sc0 ls0">S</div><div class="c x1d y1f0 wf h51"><div class="t m0 x93 h50 y1f5 ff3c fs17 fc0 sc0 lsd3">ss</div></div><div class="t m0 x3a h50 y1f6 ff3c fs17 fc0 sc0 ls0">s</div><div class="t m0 x84 h53 y1f7 ff3d fs17 fc0 sc0 ls0">2</div><div class="t m0 x3c h53 y1f8 ff3d fs17 fc0 sc0 ls0">0</div><div class="t m0 x3c h53 y1f7 ff3d fs17 fc0 sc0 ls0">2</div><div class="c x1d y1f0 wf h51"><div class="t m0 x6 h53 y1f9 ff3d fs17 fc0 sc0 lsd4">22</div></div><div class="t m0 x46 h54 y1f2 ff3d fs16 fc0 sc0 ls0">2</div><div class="t m0 x94 h54 y1f3 ff3d fs16 fc0 sc0 lsd5 wsb2">03<span class="_33 blank"></span><span class="lsd6 wsb3">02<span class="_2d blank"></span><span class="lsa4 wsb4">10 900</span></span></div><div class="t m0 x95 h54 y1f4 ff3d fs16 fc0 sc0 ls0">4</div><div class="t m0 x96 h4f y1f2 ff3b fs16 fc0 sc0 lsd7 wsb5">\ue01c\ue01b<span class="_1d blank"></span><span class="lsd8">\ue01f\ue01f</span></div><div class="t m0 x35 h4f y1f3 ff3b fs16 fc0 sc0 lsd9 wsb6">\ue01c\ue01a<span class="_34 blank"></span><span class="lsda wsb7">\ue01f\ue01f <span class="lsdb wsb8">\ue01d\ue01f <span class="ls0">\ue01c</span></span></span></div><div class="t m0 x80 h4f y1f4 ff3b fs16 fc0 sc0 lsa5">\ue01d\ue01c</div><div class="t m0 x97 h4f y1f2 ff3b fs16 fc0 sc0 ls0">\ue01e</div><div class="t m0 x52 h4f y1f3 ff3b fs16 fc0 sc0 lsdc">\ue01e\ue01e</div><div class="t m0 x83 h4f y1f4 ff3b fs16 fc0 sc0 ls0">\ue01e</div><div class="t m0 x5c h4f y1f3 ff3d fs16 fc0 sc0 lsdd wsb9">pi<span class="lsde wsba">st<span class="lsdf ws4">a seca: <span class="_35 blank"> </span><span class="lsa4 wsbb">20 <span class="ff3b ls0">\ue01d</span></span></span></span></div><div class="c x1d y1f0 wf h51"><div class="t m0 x98 h54 y1fa ff3d fs16 fc0 sc0 ls0 ws4"> </div></div><div class="t m0 xc h4f y1fb ff3b fs16 fc0 sc0 lsa5">\ue01d<span class="ff3d ls0 ws4"> </span></div><div class="t m0 x99 h54 y1fc ff3d fs16 fc0 sc0 ls0 wsbc">5<span class="_36 blank"></span>5</div><div class="t m0 x36 h54 y1fd ff3d fs16 fc0 sc0 lsd5 wsb2">03<span class="_33 blank"></span><span class="lsd6">02</span></div><div class="t m0 x81 h54 y1fe ff3d fs16 fc0 sc0 lsa4">100</div><div class="t m0 x9a h54 y1ff ff3d fs16 fc0 sc0 lsa4">12</div><div class="t m0 x83 h54 y200 ff3d fs16 fc0 sc0 lsa4">100</div><div class="c x1d y1f0 wf h51"><div class="t m0 x73 h54 y201 ff3d fs16 fc0 sc0 ls0">6</div></div><div class="t m0 x9b h54 y202 ff3d fs16 fc0 sc0 lsa4 wsbd">900 54</div><div class="t m0 x34 h53 y203 ff3d fs17 fc0 sc0 lsd4">22</div><div class="t m0 x42 h54 y1fc ff3d fs16 fc0 sc0 ls0">m</div><div class="t m0 x5c h54 y1fd ff3d fs16 fc0 sc0 lsdd wsb9">pi<span class="lsde wsba">st<span class="lse0 ws4">a molhada:<span class="_5 blank"> </span><span class="ls0"> </span></span></span></div><div class="t m0 x9c h54 y204 ff3d fs16 fc0 sc0 ls0">m</div><div class="t m0 x9a h54 y1fc ff3d fs16 fc0 sc0 ls0">.</div><div class="t m0 x21 h4f y1fd ff3b fs16 fc0 sc0 lsd9 wsbe">\ue01c\ue01a <span class="ff3c fs17 ls0 v12">m</span></div><div class="t m0 x43 h4f y205 ff3c fs16 fc0 sc0 ls0 wsbf">s<span class="_37 blank"></span><span class="ff3b">\ue01e</span></div><div class="t m0 x9d h54 y206 ff3d fs16 fc0 sc0 lse1">..</div><div class="c x1d y1f0 wf h51"><div class="t m0 x60 h4f y207 ff3b fs16 fc0 sc0 ls0">\ue019</div></div><div class="t m0 x9e h4f y1fb ff3b fs16 fc0 sc0 ls0">\ue018</div><div class="t m0 x9e h4f y208 ff3b fs16 fc0 sc0 ls0">\ue017</div><div class="t m0 x9e h4f y209 ff3b fs16 fc0 sc0 ls0">\ue017</div><div class="t m0 x9e h4f y20a ff3b fs16 fc0 sc0 ls0">\ue017</div><div class="c x1d y1f0 wf h51"><div class="t m0 x60 h4f y20b ff3b fs16 fc0 sc0 ls0">\ue016</div></div><div class="t m0 x9e h4f y20c ff3b fs16 fc0 sc0 ls0">\ue017</div><div class="t m0 x9e h4f y20d ff3b fs16 fc0 sc0 ls0">\ue017</div><div class="t m0 x9e h4f y20e ff3b fs16 fc0 sc0 ls0">\ue017</div><div class="t m0 x42 h4f y20f ff3b fs16 fc0 sc0 ls0">\ue01f</div><div class="t m0 x1d hc y210 ff9 fs8 fc0 sc0 ls4 ws8">A distância perco<span class="_1 blank"></span>rrida a mais na pista mo<span class="_1 blank"></span>lhada é de 54 \u2013 45 = <span class="_c blank"></span><span class="ls0 ws4"> </span></div><div class="t m0 x1d hc y211 ff9 fs8 fc0 sc0 ls0 ws4">9 metros.</div><div class="t m0 x1d h19 y212 ff11 fs8 fc1 sc0 ls0 ws4"> 08 <span class="ff9 fc0 v0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFP<span class="_3 blank"></span>A<span class="ls0 ws4">) Letra E.</span></span></span></span></div><div class="t m0 x1d hc y213 ff9 fs8 fc0 sc0 ls0 wse7">No<span class="_1 blank"></span>te que a velocidade do a<span class="_1 blank"></span>tleta aumenta a<span class="_1 blank"></span>té 43 km/h = </div><div class="c x9f y214 w10 h55"><div class="t m0 xa0 hc y215 ff9 fs8 fc0 sc0 ls1">43</div><div class="t m0 x0 hc y216 ff9 fs8 fc0 sc0 lse2 wsc0">36<span class="_38 blank"></span><span class="ls0">,</span></div></div><div class="t m0 x9d h56 y217 ff9 fs8 fc0 sc0 ls36 wsc1">m/<span class="lsa6">s<span class="ls1 ws4 v0"> <span class="ff12 ls0 ws21 vf">\u2245</span><span class="ls0"> </span></span></span></div><div class="t m0 x1d hc y218 ff9 fs8 fc0 sc0 ls0 ws10">11,9 m/s, man<span class="_1 blank"></span>tém-se constan<span class="_1 blank"></span>te entre os 50 m e os 60 m e se r<span class="_1 blank"></span>eduz </div><div class="t m0 x1d hc y219 ff9 fs8 fc0 sc0 ls0 ws4">nos últimos 40 m.</div><div class="t m0 x1d h57 y21a ff11 fs8 fc1 sc0 ls0 ws4"> 09 <span class="ff9 fc0 v0"> <span class="ff11 ls20">(<span class="ls21 ws1f">UFG<span class="ls0">)</span></span></span> <span class="ff11">Letra C.</span></span></div><div class="t m0 x1d hc y21b ff9 fs8 fc0 sc0 ls0 ws4">Transformando as velocidades para o Sistema Internacional:</div><div class="t m0 x1d hc y21c ff9 fs8 fc0 sc0 ls0 ws4">259,2 km/h = 72 m/s;</div><div class="t m0 x1d hc y21d ff9 fs8 fc0 sc0 ls0 ws4">187,2 km/h = 52 m/s.</div><div class="t m0 x1d hc y21e ff9 fs8 fc0 sc0 ls0 ws4">Calculando a desaceleração da aeronave por Torricelli: </div><div class="t m0 x1d h1a y21f ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 fsc lsc v3">2</span><span class="ff9 ws4 v0">= </span><span class="v0">v<span class="ff9 fsc v2">0</span></span></div><div class="t m0 xa1 h37 y220 ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ws4 v2"> + 2 · <span class="ffb">a ·</span> <span class="ff12 ws21">\u0394<span class="ffb">s</span></span> <span class="ff12">\u21d2</span> (52)</span><span class="v0">2<span class="fs8 ws4 v2">= (72)</span>2<span class="fs8 ws4 v2"> + 2 · <span class="ffb">a</span> · (1.240)</span></span></div><div class="t m0 x1d h14 y221 ff9 fs8 fc0 sc0 ls0 ws6b">2.704 = 5.184 + 2.480 · <span class="ffb">a</span><span class="ls37 ws4"> </span><span class="ff12">\u21d2</span> 2.704 \u2013 5.184 = 2.480 · <span class="ffb ws4">a <span class="_5 blank"> </span><span class="ff12">\u21d2</span></span> \u20132.480 = </div><div class="t m0 x1d h14 y222 ff9 fs8 fc0 sc0 ls0 ws4">2.480 · <span class="ffb">a</span> <span class="ff12">\u21d2</span> <span class="ffb">a </span>= \u20131 m/s<span class="fsc lsc v3">2</span>.</div><div class="t m0 x1d hc y223 ff9 fs8 fc0 sc0 ls0 ws40">Sabemos que é de 1.940 m a extensão total da pista. Vamos chamar </div><div class="t m0 x1d hc y224 ff9 fs8 fc0 sc0 ls6a ws48">de <span class="_0 blank"></span><span class="ffb ls0 ws13">x<span class="ff9 ls6a wse"> a distância até o \ue01fnal da pista, que será a distância de acele<span class="_1 blank"></span>ração </span></span></div><div class="t m0 x1d hc y225 ff9 fs8 fc0 sc0 ls0 ws31">da aeronave. Isso signi\ue01fca que a distância de desaceleração será </div><div class="t m0 x1d hc y226 ff9 fs8 fc0 sc0 ls0 ws4">1.940 \u2013 <span class="ffb">x</span>.</div><div class="t m0 x1d hc y227 ff9 fs8 fc0 sc0 ls0 ws4">Por Torricelli, </div><div class="t m0 x1d he y228 ffb fs8 fc0 sc0 ls0">v</div><div class="t m0 x84 h36 y229 ff9 fsc fc0 sc0 ls0">2</div><div class="t m0 xa2 hc y22a ff9 fs8 fc0 sc0 ls2f ws29">= <span class="_0 blank"></span><span class="ffb ls0">v</span></div><div class="t m0 x3d h36 y22b ff9 fsc fc0 sc0 ls0">0</div><div class="t m0 xa3 h36 y22c ff9 fsc fc0 sc0 ls0">2</div><div class="t m0 xa4 h14 y22a ff9 fs8 fc0 sc0 ls2f wse"> + 2 · <span class="ffb">a · </span><span class="ls0 ws1f">\u0394<span class="ffb ws13">s</span><span class="ws4"> <span class="_3 blank"></span><span class="ff12 ws21">\u21d2<span class="ff9 ws4"> <span class="_0 blank"></span><span class="ffb">v</span></span></span></span></span></div><div class="t m0 x40 h36 y229 ff9 fsc fc0 sc0 ls0">2</div><div class="t m0 x3f hc y22a ff9 fs8 fc0 sc0 ls2f wse"> = (72)<span class="fsc ls0 v3">2</span></div><div class="t m0 xa5 hc y22a ff9 fs8 fc0 sc0 ls2f wse"> \u2013 2(1.940 \u2013 <span class="ffb ls0 ws13">x</span>) [no trecho de frenagem];</div><div class="t m0 x1d hc y22d ff9 fs8 fc0 sc0 ls0 ws1f">(72)<span class="fsc ws14 v3">2</span><span class="ws4"> = <span class="ffb ws13">v</span><span class="fsc lsc v3">2</span> + 2(4) · <span class="ffb">x</span> [no trecho de aceleração].</span></div><div class="t m0 x1d hc y22e ff9 fs8 fc0 sc0 ls0 wse8">Então (72)<span class="fsc ws4 v3">2 </span></div><div class="t m0 xa6 h14 y22f ff9 fs8 fc0 sc0 ls0 wse8">= (72)<span class="fsc ws14 v3">2</span> \u2013 2 · (1.940 \u2013 <span class="ffb">x</span>) + 8<span class="ffb">x</span><span class="ws4"> <span class="ff12">\u21d2</span></span> 0 = \u20133.880 + 2<span class="ffb">x</span> + 8<span class="ffb">x</span><span class="ws4"> <span class="_0 blank"></span><span class="ff12">\u21d2<span class="ff9"> <span class="_9 blank"></span> </span></span></span></div><div class="t m0 x1d h14 y230 ff12 fs8 fc0 sc0 ls0 ws4">\u21d2 <span class="ff9">3.880 = 10 ·<span class="ffb"> x </span></span>\u21d2<span class="ffb"> x<span class="ff9"> = 3.880/10 = 388 m.</span></span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf7" class="pf w0 h0" data-page-no="7"><div class="pc pc7 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg7.png"><div class="t m0 x26 h11 yc6 ffe fs6 fc4 sc0 ls3a ws68">LIVRO DO<span class="_1 blank"></span> PROFESSOR</div><div class="t m0 x27 h20 yc7 ff8 fse fc3 sc0 ls0 ws4">Física I</div><div class="t m0 xe h11 y4a ffe fs6 fc1 sc0 ls0">7</div><div class="t m0 xe h12 y4b ff1a fsa fc3 sc0 ls0 ws4">1ª Série</div><div class="t m0 x8 hc yc8 ff11 fs8 fc1 sc0 ls0 ws4"> 10 <span class="ff9 fc0"> <span class="ff11 ls20">(<span class="ls21 ws1f">PUC\ue01fR<span class="ls0 ws91">io)</span></span></span> <span class="ff11">Letra A.</span></span></div><div class="t m0 x8 hc yc9 ff9 fs8 fc0 sc0 ls0 ws4">Dividamos o mo<span class="_1 blank"></span>vimento em três eta<span class="_1 blank"></span>pas:</div><div class="t m0 x8 hc yca ff9 fs8 fc0 sc0 ls0 ws137">Primeira etapa: o co<span class="_1 blank"></span>rredor acelera de <span class="ffb lse3">v</span><span class="fsc ws14 v2">0</span> = 0 a <span class="ffb">v</span> = 12 m/s, em um </div><div class="t m0 x8 h14 ycb ff9 fs8 fc0 sc0 ls0 ws4">deslocament<span class="_1 blank"></span>o <span class="ff12 ws21">\u0394<span class="ffb ws13">s</span></span><span class="fsc lsc v2">1</span> = 36 m.</div><div class="t m0 x8 hc ycc ff9 fs8 fc0 sc0 ls0 ws4">A<span class="_1 blank"></span>plicando a equação de T<span class="_3 blank"></span>orricelli: </div><div class="c x8 y231 w11 h58"><div class="t m0 x0 h59 y232 ffb fs6 fc0 sc0 ls102">vv</div></div><div class="t m0 xa7 h59 y233 ffb fs6 fc0 sc0 ls103 wse9">as <span class="ls104 wsea">aa <span class="ls0">a</span></span></div><div class="t m0 xa8 h5a y234 ff9 fs18 fc0 sc0 ls0">2</div><div class="t m0 x61 h5a y235 ff9 fs18 fc0 sc0 ls0">0</div><div class="t m0 x61 h5a y234 ff9 fs18 fc0 sc0 ls0">2</div><div class="t m0 xa9 h5a y235 ff9 fs18 fc0 sc0 ls0">1</div><div class="c x8 y231 w11 h58"><div class="t m0 x7c h5a y236 ff9 fs18 fc0 sc0 ls105">22</div></div><div class="t m0 x6d h5b y233 ff9 fs6 fc0 sc0 ls106 wseb">21<span class="_39 blank"></span><span class="ls107 wsec">22 <span class="ls108 wsed">36 <span class="v5">144</span></span></span></div><div class="c x8 y231 w11 h58"><div class="t m0 xaa h5c y237 ff9 fs6 fc0 sc0 ls108">72</div></div><div class="t m0 xab h5d y233 ff9 fs6 fc0 sc0 ls0 wsee">2<span class="_3a blank"></span><span class="ff3e ls109 wsef">\ue01f\ue01e<span class="_3b blank"></span><span class="ls10a wsf0">\ue01e\ue01e <span class="ls10b wsf1">\ue01d\ue01f<span class="_34 blank"></span><span class="ls10a wsf2">\ue01e\ue01e <span class="ls10c wsf3">\ue01d\ue01f \ue01d\ue01f<span class="_3c blank"></span><span class="lse4">\ue01c<span class="ff9 ls10d">()</span></span></span></span></span></span></span></div><div class="c x8 y231 w11 h58"><div class="t m0 xac h5c y232 ff9 fs6 fc0 sc0 ls0">.</div></div><div class="t m0 xad h5c y233 ff9 fs6 fc0 sc0 ls10e wsf4">m/<span class="ls0">s</span></div><div class="t m0 x8 hc y238 ff9 fs8 fc0 sc0 ls10f ws8">Segunda etapa: o corredo<span class="_1 blank"></span>r mantém v<span class="_1 blank"></span>elocidade constan<span class="_1 blank"></span>te,<span class="_0 blank"></span> <span class="_d blank"></span><span class="ls0 ws4"> </span></div><div class="t m0 x8 h14 y239 ffb fs8 fc0 sc0 ls0">v<span class="ff9 ws4"> = 12 m/s, duran<span class="_1 blank"></span>te <span class="ff12 ws21">\u0394<span class="ffb ws13">t</span></span><span class="fsc ws14 v2">2</span> = 3 s, deslocando-se <span class="ff12 ws21">\u0394<span class="ffb ws13">s</span></span><span class="fsc ws14 v2">2</span>.</span></div><div class="t m0 x8 h14 y23a ff12 fs8 fc0 sc0 ls0 ws21">\u0394<span class="ffb ws13">s<span class="ff9 fsc lsc v2">2</span><span class="ff9 ws4"> = </span>v</span>\u0394<span class="ffb ws13">t<span class="ff9 fsc lsc v2">2</span><span class="ff9 ws4"> = 12(3) </span></span>\u21d2<span class="ff9 ws4"> </span>\u0394<span class="ffb ws13">s<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ws4"> = 36 m.</span></span></div><div class="t m0 x8 hc y23b ff9 fs8 fc0 sc0 ls0 ws2a">T<span class="_3 blank"></span>erceira etapa: ao iniciar essa eta<span class="_1 blank"></span>pa \ue01fnal, o corredor já percorr<span class="_1 blank"></span>eu <span class="_e blank"></span><span class="ws4"> </span></div><div class="t m0 x8 h14 y23c ffb fs8 fc0 sc0 ls0">D<span class="ff9 ws4"> = 36 + 36 m <span class="ff12">\u21d2</span> </span>D<span class="ff9 ws4"> = 72 m. </span></div><div class="t m0 x8 h5e y23d ff9 fs8 fc0 sc0 ls0 ws13c">Resta-lhe percorrer <span class="ff12 ws21 v0">\u0394<span class="ffb ws13">s</span></span><span class="fsc ws14 v2">3</span><span class="v0"> = 100 \u2013 72 <span class="ff12">\u21d2</span><span class="lse5 ws4"> </span><span class="ff12 ws21">\u0394<span class="ffb ws13">s</span></span><span class="fsc lsc v2">3</span> = 28 m, co<span class="_1 blank"></span>m desacele-</span></div><div class="t m0 x8 hc y23e ff9 fs8 fc0 sc0 ls0 ws13d">ração constan<span class="_1 blank"></span>te de<span class="ffb ws13e"> a</span><span class="fsc ws14 v2">3</span> = \u20130,5 m/s<span class="fsc ws14 v3">2</span>, a partir da velocidade inicial <span class="_c blank"></span><span class="ws4"> </span></div><div class="t m0 x8 he y23f ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 fsc v2">0</span></div><div class="t m0 x68 h5f y240 ff9 fsc fc0 sc0 ls0 ws14">3<span class="fs8 ws4 v2"> = 12 m/s. A<span class="_1 blank"></span>plicando no<span class="_1 blank"></span>vament<span class="_1 blank"></span>e a equação de T<span class="_3 blank"></span>orricelli:</span></div><div class="t m0 x2b hd y241 ff3f fs8 fc0 sc0 ls110">20</div><div class="c x8 y242 w12 h60"><div class="t m0 xae h26 y243 ff40 fs8 fc0 sc0 ls111 wsf5">\ue01f\ue01e<span class="_3d blank"></span><span class="ff41 ls112 wsf6">vv <span class="ls0 wsc">v<span class="_3e blank"></span><span class="ls4f ws44">as <span class="ls0">v</span></span></span></span></div><div class="t m0 x2c he y244 ff41 fs8 fc0 sc0 ls0">v</div><div class="t m0 x7b h61 y245 ff3f fs19 fc0 sc0 ls0">2</div></div><div class="t m0 x4b h61 y246 ff3f fs19 fc0 sc0 ls0">3</div><div class="c x8 y242 w12 h60"><div class="t m0 xaf h61 y245 ff3f fs19 fc0 sc0 ls0">2</div></div><div class="t m0 xb0 h61 y246 ff3f fs19 fc0 sc0 ls0 ws4">3 <span class="_3 blank"></span> <span class="_1 blank"></span>3</div><div class="c x8 y242 w12 h60"><div class="t m0 xb1 h61 y245 ff3f fs19 fc0 sc0 ls0">2</div></div><div class="t m0 x70 hd y241 ff3f fs8 fc0 sc0 ls113 wsf7">52<span class="_3f blank"></span><span class="ls0">8</span></div><div class="c x8 y242 w12 h60"><div class="t m0 xb2 hd y243 ff3f fs8 fc0 sc0 ls1">116</div></div><div class="t m0 x62 hd y241 ff3f fs8 fc0 sc0 ls1 wsf8">144 <span class="lse6">2</span>116</div><div class="c x8 y242 w12 h60"><div class="t m0 xaf hd y145 ff3f fs8 fc0 sc0 ls1 ws77">10 <span class="ls0">8</span></div><div class="t m0 x4 h26 y247 ff40 fs8 fc0 sc0 ls114 wsf9">\ue01d\ue01f <span class="ls115 wsfa">\ue01c\ue01f<span class="_40 blank"></span><span class="ls116 wsfb">\ue01e\ue01f<span class="_41 blank"></span><span class="ls0">\ue01d</span></span></span></div><div class="t m0 x0 h26 y145 ff40 fs8 fc0 sc0 ls117">\ue01d\ue01f</div><div class="t m0 xb3 h26 y247 ff40 fs8 fc0 sc0 ls0">\ue01b</div></div><div class="t m0 x6e hd y241 ff3f fs8 fc0 sc0 ls118 wsfc">(,<span class="_42 blank"></span><span class="lsca">)(</span></div><div class="c x8 y242 w12 h60"><div class="t m0 xb4 hd y145 ff3f fs8 fc0 sc0 ls0 ws4">.<span class="_43 blank"></span> <span class="ls36 wsc1">m/</span>s</div></div><div class="t m0 x8 h13 y248 ff10 fsb fc3 sc0 ls29 ws23">Exercícios de apr<span class="_1 blank"></span>ofundam<span class="_1 blank"></span>ento</div><div class="t m0 x8 hc y249 ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11 ls5">(<span class="ls44 wsfd">UERJ<span class="ls23">)<span class="ff9 ws32"> N<span class="_0 blank"></span>o movimento unif<span class="_1 blank"></span>ormement<span class="_1 blank"></span>e variado (MUV), a </span></span></span></span></span></div><div class="t m0 x8 hc y24a ff9 fs8 fc0 sc0 ls0 ws141">velocidade média é igual à média das velocidades. C<span class="_5 blank"> </span>omo podemos </div><div class="t m0 x8 hc y24b ff9 fs8 fc0 sc0 ls0 ws142">perceber nessa questão<span class="_1 blank"></span>, as velocidades médias dos móv<span class="_1 blank"></span>eis <span class="ffb">A</span> e <span class="ffb">B</span><span class="ws4"> </span></div><div class="t m0 x8 hc y24c ff9 fs8 fc0 sc0 ls0 ws143">são iguais (executam o mesmo deslocam<span class="_1 blank"></span>ento escalar no mesmo </div><div class="t m0 x8 hc y24d ff9 fs8 fc0 sc0 ls0 ws144">intervalo de tempo). P<span class="_1 blank"></span>ortant<span class="_1 blank"></span>o, a média das velocidades dos dois </div><div class="t m0 x8 hc y24e ff9 fs8 fc0 sc0 ls0 ws4">veículos também será igual. Logo,</div><div class="t m0 x11 h62 y24f ffb fs1a fc0 sc0 ls119 wsfe">vv <span class="lse8">vv</span></div><div class="c x8 y250 w13 h63"><div class="t m0 x0 h62 y251 ffb fs1a fc0 sc0 ls11a">vv</div></div><div class="t m0 xb0 h62 y252 ffb fs1a fc0 sc0 ls11b wsff">at <span class="ls11c">vv</span></div><div class="c x8 y250 w13 h63"><div class="t m0 xb5 h62 y251 ffb fs1a fc0 sc0 ls11d">at</div><div class="t m0 x2c h62 y253 ffb fs1a fc0 sc0 ls119 ws100">va<span class="_37 blank"></span><span class="ls0">t</span></div></div><div class="t m0 xb3 h64 y254 ffb fs1b fc0 sc0 ls11e ws101">AA <span class="ls11f">BB</span></div><div class="t m0 x12 h64 y255 ffb fs1b fc0 sc0 ls120 ws102">AA <span class="ls121">BB</span></div><div class="c x8 y250 w13 h63"><div class="t m0 x2d h64 y256 ffb fs1b fc0 sc0 ls0">A</div></div><div class="t m0 x2a h65 y257 ffb fs1c fc0 sc0 ls122">FF</div><div class="c x8 y250 w13 h63"><div class="t m0 xb6 h65 y258 ffb fs1c fc0 sc0 ls123">AB</div><div class="t m0 x76 h65 y259 ffb fs1c fc0 sc0 ls0">A</div></div><div class="t m0 x12 h66 y257 ff9 fs1c fc0 sc0 ls124">00</div><div class="t m0 xa8 h66 y25a ff9 fs1c fc0 sc0 ls125 ws103">00 <span class="ls126">00</span></div><div class="c x8 y250 w13 h63"><div class="t m0 x29 h66 y25b ff9 fs1c fc0 sc0 ls0">0</div></div><div class="t m0 x9 h67 y25c ff9 fs1a fc0 sc0 ls127">22</div><div class="c x8 y250 w13 h63"><div class="t m0 x0 h67 y25d ff9 fs1a fc0 sc0 ls128">22</div></div><div class="t m0 x9 h68 y24f ff42 fs1a fc0 sc0 lse7">\ue01f<span class="lse8 v13">\ue01e</span><span class="ls0">\ue01f</span></div><div class="t m0 xb4 h68 y25e ff42 fs1a fc0 sc0 ls129 ws104">\ue01f\ue01f<span class="_44 blank"></span><span class="ls12a ws105">\ue01d\ue01e <span class="ls12b ws106">\ue01f\ue01f<span class="_44 blank"></span><span class="ls0">\ue01d</span></span></span></div><div class="t m0 x12 h68 y25f ff42 fs1a fc0 sc0 ls12c ws107">\ue01d\ue01f<span class="_c blank"></span><span class="ls12d">\ue01d\ue01e</span></div><div class="t m0 x4b h67 y25e ff9 fs1a fc0 sc0 ls12e">()</div><div class="c x8 y250 w13 h63"><div class="t m0 x5 h67 y251 ff9 fs1a fc0 sc0 ls12f">()</div></div><div class="t m0 x74 h68 y260 ff42 fs1a fc0 sc0 ls130 ws108">\ue01d\ue01d <span class="ls131">\ue01f\ue01d</span></div><div class="c x8 y250 w13 h63"><div class="t m0 x2a h62 y25d ffb fs1a fc0 sc0 lse8 ws109">va<span class="_37 blank"></span><span class="ls0">t</span></div><div class="t m0 xb7 h69 y256 ffb fs1b fc0 sc0 lse9">B<span class="fs1c ls0 ws10a v14">B<span class="_45 blank"></span><span class="ff9 lsea">0<span class="fs1a ls0 vd">.</span></span></span></div></div><div class="t m0 x8 hc y261 ff9 fs8 fc0 sc0 ls0 ws4">Conforme o en<span class="_1 blank"></span>unciado, t<span class="_1 blank"></span>emos</div><div class="t m0 x11 he y262 ffb fs8 fc0 sc0 ls132">vv</div><div class="t m0 x11 he y263 ffb fs8 fc0 sc0 ls133">vv</div><div class="t m0 x11 he y264 ffb fs8 fc0 sc0 ls134">aa</div><div class="t m0 x11 h6a y265 ffb fs8 fc0 sc0 lseb">a<span class="ls0 v4">a</span></div><div class="t m0 x79 he y266 ffb fs8 fc0 sc0 ls47 ws10b">va<span class="_44 blank"></span><span class="ls135">tv</span></div><div class="t m0 x33 he y267 ffb fs8 fc0 sc0 ls0">a</div><div class="t m0 xb3 h6b y268 ffb fs1d fc0 sc0 ls0">A</div><div class="t m0 xb3 h6b y269 ffb fs1d fc0 sc0 ls0">B</div><div class="t m0 x12 h6c y26a ffb fs1e fc0 sc0 ls0">A</div><div class="t m0 x12 h6c y26b ffb fs1e fc0 sc0 ls0">B</div><div class="t m0 xa8 h6d y26c ff9 fs1e fc0 sc0 ls136">00</div><div class="t m0 xa8 h6d y26d ff9 fs1e fc0 sc0 ls137">00</div><div class="c x8 y26e w14 h6e"><div class="t m0 xb1 h6d y26f ff9 fs1e fc0 sc0 ls138">00</div></div><div class="t m0 x4b hc y270 ff9 fs8 fc0 sc0 ls0">2</div><div class="t m0 x6a hc y271 ff9 fs8 fc0 sc0 ls0">2</div><div class="t m0 x2 hc y272 ff9 fs8 fc0 sc0 ls139 ws10c">22<span class="_46 blank"></span><span class="lsec">2<span class="ls0 v15">2</span></span></div><div class="t m0 xb4 h26 y273 ff43 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 x9 h26 y270 ff43 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 xb6 h26 y274 ff43 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 xb6 h26 y275 ff43 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 x6d h26 y276 ff43 fs8 fc0 sc0 ls0">\ue01e</div><div class="t m0 x6d h26 y277 ff43 fs8 fc0 sc0 ls0">\ue01d</div><div class="t m0 x6d h26 y278 ff43 fs8 fc0 sc0 ls0">\ue01c</div><div class="t m0 x6d h26 y279 ff43 fs8 fc0 sc0 ls0">\ue01c</div><div class="t m0 x6d h26 y27a ff43 fs8 fc0 sc0 ls0">\ue01c</div><div class="t m0 x6d h26 y27b ff43 fs8 fc0 sc0 ls0">\ue01b</div><div class="t m0 x6d h26 y27c ff43 fs8 fc0 sc0 ls0">\ue01c</div><div class="t m0 x6d h26 y27d ff43 fs8 fc0 sc0 ls0">\ue01c</div><div class="t m0 x6d h26 y27e ff43 fs8 fc0 sc0 ls0">\ue01c</div><div class="t m0 x16 h26 y27f ff43 fs8 fc0 sc0 ls13a ws10d">\ue01a\ue019<span class="_e blank"></span><span class="ls13b ws10e">\ue01a\ue01f <span class="ls13c">\ue01a\ue019</span></span></div><div class="t m0 xb8 h26 y280 ff43 fs8 fc0 sc0 ls0">\ue018</div><div class="t m0 xb1 hc y281 ff9 fs8 fc0 sc0 ls36 ws10f">Assim,<span class="ls0 ws4"> </span></div><div class="t m0 xb9 hc y27f ff9 fs8 fc0 sc0 ls13d">()</div><div class="t m0 xb8 h26 y282 ff43 fs8 fc0 sc0 ls0 wsc">\ue017<span class="_d blank"></span>\ue017</div><div class="t m0 xb8 h6f y283 ff43 fs8 fc0 sc0 lsed">\ue016<span class="ls0 va">\ue015</span></div><div class="t m0 x75 h26 y284 ff43 fs8 fc0 sc0 ls0">\ue014</div><div class="t m0 x75 h70 y285 ff43 fs8 fc0 sc0 lsee">\ue013<span class="ls0 vd">\ue01a</span></div><div class="t m0 x16 h26 y286 ff43 fs8 fc0 sc0 ls13a ws10d">\ue01a\ue019<span class="_e blank"></span><span class="ls13b ws110">\ue01a\ue01f <span class="ls13a ws10d">\ue01a\ue019<span class="_4 blank"></span><span class="ls0">\ue01a</span></span></span></div><div class="t m0 x72 h26 y287 ff43 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 x74 h26 y288 ff43 fs8 fc0 sc0 ls13e">\ue012\ue01f</div><div class="t m0 xb2 he y289 ffb fs8 fc0 sc0 ls0">t</div><div class="t m0 x79 he y28a ffb fs8 fc0 sc0 ls47 ws10b">va<span class="_44 blank"></span><span class="ls13f">tv</span></div><div class="t m0 xba he y28b ffb fs8 fc0 sc0 lsef">a<span class="ls0 v16">t</span></div><div class="t m0 x2 he y28c ffb fs8 fc0 sc0 ls6a ws111">at <span class="ls0 v16">v</span></div><div class="t m0 xbb h71 y28d ffb fs8 fc0 sc0 lsf0">t<span class="ls0 v4">v</span></div><div class="c x8 y26e w14 h6e"><div class="t m0 x1 he y28e ffb fs8 fc0 sc0 ls0">a</div></div><div class="t m0 x2 hc y28f ff9 fs8 fc0 sc0 ls140">24</div><div class="t m0 xba hc y290 ff9 fs8 fc0 sc0 ls0">2</div><div class="t m0 xbc h72 y291 ff9 fs8 fc0 sc0 lsf1">2<span class="ls0 v7">2</span></div><div class="t m0 xbd hc y292 ff9 fs8 fc0 sc0 ls0">4</div><div class="c x8 y26e w14 h6e"><div class="t m0 xb1 h6d y293 ff9 fs1e fc0 sc0 ls141">00</div></div><div class="t m0 x53 h6d y294 ff9 fs1e fc0 sc0 ls0">0</div><div class="t m0 xbe h73 y295 ff9 fs1e fc0 sc0 lsf2">0<span class="fs8 ls0 v10">.</span></div><div class="t m0 x8 hc y296 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0"> <span class="ff11 ws91">(P<span class="ls21 ws1f">UC\ue01fPR</span>)</span> <span class="ff11">Letra A.</span></span></div><div class="c x8 y297 w15 h74"><div class="t m0 xb2 h1d y298 ff44 fsd fc0 sc0 ls0">t</div></div><div class="t m0 xbf h2b y299 ff45 fsf fc0 sc0 ls0">2</div><div class="c x8 y297 w15 h74"><div class="t m0 xc0 h1d y298 ff45 fsd fc0 sc0 ls0 ws4"> = <span class="ff44">t</span> + 4</div></div><div class="t m0 xc1 h1d y29a ff44 fsd fc0 sc0 ls0 ws112">v<span class="ff45 fsf lsf3 v17">2</span><span class="ff45 ws4"> </span></div><div class="t m0 xc2 h1d y29b ff45 fsd fc0 sc0 ls0 ws4">16 m</div><div class="c x8 y297 w15 h74"><div class="t m0 xc3 h1d y29c ff45 fsd fc0 sc0 ls0">2</div><div class="t m0 xb6 h1d y29d ff44 fsd fc0 sc0 ls0">t</div></div><div class="t m0 xc4 h2b y299 ff45 fsf fc0 sc0 ls0">1</div><div class="c x8 y297 w15 h74"><div class="t m0 x9 h1d y298 ff45 fsd fc0 sc0 ls0 ws4"> = <span class="ff44">t</span></div><div class="t m0 x0 h1d y29e ff44 fsd fc0 sc0 ls0">v</div></div><div class="t m0 x68 h75 y29f ff45 fsf fc0 sc0 ls0 ws113">0<span class="fsd ws4 vd"> = 0</span></div><div class="t m0 xc4 h76 y2a0 ff44 fsd fc0 sc0 ls9a">v<span class="ff45 fsf ls0 ws113 v17">1</span><span class="ff45 ls0 ws4 v0"> </span></div><div class="t m0 xc5 h1d y29b ff45 fsd fc0 sc0 ls0 ws4">4 m</div><div class="c x8 y297 w15 h74"><div class="t m0 x60 h1d y29c ff45 fsd fc0 sc0 ls0 ws1a">1<span class="_47 blank"></span>0</div></div><div class="t m0 xb4 h77 y2a1 ff46 fs1f fc5 sc0 ls0">1</div><div class="t m0 x15 h77 y2a2 ff46 fs1f fc5 sc0 ls0">1</div><div class="t m0 x6a h77 y2a3 ff46 fs1f fc5 sc0 ls0">1</div><div class="t m0 x8 h78 y2a4 ff46 fs20 fc5 sc0 ls0">1</div><div class="c x8 y2a5 w16 h79"><div class="t m0 xc6 h78 y2a6 ff46 fs20 fc5 sc0 ls142">4m</div></div><div class="t m0 xa8 h7a y2a7 ff12 fs20 fc5 sc0 ls0">\uf8f1</div><div class="t m0 xa8 h7a y2a8 ff12 fs20 fc5 sc0 lsf4">\uf8f4<span class="ls0 v18">=</span></div><div class="t m0 xa8 h7a y2a9 ff12 fs20 fc5 sc0 ls0">\uf8f2</div><div class="t m0 xa8 h7a y2aa ff12 fs20 fc5 sc0 lsf5">\uf8f4<span class="ls143 ws114 v10">\u0394=</span></div><div class="t m0 xa8 h7a y2ab ff12 fs20 fc5 sc0 ls0">\uf8f3</div><div class="t m0 x69 h7b y2ac ffb fs20 fc5 sc0 ls0">v</div><div class="t m0 x69 h7b y2ad ffb fs20 fc5 sc0 ls144 ws115">tt</div><div class="t m0 x60 h7b y2ae ffb fs20 fc5 sc0 lsf6">s<span class="ff9 fs8 fc0 ls0 ws4 v16"> </span></div><div class="t m0 x7d h7c y2af ff47 fs21 fc5 sc0 ls0">2</div><div class="t m0 xc7 h7c y2b0 ff47 fs21 fc5 sc0 ls0">2</div><div class="t m0 xc8 h7c y2b1 ff47 fs21 fc5 sc0 ls0">1</div><div class="c xc9 y2a5 w17 h79"><div class="t m0 xa0 h7d y2b2 ff47 fs22 fc5 sc0 ls145">24</div></div><div class="t m0 x33 h7d y2b3 ff47 fs22 fc5 sc0 ls146 ws116">16 m</div><div class="t m0 x1c h7e y2b4 ff12 fs22 fc5 sc0 ls0">\uf8f1</div><div class="t m0 x1c h7e y2b5 ff12 fs22 fc5 sc0 lsf7">\uf8f4<span class="ls0 ws117 v18">= +</span></div><div class="t m0 x1c h7e y2b6 ff12 fs22 fc5 sc0 ls0">\uf8f2</div><div class="t m0 x1c h7e y2b7 ff12 fs22 fc5 sc0 lsf8">\uf8f4<span class="ls147 ws118 v10">\u0394=</span></div><div class="t m0 x1c h7e y2b8 ff12 fs22 fc5 sc0 ls0">\uf8f3</div><div class="t m0 xca h7f y2b9 ffb fs22 fc5 sc0 ls0">v</div><div class="t m0 xca h7f y2ba ffb fs22 fc5 sc0 ls148 ws119">tt</div><div class="t m0 xba h7f y2bb ffb fs22 fc5 sc0 lsf9">s<span class="ff9 fs8 fc0 ls0 ws4 v16"> </span></div><div class="t m0 xb3 h80 y2bc ff48 fs23 fc5 sc0 ls149">22</div><div class="c x8 y2bd w18 h81"><div class="t m0 x7b h80 y2be ff48 fs23 fc5 sc0 lsfa ws11a">10 1</div><div class="t m0 x7b h80 y2bf ff48 fs23 fc5 sc0 ls14a">11</div></div><div class="t m0 x2f h82 y2c0 ff48 fs24 fc5 sc0 ls0">2</div><div class="c x8 y2bd w18 h81"><div class="t m0 x13 h82 y2c1 ff48 fs24 fc5 sc0 ls14b">2.</div></div><div class="t m0 xb4 h83 y2c0 ff12 fs24 fc5 sc0 ls14c ws11b">=<span class="_48 blank"> </span>+<span class="_49 blank"> </span>\u22c5 \u22c5\u0394</div><div class="t m0 xb6 h83 y2c2 ff12 fs24 fc5 sc0 ls14c ws11b">=<span class="_4a blank"> </span>\u22c5 \u22c5\u0394</div><div class="c x8 y2bd w18 h81"><div class="t m0 xa0 h84 y2c3 ffb fs24 fc5 sc0 ls14d ws11c">v v<span class="_4b blank"> </span>as</div></div><div class="t m0 x11 h84 y2c4 ffb fs24 fc5 sc0 ls14d ws11d">v<span class="_4c blank"> </span>as <span class="ff9 fs8 fc0 ls0 ws4 v10"> </span></div><div class="t m0 x69 h85 y2c5 ff49 fs25 fc5 sc0 lsfb">22</div><div class="c x8 y2c6 w19 h81"><div class="t m0 x7b h85 y2c7 ff49 fs25 fc5 sc0 lsfb ws11e">20 2</div><div class="t m0 x7b h85 y2c8 ff49 fs25 fc5 sc0 ls14e">22</div></div><div class="t m0 xcb h86 y2c9 ff49 fs26 fc5 sc0 ls0">2</div><div class="c x8 y2c6 w19 h81"><div class="t m0 x13 h86 y2ca ff49 fs26 fc5 sc0 ls14f">2.</div></div><div class="t m0 x9 h87 y2c9 ff12 fs26 fc5 sc0 ls150 ws11f">=<span class="_48 blank"> </span>+<span class="_49 blank"> </span>\u22c5 \u22c5\u0394</div><div class="t m0 x15 h87 y2cb ff12 fs26 fc5 sc0 ls150 ws11f">=<span class="_4a blank"> </span>\u22c5 \u22c5\u0394</div><div class="c x8 y2c6 w19 h81"><div class="t m0 xa0 h88 y2cc ffb fs26 fc5 sc0 lsfc ws120">v v<span class="_4b blank"> </span>as</div></div><div class="t m0 x11 h88 y2cd ffb fs26 fc5 sc0 lsfc ws121">v as</div><div class="c x8 y2ce w1a h89"><div class="t m0 xcc h34 y2cf ff4a fs10 fc5 sc0 ls151">21</div><div class="t m0 x0 h14 y2d0 ffb fs8 fc5 sc0 lsfd ws122">v<span class="_4d blank"> </span>v at<span class="_4e blank"></span><span class="ff12 ls152 ws123">=<span class="_2 blank"> </span>+ \u22c5\u0394</span></div></div><div class="t m0 x28 hc y2d1 ff9 fs8 fc0 sc0 ls0 ws4">, em que </div><div class="c x3 y2d2 w1b h8a"><div class="t m0 x2e h34 y2d3 ff4b fs10 fc5 sc0 ls153">21</div><div class="t m0 x12 h14 y2d4 ff4b fs8 fc5 sc0 ls154 ws124">4s<span class="_12 blank"></span><span class="ffb ls155 ws125">tt t<span class="_4f blank"></span><span class="ff12 ls156 ws126">\u0394=<span class="_50 blank"> </span>\u2212 =</span></span></div></div><div class="t m0 x7e hc y2d1 ff9 fs8 fc0 sc0 ls0">.</div><div class="c xa y2d5 w1c h8b"><div class="t m0 x1b h34 y2d6 ff4c fs10 fc5 sc0 ls157">21</div><div class="t m0 x4b h34 y2d7 ff4c fs10 fc5 sc0 ls158">21</div><div class="t m0 x6c h34 y2d8 ff4c fs10 fc5 sc0 ls159">21</div></div><div class="t m0 xa1 hd y2d9 ff4c fs8 fc5 sc0 ls15a">22</div><div class="c xa y2d5 w1c h8b"><div class="t m0 x1b hd y2da ff4c fs8 fc5 sc0 ls15b ws127">22</div><div class="t m0 x1b hd y2db ff4c fs8 fc5 sc0 ls15c ws128">2( )</div></div><div class="t m0 x37 h14 y2d9 ff12 fs8 fc5 sc0 ls152 ws129">\u22c5 \u22c5\u0394<span class="_20 blank"> </span>=<span class="_4a blank"> </span>\u22c5 \u22c5\u0394<span class="_6 blank"> </span>+<span class="_49 blank"> </span>\u22c5\u0394</div><div class="t m0 xa1 h14 y2dc ff12 fs8 fc5 sc0 ls152 ws129">\u22c5\u0394<span class="_51 blank"> </span>=<span class="_4a blank"> </span>\u22c5 \u22c5\u0394<span class="_52 blank"> </span>\u2212<span class="_21 blank"> </span>\u22c5 \u22c5\u0394</div><div class="t m0 xa1 h14 y2dd ff12 fs8 fc5 sc0 ls152 ws12a">\u22c5\u0394 =<span class="_4a blank"> </span>\u22c5<span class="_49 blank"> </span>\u22c5<span class="_2 blank"> </span>\u0394<span class="_52 blank"> </span>\u2212<span class="_7 blank"> </span>\u0394</div><div class="c xa y2d5 w1c h8b"><div class="t m0 x2d he y2de ffb fs8 fc5 sc0 lsfd ws12b">as<span class="_53 blank"> </span>as at</div><div class="t m0 xa0 he y2df ffb fs8 fc5 sc0 lsfd ws12c">at as<span class="_54 blank"> </span>as</div></div><div class="t m0 xcd he y2e0 ffb fs8 fc5 sc0 lsfd ws12d">at<span class="_48 blank"> </span>a<span class="_55 blank"> </span>s<span class="_4b blank"> </span>s <span class="ff9 fc0 ls0 ws4 v10"> </span></div><div class="c xa y2e1 w1d h8c"><div class="t m0 xce h34 y2e2 ff4d fs10 fc5 sc0 lsfe ws12e">22 2</div></div><div class="t m0 x40 h34 y2e3 ff4d fs10 fc5 sc0 ls0">2</div><div class="t m0 x9e h34 y2e4 ff4d fs10 fc5 sc0 ls0">2</div><div class="t m0 xb hd y2e5 ff4d fs8 fc5 sc0 ls1 ws12f">4<span class="_22 blank"> </span>2<span class="_48 blank"> </span>(<span class="_56 blank"> </span>4<span class="_4b blank"> </span>16 )</div><div class="t m0 xa hd y2e6 ff4d fs8 fc5 sc0 ls1 ws130">16<span class="_53 blank"> </span>2 (<span class="_1 blank"></span>2<span class="_20 blank"> </span>4)</div><div class="t m0 x46 hd y2e7 ff4d fs8 fc5 sc0 ls0">8</div><div class="t m0 xb hd y2e8 ff4d fs8 fc5 sc0 ls1 ws5a">16</div><div class="t m0 xb hd y2e9 ff4d fs8 fc5 sc0 ls6 ws131">0, 5<span class="_57 blank"> </span>m<span class="_51 blank"> </span>s<span class="_50 blank"> </span>.</div><div class="t m0 xcd he y2e5 ffb fs8 fc5 sc0 ls75">aa</div><div class="t m0 xb he y2e6 ffb fs8 fc5 sc0 ls0">a</div><div class="t m0 xcd he y2ea ffb fs8 fc5 sc0 ls0">a</div><div class="t m0 xcd he y2e9 ffb fs8 fc5 sc0 ls0">a</div><div class="t m0 xcf h14 y2e5 ff12 fs8 fc5 sc0 ls15d ws132">\u22c5<span class="_50 blank"> </span>= \u22c5\u22c5<span class="_58 blank"> </span>\u2212</div><div class="t m0 xcf h14 y2e6 ff12 fs8 fc5 sc0 ls15e ws133">\u22c5=<span class="_1 blank"></span>\u22c5 \u2212</div><div class="t m0 xa4 h14 y2ea ff12 fs8 fc5 sc0 ls0">=</div><div class="t m0 xa4 h14 y2e9 ff12 fs8 fc5 sc0 lsff">=<span class="ff9 fc0 ls0 ws4 v18"> </span></div><div class="t m0 xc ha y2eb ff7 fs7 fc0 sc0 ls0 ws4">Módulo 8</div><div class="t m0 xa h13 y2ec ff10 fsb fc3 sc0 ls29 ws23">Exercícios concei<span class="_1 blank"></span>tuais</div><div class="t m0 xa hc y2ed ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11 ws91">(CEFET<span class="_0 blank"></span>-MG)<span class="ff9 ws4"> <span class="ff11">Le<span class="_5 blank"> </span>tra C.</span></span></span></span></div><div class="t m0 xa hc y2ee ff9 fs8 fc0 sc0 ls35 ws170">No in<span class="_1 blank"></span>tervalo de 0 h a 1 h, a velocidade es<span class="_5 blank"> </span>calar é positiva e tem módulo </div><div class="t m0 xa hc y2ef ff9 fs8 fc0 sc0 ls35 ws4">decrescente<span class="_1 blank"></span>. Então<span class="_1 blank"></span>, o movimen<span class="_1 blank"></span>to é progres<span class="_1 blank"></span>sivo e desacelerado<span class="_1 blank"></span>.<span class="_5 blank"> </span> </div><div class="t m0 xa hc y2f0 ff9 fs8 fc0 sc0 ls35 ws171">No in<span class="_1 blank"></span>tervalo de 1 h a 2 h, a velocidade es<span class="_5 blank"> </span>calar é negativa e t<span class="_1 blank"></span>em módulo<span class="_5 blank"> </span> </div><div class="t m0 xa hc y2f1 ff9 fs8 fc0 sc0 ls35 ws172">crescent<span class="_1 blank"></span>e. Então<span class="_1 blank"></span>, o movimen<span class="_1 blank"></span>to é regressi<span class="_1 blank"></span>vo (ou retr<span class="_1 blank"></span>ógrado) e acelerado. <span class="_4 blank"></span> </div><div class="t m0 xa h1a y2f2 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0 v0"> <span class="ff11 ws91">(FGV)</span> <span class="ff11 ls6 wsa">Le<span class="_5 blank"> </span>tra<span class="_5 blank"> </span> B.</span></span></div><div class="t m0 xa hc y2f3 ff9 fs8 fc0 sc0 ls0 ws4">Analisando cada um dos trechos:</div><div class="t m0 xa hc y2f4 ff9 fs8 fc0 sc0 ls30 ws8">I. <span class="_56 blank"> </span>O módulo da velocidade esc<span class="_5 blank"> </span>alar cresce linearmen<span class="_1 blank"></span>te com o </div><div class="t m0 xb hc y2f5 ff9 fs8 fc0 sc0 ls0 ws4">tempo: o mo<span class="_1 blank"></span>vimento é unif<span class="_1 blank"></span>ormemente va<span class="_1 blank"></span>riado, acelerado<span class="_0 blank"></span>.</div><div class="t m0 xa hc y2f6 ff9 fs8 fc0 sc0 ls51 ws8">II.<span class="_1 blank"></span> <span class="_59 blank"> </span>O módulo da velocidade escalar é constan<span class="_1 blank"></span>te e não n<span class="_1 blank"></span>ulo: o </div><div class="t m0 xb hc y2f7 ff9 fs8 fc0 sc0 ls0 ws4">movimen<span class="_1 blank"></span>to é uniforme<span class="_1 blank"></span>.</div><div class="t m0 xa hc y2f8 ff9 fs8 fc0 sc0 ls0 ws7d">III. <span class="_5a blank"> </span>O módulo da velocidade escalar decresce linearmente co<span class="_1 blank"></span>m o </div><div class="t m0 xb hc y2f9 ff9 fs8 fc0 sc0 ls0 ws4">tempo: o mo<span class="_1 blank"></span>vimento é unif<span class="_1 blank"></span>ormemente va<span class="_1 blank"></span>riado, reta<span class="_1 blank"></span>rdado.</div><div class="t m0 xa h1a y2fa ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0 v0"> <span class="ff11">(IFSC)</span> <span class="ff11">Letra E.</span></span></div><div class="t m0 xa hc y2fb ff9 fs8 fc0 sc0 ls6 ws172">No tr<span class="_1 blank"></span>echo I, a declividade da cur<span class="_5 blank"> </span>va espaço-tempo está a<span class="_1 blank"></span>umentando; </div><div class="t m0 xa hc y2fc ff9 fs8 fc0 sc0 ls43 ws32">portanto<span class="_0 blank"></span>, o mó<span class="_5 blank"> </span>dulo da velocidade também a<span class="_1 blank"></span>umenta. Logo<span class="_1 blank"></span>, o </div><div class="t m0 xa hc y2fd ff9 fs8 fc0 sc0 ls6 ws4">movimen<span class="_1 blank"></span>to é acelerado<span class="_1 blank"></span>.</div><div class="t m0 xa hc y2fe ff9 fs8 fc0 sc0 ls15f wse">No tr<span class="_1 blank"></span>echo II, o espaço é cons<span class="_1 blank"></span>tante; portan<span class="_1 blank"></span>to<span class="_1 blank"></span>, o móvel es<span class="_1 blank"></span>tá em repouso.</div><div class="t m0 xa hc y2ff ff9 fs8 fc0 sc0 ls6 ws40">No tr<span class="_1 blank"></span>echo III, o espaço diminui linearmen<span class="_1 blank"></span>te com o tem<span class="_1 blank"></span>po, tratan<span class="_1 blank"></span>do<span class="ls0">-</span></div><div class="t m0 xa hc y300 ff9 fs8 fc0 sc0 ls0 ws4">-se de um movimen<span class="_1 blank"></span>to uniforme r<span class="_1 blank"></span>etrógrado.</div><div class="t m0 xa hc y301 ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11 ws91">(CEFET<span class="_0 blank"></span>-MG)<span class="ff9 ws4"> </span><span class="ls6 wsa">L<span class="_5 blank"> </span>etr<span class="_5 blank"> </span>a B.</span></span></span></div><div class="t m0 xa hc y302 ff9 fs8 fc0 sc0 ls0 ws25">No per<span class="_1 blank"></span>curso de <span class="ffb">A</span><span class="ls7f ws173"> at<span class="_5 blank"> </span>é </span><span class="ffb">B</span>, a part<span class="_5 blank"> </span>ícula tem um movimen<span class="_1 blank"></span>to acelerado; </div><div class="t m0 xa hc y303 ff9 fs8 fc0 sc0 ls0 ws4">de <span class="ffb">B</span><span class="ls7f ws174"> até </span><span class="ffb">C,</span><span class="ws173"> não o<span class="_5 blank"> </span>corre m<span class="_1 blank"></span>udança no módulo da velocidade; e, de <span class="ffb">C</span><span class="ws4"> </span></span></div><div class="t m0 xa hc y304 ff9 fs8 fc0 sc0 ls7f ws175">até<span class="_5 blank"> </span> <span class="_0 blank"></span><span class="ffb ls80 ws134">D, <span class="ff9 ls0 ws176"> o va<span class="_5 blank"> </span>lor da velocidade dimin<span class="_1 blank"></span>ui até chega<span class="_1 blank"></span>r a 0. O único grá\ue01fco </span></span></div><div class="t m0 xa hc y305 ff9 fs8 fc0 sc0 ls0 ws4">que mostra isso é o r<span class="_1 blank"></span>epresentado pela alterna<span class="_1 blank"></span>tiva B.</div><div class="t m0 xa hc y306 ffa fs8 fc3 sc0 ls6">Obs.:<span class="ff9 fc0 ws25"> U<span class="_1 blank"></span>ma alterna<span class="_1 blank"></span>tiva mais rá<span class="_1 blank"></span>pida nessa questão seria obser<span class="_5 blank"> </span>var que, </span></div><div class="t m0 xa hc y307 ff9 fs8 fc0 sc0 ls6 ws177">se o móvel sa<span class="_1 blank"></span>i do repouso, s<span class="_1 blank"></span>ua velocidade inicial é nula (o que só </div><div class="t m0 xa hc y308 ff9 fs8 fc0 sc0 ls6 ws4">acon<span class="_1 blank"></span>tece na alternativa B).</div><div class="t m0 xa hc y309 ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0"> <span class="ff11 ws91">(UFR<span class="_1 blank"></span>GS)<span class="ff9 ws4"> <span class="ff11">L<span class="_5 blank"> </span>etra C.</span></span></span></span></div><div class="t m0 xa hc y30a ff9 fs8 fc0 sc0 ls6 ws40">Como a trajetó<span class="_1 blank"></span>ria é retilínea, a aceleração restringe-se à compon<span class="_1 blank"></span>ente </div><div class="t m0 xa hc y30b ff9 fs8 fc0 sc0 ls0 ws4c">tangencial (</div><div class="c x4c y30c w1e h8d"><div class="t m0 xa0 h8e y30d ff4e fs8 fc0 sc0 ls0">\uf076</div><div class="t m0 xa0 he y30e ffb fs8 fc0 sc0 ls0">a</div><div class="t m0 x7b h2e y30f ffb fs10 fc0 sc0 ls0">t</div></div><div class="t m0 x5d hc y310 ff9 fs8 fc0 sc0 ls0 ws4c">), que, em módulo<span class="_0 blank"></span>, é igu<span class="_5 blank"> </span>al à aceleração escalar (<span class="ffb">a</span><span class="ws4">), </span></div><div class="t m0 xa h1c y311 ff9 fs8 fc0 sc0 ls0 ws178">dada pela taxa de variação da velocidade (<span class="ff12 ws21 v0">\u0394<span class="ffb">v</span></span><span class="v0">) em relação ao tempo </span></div><div class="t m0 xa h14 y312 ff9 fs8 fc0 sc0 ls100">(<span class="ff12 ls0 ws21">\u0394<span class="ffb">t</span></span><span class="ls0">).</span></div><div class="t m0 xa hc y313 ffb fs8 fc0 sc0 ls0">a<span class="ff9 ws4"> = </span></div><div class="c xd0 y314 w1f h24"><div class="t m0 x0 h17 y315 ff4f fs8 fc0 sc0 ls0">\u2206</div></div><div class="t m0 xb h17 y316 ff4f fs8 fc0 sc0 ls0">\u2206</div><div class="c xd0 y314 w1f h24"><div class="t m0 xce he y315 ff50 fs8 fc0 sc0 ls0">v</div><div class="t m0 xce he y317 ff50 fs8 fc0 sc0 ls0">t</div></div><div class="t m0 x50 hc y318 ff9 fs8 fc0 sc0 ls0 ws4">. U<span class="_0 blank"></span>sando essa expressão em cada um dos int<span class="_1 blank"></span>er<span class="_5 blank"> </span>valos:</div><div class="t m0 xa hc y319 ff9 fs8 fc0 sc0 ls0 ws4">I. <span class="_5b blank"> </span><span class="ffb ws13">a</span><span class="fsc ws14 v2">I</span> = </div><div class="c xd1 y31a w20 h18"><div class="t m0 xa0 hc y31b ff9 fs8 fc0 sc0 ls1 ws9c">40 <span class="ls0">0</span></div><div class="t m0 xcc hc y31c ff9 fs8 fc0 sc0 ls160">40</div><div class="t m0 xd2 h14 y31b ff12 fs8 fc0 sc0 ls0">\u2212</div><div class="t m0 xae h14 y31c ff12 fs8 fc0 sc0 ls0">\u2212</div></div><div class="t m0 xd3 h14 y319 ff9 fs8 fc0 sc0 ls0 ws4"> <span class="ff12">\u21d2</span> <span class="ffb ws13">a</span><span class="fsc ws14 v2">I</span> = 10 m/s<span class="fsc ws14 v3">2</span>.</div><div class="t m0 xa hc y31d ff9 fs8 fc0 sc0 ls0 ws4">II. <span class="_1f blank"> </span><span class="ffb ws13">a</span><span class="fsc ws14 v2">II</span> = 0 (não houve va<span class="_1 blank"></span>riação d<span class="_5 blank"> </span>a velocidade).</div><div class="t m0 xa hc y31e ff9 fs8 fc0 sc0 ls0 ws4">III. <span class="_5c blank"> </span><span class="ffb ws13">a</span><span class="fsc ws14 v2">III</span> =</div><div class="c x97 y31f w21 h18"><div class="t m0 xa0 hc y320 ff9 fs8 fc0 sc0 ls161 ws135">04<span class="_34 blank"></span><span class="ls0">0</span></div><div class="t m0 xa0 hc y321 ff9 fs8 fc0 sc0 ls1 ws136">14 <span class="ls0">6</span></div><div class="t m0 x77 hc y320 ff9 fs8 fc0 sc0 ls1">40</div><div class="t m0 x17 hc y321 ff9 fs8 fc0 sc0 ls0">8</div><div class="t m0 xd4 h26 y320 ff51 fs8 fc0 sc0 ls0">\ue01f</div></div><div class="t m0 x4d h2f y322 ff51 fs8 fc0 sc0 ls101">\ue01f<span class="ls0 v7">\ue01e</span></div><div class="c x97 y31f w21 h18"><div class="t m0 x1b h26 y320 ff51 fs8 fc0 sc0 ls0">\ue01f</div></div><div class="t m0 xd5 h14 y31e ff9 fs8 fc0 sc0 ls0 ws4"> <span class="ff12">\u21d2</span> <span class="ffb ws13">a</span><span class="fsc ws14 v2">III</span> = \u20135 m/s<span class="fsc ws14 v3">2</span>.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg8.png"><div class="t m0 x49 h11 y4a ffe fs6 fc1 sc0 ls0">8</div><div class="t m0 x2d h12 y4b ff2e fsa fc3 sc0 ls0 ws4">1ª Série</div><div class="t m0 x60 h11 yc6 ff2f fs6 fc4 sc0 ls3a ws68">LIVRO DO<span class="_1 blank"></span> PROFESSOR</div><div class="t m0 x60 h20 yc7 ff30 fse fc3 sc0 ls0 ws4">Física I</div><div class="t m0 x10 h13 y10e ff10 fsb fc3 sc0 ls29 ws23">Exercícios con<span class="_1 blank"></span>textuali<span class="_1 blank"></span>z<span class="_5 blank"> </span>ados</div><div class="t m0 x10 hc y10f ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11 ws91">(UFS<span class="_1 blank"></span>M)<span class="ff9 ws4"> </span><span class="ls6 wsa">L<span class="_5 blank"> </span>e<span class="_5 blank"> </span>tra B.</span></span></span></div><div class="t m0 x10 hc y323 ff9 fs8 fc0 sc0 ls2b ws32">A<span class="_1 blank"></span>té aciona<span class="_1 blank"></span>r os freios, a velocidade per<span class="_5 blank"> </span>manece con<span class="_1 blank"></span>stante<span class="_1 blank"></span>. C<span class="_5 blank"> </span>omo a </div><div class="t m0 x10 hc y324 ff9 fs8 fc0 sc0 ls18a wse">aceleração é consta<span class="_1 blank"></span>nte, a ve<span class="_1 blank"></span>locidade de<span class="_5 blank"> </span>cresce linearmen<span class="_1 blank"></span>te com o tem<span class="_1 blank"></span>po.</div><div class="t m0 x10 h44 y325 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="fc0"> (UFPR \u2013 adap<span class="_1 blank"></span>tada) L<span class="_5 blank"> </span>etra B.</span></div><div class="t m0 x10 hc y326 ff9 fs8 fc0 sc0 ls0 ws1b4">O grá\ue01fco suger<span class="_1 blank"></span>e movimen<span class="_1 blank"></span>to progres<span class="_1 blank"></span>sivo acelerado (corrida para </div><div class="t m0 x10 hc y327 ff9 fs8 fc0 sc0 ls0 wse8">pegar o ônib<span class="_1 blank"></span>us); repouso (espera no ponto); m<span class="_1 blank"></span>oviment<span class="_1 blank"></span>o uniforme </div><div class="t m0 x10 hc y328 ff9 fs8 fc0 sc0 ls18b ws8">regres<span class="_1 blank"></span>sivo (vol<span class="_1 blank"></span>ta para casa); novo r<span class="_1 blank"></span>epouso (espera pelo táxi) e, </div><div class="t m0 x10 hc y329 ff9 fs8 fc0 sc0 ls36 wse">\ue01fnalment<span class="_1 blank"></span>e, movimen<span class="_1 blank"></span>to progr<span class="_1 blank"></span>essivo unifo<span class="_1 blank"></span>rme (moviment<span class="_1 blank"></span>o do táxi).</div><div class="t m0 x10 hc y32a ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0"> <span class="ff11">(ENEM) Letra C.</span></span></div><div class="t m0 x10 h14 y32b ff9 fs8 fc0 sc0 ls51 ws8">Primeiro tr<span class="_1 blank"></span>echo: movimen<span class="_1 blank"></span>to acelerado (<span class="ffb">a</span> > 0) <span class="ff12">\u2192</span> o grá\ue01fco da </div><div class="t m0 x10 hc y32c ff9 fs8 fc0 sc0 ls2b ws35">posição em função do tempo é uma cur<span class="_5 blank"> </span>va de concavidade para cima.</div><div class="t m0 x10 h14 y32d ff9 fs8 fc0 sc0 ls21 ws32">Segundo trecho: movimen<span class="_1 blank"></span>to uniforme (<span class="ffb">a</span> = 0) <span class="ff12 ls18c ws2f">\u2192 <span class="_5a blank"> </span></span>o grá\ue01fco da </div><div class="t m0 x10 hc y32e ff9 fs8 fc0 sc0 ls0 ws4">posição em função do tempo é um segmento de r<span class="_1 blank"></span>eta crescente.</div><div class="t m0 x10 h14 y32f ff9 fs8 fc0 sc0 ls0 ws4a">T<span class="_3 blank"></span>erceiro trech<span class="_1 blank"></span>o: movimen<span class="_1 blank"></span>to desacelerado (<span class="ffb">a</span> < 0) <span class="ff12">\u2192</span> o grá\ue01fco da </div><div class="t m0 x10 hc y330 ff9 fs8 fc0 sc0 ls0 ws1b5">posição em função do tempo é uma cur<span class="_5 blank"> </span>va de conca<span class="_1 blank"></span>vidade para </div><div class="t m0 x10 hc y331 ff9 fs8 fc0 sc0 ls0 ws4">baixo<span class="_1 blank"></span>. </div><div class="t m0 x10 hc y332 ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11">(ENEM)</span> <span class="ff11 ls62 ws6d">L<span class="_5 blank"> </span>e<span class="_5 blank"> </span>t<span class="_5 blank"> </span>r<span class="_5 blank"> </span>a<span class="_5 blank"> </span> D.</span></span></div><div class="t m0 x10 hc y333 ff9 fs8 fc0 sc0 ls0 ws1b6">P<span class="_1 blank"></span>elo grá\ue01fco<span class="_1 blank"></span>, percebe-se que o motorista im<span class="_1 blank"></span>prudente é o co<span class="_1 blank"></span>nduto<span class="_1 blank"></span>r </div><div class="t m0 x10 hc y334 ff9 fs8 fc0 sc0 ls38 wse">do veículo <span class="ffb ls0 ws13">A</span>, que recebe acelerações e desacelerações mais bruscas.</div><div class="t m0 x10 hc y335 ff9 fs8 fc0 sc0 ls0 ws4">De 10<span class="ffb"> </span>s<span class="ffb"> </span>a 20 s: |<span class="ffb ws13">a</span><span class="fsc ws14 v2">(I)</span><span class="v0">| =</span></div><div class="c xd6 y336 w22 h8f"><div class="t m0 xa0 hc y337 ff9 fs8 fc0 sc0 ls1 ws17a">30 10</div><div class="t m0 xa0 hc y338 ff9 fs8 fc0 sc0 ls1 ws17a">20 10</div><div class="t m0 x76 hc y337 ff9 fs8 fc0 sc0 ls1">20</div><div class="t m0 x76 hc y338 ff9 fs8 fc0 sc0 ls1">10</div><div class="t m0 xd2 h26 y337 ff52 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 xd2 h26 y338 ff52 fs8 fc0 sc0 ls0">\ue01f</div></div><div class="t m0 x62 h90 y339 ff52 fs8 fc0 sc0 ls162">\ue01e<span class="ff9 ls0 ws4 vf"> <span class="ff12">\u21d2</span> |<span class="ffb ws13">a</span><span class="fsc ws14 v2">(I)</span>| = 2,0 m/s<span class="fsc lsc v3">2</span>.</span></div><div class="t m0 x10 h91 y33a ff9 fs8 fc0 sc0 ls0 ws4">De 30 s<span class="ffb"> </span>a 40 s: <span class="ffb ws13">a</span><span class="fsc ws14 v2">(II)</span><span class="v0"> =<span class="_56 blank"> </span><span class="ls18d ws17b v4">03<span class="_5d blank"></span><span class="ls0">0</span></span></span></div><div class="t m0 xa9 hc y33b ff9 fs8 fc0 sc0 ls1 ws9c">40 30</div><div class="t m0 xd7 hc y33c ff9 fs8 fc0 sc0 ls1">30</div><div class="t m0 x65 hc y33b ff9 fs8 fc0 sc0 ls1">10</div><div class="t m0 x6 h26 y33c ff53 fs8 fc0 sc0 ls0">\ue01f</div><div class="t m0 xbb h92 y33b ff53 fs8 fc0 sc0 ls163">\ue01f<span class="ls164 v7">\ue01e</span><span class="ls165 vc">\ue01f</span><span class="ff9 ls0 ws4 v7"> <span class="ff12">\u21d2</span> <span class="ffb ws13">a</span><span class="fsc ws14 v2">(II)</span> = 3,0 m/s<span class="fsc lsc v3">2</span>.</span></div><div class="t m0 x10 h93 y33d ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0 v0"> <span class="ff11">(PUC-Minas)</span> <span class="ff11">Letra C.</span></span></div><div class="t m0 x10 hc y33e ff9 fs8 fc0 sc0 ls2 ws8">O enunciado ma<span class="_1 blank"></span>nda considerar<span class="_1 blank"></span> o movimen<span class="_1 blank"></span>to uniformemen<span class="_1 blank"></span>te </div><div class="t m0 x10 hc y33f ff9 fs8 fc0 sc0 ls0 ws49">variado<span class="_1 blank"></span>, no caso, reta<span class="_1 blank"></span>rdado. A função ho<span class="_1 blank"></span>rária da velocidade para o </div><div class="t m0 x10 hc y340 ff9 fs8 fc0 sc0 ls0 ws176">MUV é <span class="ffb">v</span> = <span class="ffb ws13">v</span><span class="fsc lsc v2">0</span> + <span class="ffb ls2a ws17c">at</span>. S<span class="_5 blank"> </span>endo uma função do primeir<span class="_1 blank"></span>o grau, o grá\ue01fco é </div><div class="t m0 x10 hc y341 ff9 fs8 fc0 sc0 ls6 wse">uma reta decrescen<span class="_1 blank"></span>te, pois o mód<span class="_1 blank"></span>ulo da velocidade está diminuindo<span class="_1 blank"></span>.</div><div class="t m0 x10 hc y342 ff11 fs8 fc1 sc0 ls35 ws4"> 06 <span class="ff9 fc0 ls166"> </span><span class="fc0">(UERJ)<span class="ff9 ls0"> <span class="_1 blank"></span><span class="ff11">L<span class="_5 blank"> </span>etra C.</span></span></span></div><div class="t m0 x10 hc y343 ff9 fs8 fc0 sc0 ls0 ws1b8">Nos 15 segundos inicia<span class="_1 blank"></span>is, o movimen<span class="_1 blank"></span>to é acelerado e o grá\ue01fco<span class="ffb"> s </span>×<span class="ffb"> t <span class="_9 blank"></span><span class="ws4"> </span></span></div><div class="t m0 x10 hc y344 ff9 fs8 fc0 sc0 ls0 ws1b9">precisa ser uma parábola co<span class="_1 blank"></span>m a concavidade vo<span class="_1 blank"></span>ltada para cima. </div><div class="t m0 x10 hc y345 ff9 fs8 fc0 sc0 ls0 ws1ba">Depois de <span class="ffb ws4">t <span class="_5 blank"> </span></span>segundos, a velocidade é constan<span class="_1 blank"></span>te e o grá\ue01fco<span class="ffb"> s </span>×<span class="ffb"> t </span><span class="ws4">é </span></div><div class="t m0 x10 hc y346 ff9 fs8 fc0 sc0 ls0 ws4">uma reta crescen<span class="_1 blank"></span>te. </div><div class="t m0 x10 hc y347 ff11 fs8 fc1 sc0 ls0 ws4"> 07 <span class="ff9 fc0"> <span class="ff11 ws91">(UNES<span class="_1 blank"></span>P)<span class="ff9 ws4"> </span><span class="ls62 ws6d">L<span class="_a blank"> </span>e<span class="_5 blank"> </span>tr<span class="_a blank"> </span>a D.</span></span></span></div><div class="t m0 x10 h14 y348 ff9 fs8 fc0 sc0 ls2e ws40">Calcu<span class="_5 blank"> </span>lando o deslocamen<span class="_1 blank"></span>to (<span class="ff12 ls0 ws21">\u0394<span class="ffb ws13">x<span class="fsc ws19 v2">A</span></span></span>) do mó<span class="_1 blank"></span>vel <span class="ffb ls0 ws13">A</span> at<span class="_1 blank"></span>é o instante<span class="ffb wse"> t </span>= 15 s:</div><div class="t m0 x12 h1d y349 ff17 fsd fc0 sc0 ls0 ws4">v <span class="ff16 ws1a">(m/<span class="_3 blank"></span>s)</span></div><div class="t m0 xd8 h1d y34a ff17 fsd fc0 sc0 ls0 ws4">t <span class="ff16 ls33">(s)</span></div><div class="t m0 xd9 h1d y34b ff16 fsd fc0 sc0 ls0">5</div><div class="t m0 xc6 h1d y34c ff16 fsd fc0 sc0 ls167">0<span class="ls0 v19">15</span></div><div class="t m0 x6 h1d y34d ff16 fsd fc0 sc0 ls0">10</div><div class="t m0 x10 h1d y34e ff16 fsd fc0 sc0 ls0">10</div><div class="t m0 x10 h14 y34f ff9 fs8 fc0 sc0 ls0 ws4">Da pro<span class="_1 blank"></span>priedade do grá\ue01fco <span class="ff54">v</span> <span class="ff12">×</span> <span class="ff54">t</span>:</div><div class="c x10 y350 w23 h43"><div class="t m0 x0 h26 y351 ff55 fs8 fc0 sc0 ls18e">\u2206\u2206</div></div><div class="t m0 x72 h26 y352 ff55 fs8 fc0 sc0 ls18f ws17d">\u22c5\u21d2<span class="_5e blank"></span><span class="ff56 ls168">x<span class="ff55 ls190 ws17e">\u21d2=<span class="_5f blank"></span><span class="ls169">\u2206<span class="ff56 ls0 wsc">x<span class="_60 blank"></span>x</span></span></span></span></div><div class="c x10 y350 w23 h43"><div class="t m0 xda h2e y353 ff56 fs10 fc0 sc0 ls191">AA</div></div><div class="t m0 xc3 h2e y354 ff56 fs10 fc0 sc0 ls0">A</div><div class="t m0 x12 h26 y352 ff55 fs8 fc0 sc0 ls192">==</div><div class="c x10 y350 w23 h43"><div class="t m0 xdb h26 y355 ff55 fs8 fc0 sc0 ls0">+</div></div><div class="t m0 x93 h26 y352 ff55 fs8 fc0 sc0 ls193 ws17f">=\u22c5<span class="_61 blank"></span><span class="ff57 ls6a">\u201cárea\u201d</span></div><div class="c x10 y350 w23 h43"><div class="t m0 x98 hd y351 ff57 fs8 fc0 sc0 ls0">.</div><div class="t m0 x4b hd y356 ff57 fs8 fc0 sc0 ls1 ws180">15 10</div><div class="t m0 xdb hd y357 ff57 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xb5 hd y352 ff57 fs8 fc0 sc0 ls1 ws181">10<span class="_62 blank"> </span>25 <span class="ls16a">5</span><span class="ws56">125 <span class="ls0">m</span></span></div><div class="t m0 x10 hc y358 ff9 fs8 fc0 sc0 ls6 ws2a">Calcul<span class="_5 blank"> </span>ando o ins<span class="_1 blank"></span>tante em q<span class="_1 blank"></span>ue a distância entre os m<span class="_1 blank"></span>óveis é igual a </div><div class="t m0 x10 hc y359 ff9 fs8 fc0 sc0 ls0 ws4">332<span class="_1 blank"></span> m, usan<span class="_1 blank"></span>do novamen<span class="_1 blank"></span>te a pr<span class="_1 blank"></span>opriedade ant<span class="_1 blank"></span>erior<span class="_5 blank"> </span>:</div><div class="t m0 x69 h1d y35a ff17 fsd fc0 sc0 ls0 ws4">v <span class="ff16 ws1a">(m/<span class="_3 blank"></span>s)</span></div><div class="t m0 x33 h1d y35b ff17 fsd fc0 sc0 ls0 ws4">t <span class="ff16 ls33">(s)</span></div><div class="t m0 xb5 h1d y35c ff17 fsd fc0 sc0 ls0">t<span class="ff16 ws4"> \u2013 8</span></div><div class="t m0 xbc h1d y35d ff17 fsd fc0 sc0 ls0">t<span class="ff16 ws4"> \u2013 5</span></div><div class="t m0 xaa h1d y35e ff17 fsd fc0 sc0 ls0">t</div><div class="t m0 x10 h1d y35f ff16 fsd fc0 sc0 ls194 ws182">\u20131 0</div><div class="t m0 x1b h1d y360 ff16 fsd fc0 sc0 ls16b">0<span class="fc1 ls16c v11">5</span><span class="fc1 ls0">8</span></div><div class="t m0 xdc h1d y361 ff16 fsd fc0 sc0 ls0">10</div><div class="t m0 x73 h94 y362 ff12 fsd fc0 sc0 ls0 ws183">\u0394<span class="ff17 ws184">x<span class="fsf v17">B</span></span></div><div class="t m0 x74 h94 y363 ff12 fsd fc0 sc0 ls0 ws183">\u0394<span class="ff17 ws184">x<span class="fsf v17">A</span></span></div><div class="c x1d y364 w24 h95"><div class="t m0 x0 h26 y365 ff58 fs8 fc0 sc0 ls195">\u2206\u2206</div></div><div class="t m0 xa2 h96 y366 ff59 fs8 fc0 sc0 ls16d">x<span class="ls196 v1">tt</span></div><div class="c x1d y364 w24 h95"><div class="t m0 xb7 he y365 ff59 fs8 fc0 sc0 ls197">tx</div></div><div class="t m0 x9a he y366 ff59 fs8 fc0 sc0 ls0">t</div><div class="c x1d y364 w24 h95"><div class="t m0 xae h2e y367 ff59 fs10 fc0 sc0 ls198">AA</div></div><div class="t m0 x3c h97 y366 ff58 fs8 fc0 sc0 ls16e">=<span class="ls199 v1">+\u2212</span></div><div class="c x1d y364 w24 h95"><div class="t m4 x76 h98 y368 ff58 fs27 fc0 sc0 ls19a">()</div></div><div class="t m0 x47 h26 y366 ff58 fs8 fc0 sc0 ls163">=\u2212</div><div class="t m4 xdd h98 y369 ff58 fs27 fc0 sc0 ls19b">()</div><div class="t m0 x94 h26 y366 ff58 fs8 fc0 sc0 ls19c ws185">\u21d2=<span class="_19 blank"></span><span class="ls0">\u2212</span></div><div class="t m0 xde hd y36a ff5a fs8 fc0 sc0 ls0">5</div><div class="c x1d y364 w24 h95"><div class="t m0 x77 hd y36b ff5a fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x40 hd y366 ff5a fs8 fc0 sc0 ls47 ws186">25 <span class="ls1 ws187">10 25<span class="ls0 ws1f">.<span class="_b blank"></span><span class="ls1 ws4">5 <span class="_1b blank"> </span><span class="ls0"> </span></span></span></span></div><div class="t m0 x1d hc y36c ff9 fs8 fc0 sc0 ls0 ws4">Sendo <span class="ffb ws13">x</span><span class="fsc lsc v2">0</span><span class="ff54 fsf ws188 v1a">A</span> = 0, temos</div><div class="t m0 xa4 h99 y36d ff5b fs28 fc5 sc0 ls16f">0<span class="fs29 ls19d ws189 vd">0 10<span class="_63 blank"> </span>25<span class="_64 blank"> </span>10<span class="_63 blank"> </span>25</span></div><div class="c x1d y36e w25 h9a"><div class="t m0 x13 h9b y36f ffb fs2a fc5 sc0 ls0">A</div></div><div class="t m0 xdf h9c y36d ffb fs28 fc5 sc0 ls19e ws18a">AA A</div><div class="c x1d y36e w25 h9a"><div class="t m0 x0 h9d y370 ffb fs29 fc5 sc0 ls19f ws18b">xx<span class="_6 blank"> </span>x<span class="_65 blank"> </span>t<span class="_66 blank"> </span>x<span class="_6 blank"> </span>t .</div></div><div class="t m0 xe0 h9e y371 ff12 fs29 fc5 sc0 ls1a0 ws18c">=<span class="_1b blank"> </span>+\u0394<span class="_2 blank"> </span>= +<span class="_4a blank"> </span>\u2212<span class="_55 blank"> </span>\u21d2<span class="_63 blank"> </span>=<span class="_22 blank"> </span>\u2212</div><div class="c x1d y372 w26 h9f"><div class="t m0 x0 h26 y373 ff5c fs8 fc0 sc0 ls1a1">\u2206\u2206</div></div><div class="t m0 xdf ha0 y374 ff5d fs8 fc0 sc0 ls170">x<span class="ls196 ws18d v1">tt </span><span class="ls0">t</span></div><div class="c x1d y372 w26 h9f"><div class="t m0 xae h2e y375 ff5d fs10 fc0 sc0 ls1a2">BB</div></div><div class="t m0 x3c ha1 y374 ff5c fs8 fc0 sc0 ls1a3 ws18e">=\u2212 <span class="ls199 v1">+\u2212</span></div><div class="c x1d y372 w26 h9f"><div class="t m4 x12 h98 y376 ff5c fs27 fc0 sc0 ls1a4">()</div></div><div class="t m0 x46 h26 y377 ff5c fs8 fc0 sc0 ls0">\uf8eb</div><div class="c x1d y372 w26 h9f"><div class="t m0 xdc h26 y378 ff5c fs8 fc0 sc0 ls0">\uf8ed</div></div><div class="t m0 x46 h26 y379 ff5c fs8 fc0 sc0 ls0">\uf8ec</div><div class="t m0 x46 h26 y37a ff5c fs8 fc0 sc0 ls0">\uf8ec</div><div class="t m0 xd3 h26 y37b ff5c fs8 fc0 sc0 ls0">\uf8f6</div><div class="c x1d y372 w26 h9f"><div class="t m0 x6c h26 y378 ff5c fs8 fc0 sc0 ls0">\uf8f8</div></div><div class="t m0 xd3 h26 y379 ff5c fs8 fc0 sc0 ls0">\uf8f7</div><div class="t m0 xd3 ha2 y37a ff5c fs8 fc0 sc0 ls171">\uf8f7<span class="ls1a3 ws18f v1b">=\u2212 <span class="ls0">\u2212</span></span></div><div class="t m4 xe1 h98 y37c ff5c fs27 fc0 sc0 ls1a5">()</div><div class="t m0 xd5 h26 y374 ff5d fs8 fc0 sc0 ls1a6 ws190">tx<span class="_67 blank"></span><span class="ff5c ls1a7 ws191">\u21d2=<span class="_68 blank"></span><span class="ls1a8">\u2212+</span></span></div><div class="t m0 x47 hd y37d ff5e fs8 fc0 sc0 ls0">8</div><div class="t m0 x51 ha3 y37e ff5e fs8 fc0 sc0 ls172">2<span class="ls47 ws192 v7">28 </span><span class="ls1 ws193 v7">10 40</span><span class="ls0 ws1f v7">.<span class="_69 blank"></span><span class="ls1 ws2d">5 </span></span></div><div class="t m0 x1d hc y37f ff9 fs8 fc0 sc0 ls0 ws4">Sendo <span class="ffb ws13">x</span><span class="fsc lsc v2">0</span><span class="ff54 fsf ws188 v1a">B</span> = 3 m, temos</div><div class="t m0 xa4 ha4 y380 ff5f fs1d fc5 sc0 ls173">0<span class="fs8 ls1 ws194 vd">3<span class="_6 blank"> </span>10 40<span class="_6a blank"> </span>10 43</span></div><div class="t m0 xcf h6c y381 ffb fs1e fc5 sc0 ls0">B</div><div class="t m0 xdf h6b y380 ffb fs1d fc5 sc0 ls174 ws195">BA B</div><div class="c x1d y382 w27 ha5"><div class="t m0 x0 he y383 ffb fs8 fc5 sc0 ls36 ws196">x x<span class="_6b blank"> </span>Dx<span class="_6c blank"> </span>t<span class="_6d blank"> </span>x<span class="_6e blank"> </span>t<span class="_53 blank"> </span>.</div></div><div class="t m0 xe0 h14 y384 ff12 fs8 fc5 sc0 ls1a9 ws197">=<span class="_6f blank"> </span>+<span class="_7 blank"> </span>=<span class="_42 blank"></span>\u2212<span class="_4d blank"> </span>+\u21d2 =<span class="_2c blank"></span>\u2212<span class="_5c blank"> </span>+</div><div class="t m0 x1d hc y385 ff9 fs8 fc0 sc0 ls0 ws4">No in<span class="_1 blank"></span>stante<span class="ffb"> t</span>,<span class="ffb"> </span>a di<span class="_1 blank"></span>stância entre os mó<span class="_1 blank"></span>veis (<span class="ffb ws13">D<span class="fsc ws19 v2">AB</span></span>) deve ser 332 m.</div><div class="c x1d y386 w28 ha6"><div class="t m0 xa0 he y387 ffb fs8 fc0 sc0 ls1aa ws198">Dx<span class="_70 blank"></span><span class="ls1ab ws199">xt<span class="_1d blank"></span><span class="ls0">t</span></span></div><div class="t m0 xc6 he y388 ffb fs8 fc0 sc0 ls1ac ws19a">tt<span class="_1d blank"></span><span class="ls0">t</span></div></div><div class="t m0 x96 h2e y389 ffb fs10 fc0 sc0 ls1ad ws19b">AB <span class="ls1ae">AB</span></div><div class="c x1d y386 w28 ha6"><div class="t m0 x2e h26 y387 ff60 fs8 fc0 sc0 ls1af ws19c">\ue01f\ue01e<span class="_3 blank"></span><span class="ls1b0 ws19d">\ue01d\ue01f<span class="_4 blank"></span><span class="ls1b1 ws19e">\ue01e\ue01e<span class="_37 blank"></span><span class="ls1b2 ws19f">\ue01e\ue01c <span class="ls0">\ue01d</span></span></span></span></div><div class="t m0 x2d h26 y388 ff60 fs8 fc0 sc0 ls1b3 ws1a0">\ue01f\ue01e<span class="_70 blank"></span>\ue01d\ue01f <span class="ls1b4">\ue01d\ue01f</span></div><div class="t m0 x2a hc y387 ff9 fs8 fc0 sc0 ls1 ws1a1">332 10<span class="_71 blank"> </span>25<span class="_4c blank"> </span>10<span class="_4a blank"> </span>43</div><div class="t m0 xa0 hc y388 ff9 fs8 fc0 sc0 ls1 ws1a2">332 20<span class="_71 blank"> </span>68<span class="_4a blank"> </span>20<span class="_4a blank"> </span>400<span class="_28 blank"> </span>20</div><div class="t m0 xbd hc y387 ff9 fs8 fc0 sc0 ls1b5">()</div><div class="t m0 x53 hc y388 ff9 fs8 fc0 sc0 ls2d">s.</div></div><div class="t m0 x1d hc y38a ff11 fs8 fc1 sc0 ls0 ws4"> 08 <span class="ff9 fc0"> <span class="ff11 ls62 ws6d">L<span class="_5 blank"> </span>e<span class="_5 blank"> </span>t<span class="_5 blank"> </span>r<span class="_5 blank"> </span>a<span class="_5 blank"> </span> D.</span></span></div><div class="t m0 x1d hc y38b ff9 fs8 fc0 sc0 ls0 ws174">O grá\ue01fco mostra um corpo cuja velocidade é diminuída ao lo<span class="_1 blank"></span>ngo </div><div class="t m0 x1d hc y38c ff9 fs8 fc0 sc0 ls0 ws1ce">do tempo e se man<span class="_1 blank"></span>tém cons<span class="_1 blank"></span>tante e igual a 0 em seguida. A única </div><div class="t m0 x1d hc y38d ff9 fs8 fc0 sc0 ls0 ws9d">alterna<span class="_1 blank"></span>tiva que mostra um movimen<span class="_1 blank"></span>to retar<span class="_1 blank"></span>dado é a alternativa D<span class="_0 blank"></span>.</div><div class="t m0 x1d hc y38e ff11 fs8 fc1 sc0 ls0 ws4"> 09 <span class="ff9 fc0"> <span class="ff11 ws91">(UFMG)</span> <span class="ff11">Letra A.</span></span></div><div class="t m0 x1d hc y38f ff9 fs8 fc0 sc0 ls0 ws1cf">Ant<span class="_1 blank"></span>es do instant<span class="_1 blank"></span>e <span class="ffb ls175">t</span><span class="fsc ws14 v2">1</span>, os veículos apresen<span class="_1 blank"></span>tam a mesma velocidade </div><div class="t m0 x1d hc y390 ff9 fs8 fc0 sc0 ls0 ws175">em relação ao solo e, dessa fo<span class="_1 blank"></span>rma, apr<span class="_1 blank"></span>esentam velocidade rela<span class="_1 blank"></span>tiva </div><div class="t m0 x1d hc y391 ff9 fs8 fc0 sc0 ls0 wsc8">nula. I<span class="_1 blank"></span>sso po<span class="_5 blank"> </span>de ser obser<span class="_5 blank"> </span>vado em todas as alterna<span class="_1 blank"></span>tivas. Entre os </div><div class="t m0 x1d hc y392 ff9 fs8 fc0 sc0 ls0 ws4">instan<span class="_1 blank"></span>tes <span class="_a blank"> </span><span class="ffb ws13">t</span><span class="fsc lsc v2">1</span><span class="ws1b5"> e <span class="ffb ws13">t</span><span class="fsc ws14 v2">2</span>, apenas o carro de Fe<span class="_1 blank"></span>lipe está acelerado e, desse </span></div><div class="t m0 x1d hc y393 ff9 fs8 fc0 sc0 ls0 ws1d0">modo, a di<span class="_1 blank"></span>stância entre os ca<span class="_1 blank"></span>rros aumen<span class="_1 blank"></span>ta, o que signi\ue01fca que a </div><div class="t m0 x1d hc y394 ff9 fs8 fc0 sc0 ls0 ws2b">velocidade rela<span class="_1 blank"></span>tiva cresce. Como esse aumen<span class="_1 blank"></span>to é linear<span class="_0 blank"></span>, visto q<span class="_1 blank"></span>ue a </div><div class="t m0 x1d hc y395 ff9 fs8 fc0 sc0 ls34 wse">aceleração é cons<span class="_1 blank"></span>tante, n<span class="_1 blank"></span>esse intervalo entre <span class="ffb ls0 ws13">t</span><span class="fsc ls1b6 ws1d1 v2">1 </span></div><div class="t m0 x8f hc y395 ff9 fs8 fc0 sc0 ls34 ws171">e <span class="_0 blank"></span><span class="ffb ls0 ws13">t<span class="ff9 fsc ws14 v2">2</span><span class="ff9 ls34 wse">, a linha de grá\ue01fco </span></span></div><div class="t m0 x1d hc y396 ff9 fs8 fc0 sc0 ls34 wse">deverá ser retilínea e crescente<span class="_1 blank"></span>. Isso pode ser visto nas opções A e B. </div><div class="t m0 x1d hc y397 ff9 fs8 fc0 sc0 ls0 wse">A partir do instan<span class="_1 blank"></span>te <span class="ffb ws13">t</span><span class="fsc ws14 v2">2</span>, a velocidade do carro de Barrichello começa </div><div class="t m0 x1d hc y398 ff9 fs8 fc0 sc0 ls0 ws1d2">a crescer no mesmo ritmo da v<span class="_1 blank"></span>elocidade do carro de Felipe, de </div><div class="t m0 x1d hc y399 ff9 fs8 fc0 sc0 ls0 ws30">modo que a velocidade rela<span class="_1 blank"></span>tiva se \ue01fxa novamen<span class="_1 blank"></span>te. Dessa forma, a </div><div class="t m0 x1d hc y39a ff9 fs8 fc0 sc0 ls0 ws4">alterna<span class="_1 blank"></span>tiva correta é a A.</div><div class="t m0 x1d hc y39b ff11 fs8 fc1 sc0 ls0 ws4"> 10 <span class="ff9 fc0"> <span class="ff11">(UFF) Letra A.</span></span></div><div class="t m0 x1d hc y39c ff9 fs8 fc0 sc0 ls176 ws32">Nos do<span class="_1 blank"></span>is primeiros segundos, a aceleração é con<span class="_1 blank"></span>stante e vale<span class="_1 blank"></span> </div><div class="t m0 x1e hc y39d ff9 fs8 fc0 sc0 ls1 ws1a1">14 26</div><div class="c x1d y39e w29 ha7"><div class="t m0 xda hc y39f ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xa6 ha8 y3a0 ff9 fs8 fc0 sc0 ls177">6<span class="fs10 ls0 ve">2</span></div><div class="t m0 xa h26 y39d ff61 fs8 fc0 sc0 ls178">\ue01f<span class="ls1a3 ws1a3 v8">\ue01e\ue01d <span class="ff9 ls36">m/</span></span></div><div class="c x1d y39e w29 ha7"><div class="t m0 x6a hc y3a1 ff9 fs8 fc0 sc0 ls1b7">s.</div></div><div class="t m0 x1d hc y3a2 ff9 fs8 fc0 sc0 ls35 ws4">A partir desse instant<span class="_1 blank"></span>e, a velocidade se mantém co<span class="_1 blank"></span>nstant<span class="_1 blank"></span>e (<span class="ffb ls0 ws13">a</span> = 0).</div><div class="t m0 x1d h13 y3a3 ff10 fsb fc3 sc0 ls29 ws23">Exercícios de apr<span class="_1 blank"></span>ofundam<span class="_1 blank"></span>ento</div><div class="t m0 x1d hc y3a4 ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> </span></div><div class="t m0 x1e ha9 y3a5 ffb fs2b fc0 sc0 ls1b8">ss</div><div class="t m0 x1e ha9 y3a6 ffb fs2b fc0 sc0 ls1b9">vv</div><div class="t m0 xdf haa y3a7 ff9 fs2c fc0 sc0 ls1ba">00</div><div class="t m0 xa2 haa y3a8 ff9 fs2c fc0 sc0 ls1bb">00</div><div class="t m0 x96 hab y3a9 ff9 fs2d fc0 sc0 ls1bc">12</div><div class="c x1d y3aa w21 hac"><div class="t m0 xd4 hab y3ab ff9 fs2d fc0 sc0 ls1bd">12</div></div><div class="t m0 xa6 had y3a5 ff9 fs2b fc0 sc0 ls0">0</div><div class="t m0 x3e had y3a6 ff9 fs2b fc0 sc0 ls0">0</div><div class="c x1d y3aa w21 hac"><div class="t m0 x29 hae y3ac ff12 fs2b fc0 sc0 ls0 ws1a4">= =</div></div><div class="t m0 xcd hae y3ad ff12 fs2b fc0 sc0 ls0 ws1a5">=<span class="_6b blank"> </span>= <span class="ff9 fs8 ws4 v15"> </span></div><div class="c xdd y3ae w2a haf"><div class="t m0 x0 h26 y3af ff62 fs8 fc0 sc0 ls0">\u03b1</div></div><div class="t m0 xa5 h26 y3b0 ff62 fs8 fc0 sc0 ls0">\u03b1</div><div class="t m0 xa5 h26 y3b1 ff62 fs8 fc0 sc0 ls0">\u03b1</div><div class="t m0 x44 h26 y3b2 ff62 fs8 fc0 sc0 ls0">=</div><div class="t m0 x87 h26 y3b0 ff62 fs8 fc0 sc0 ls0">=</div><div class="c xdd y3ae w2a haf"><div class="t m0 x60 h26 y3b3 ff62 fs8 fc0 sc0 ls0">\u2212</div></div><div class="t m0 x5b h2f y3b4 ff62 fs8 fc0 sc0 ls179">\u2212<span class="ls0 v7">=</span></div><div class="t m0 x87 hb0 y3b5 ff62 fs8 fc0 sc0 ls17a">=<span class="ls0 v4">\u2212</span></div><div class="t m0 x3a h32 y3b6 ff62 fs8 fc0 sc0 ls161">\u2212<span class="ls0 v7">=</span></div><div class="c xdd y3ae w2a haf"><div class="t m0 x10 h26 y3b7 ff62 fs8 fc0 sc0 ls0">\uf8f1</div></div><div class="t m0 xd5 h26 y3b8 ff62 fs8 fc0 sc0 ls0">\uf8f2</div><div class="t m0 xd5 h26 y3b9 ff62 fs8 fc0 sc0 ls0">\uf8f4</div><div class="t m0 xd5 h26 y3ba ff62 fs8 fc0 sc0 ls0">\uf8f4</div><div class="t m0 xd5 h26 y3bb ff62 fs8 fc0 sc0 ls0">\uf8f3</div><div class="t m0 xd5 h26 y3bc ff62 fs8 fc0 sc0 ls0">\uf8f4</div><div class="t m0 xd5 h26 y3bd ff62 fs8 fc0 sc0 ls0">\uf8f4</div><div class="t m0 xe2 h26 y3be ff62 fs8 fc0 sc0 ls0">\u2206</div><div class="t m0 xe2 h26 y3bf ff62 fs8 fc0 sc0 ls0">\u2206</div><div class="t m0 xe3 he y3be ff63 fs8 fc0 sc0 ls0">v</div><div class="t m0 xe3 he y3bf ff63 fs8 fc0 sc0 ls0">t</div><div class="c xdd y3ae w2a haf"><div class="t m0 x69 he y3b3 ff63 fs8 fc0 sc0 ls1be">vv</div></div><div class="t m0 x22 he y3c0 ff63 fs8 fc0 sc0 ls17b">v<span class="ls0 v16">v</span></div><div class="t m0 x94 h34 y3c1 ff64 fs10 fc0 sc0 ls0">1</div><div class="t m0 x80 h34 y3c2 ff64 fs10 fc0 sc0 ls0">2</div><div class="c xdd y3ae w2a haf"><div class="t m0 xe4 hd y3b3 ff64 fs8 fc0 sc0 ls0">0</div></div><div class="t m0 x21 hd y3b4 ff64 fs8 fc0 sc0 ls160 ws1a6">40 <span class="ls0">4</span></div><div class="t m0 x8c hd y3c3 ff64 fs8 fc0 sc0 ls0">0</div><div class="c xdd y3ae w2a haf"><div class="t m0 xb6 hd y145 ff64 fs8 fc0 sc0 ls160">43</div></div><div class="t m0 x1e hb1 y3c4 ffb fs8 fc0 sc0 ls1bf ws1a7">ss <span class="ls1c0 ws1a8">vt <span class="ls17c v4">t</span><span class="ls17d v1c">s</span><span class="ls1 v1d">vt</span></span></div><div class="t m0 xdd h6a y3c5 ffb fs8 fc0 sc0 ls17e">s<span class="ls1c1 v4">vt</span></div><div class="t m0 xa2 h26 y3c6 ff65 fs8 fc0 sc0 ls1c2 ws1a9">\ue01f\ue01e <span class="ls0">\ue01e</span></div><div class="t m0 x44 h26 y3c7 ff65 fs8 fc0 sc0 ls17f">\ue01f<span class="ls0 v15">\ue01d</span></div><div class="t m0 x44 hb0 y3c8 ff65 fs8 fc0 sc0 ls180">\ue01f<span class="ls0 v4">\ue01c</span></div><div class="t m0 xe5 h26 y3c9 ff65 fs8 fc0 sc0 ls0">\ue01b</div><div class="t m0 xe5 h26 y3ca ff65 fs8 fc0 sc0 ls0">\ue01a</div><div class="t m0 xe5 h26 y3cb ff65 fs8 fc0 sc0 ls0">\ue019</div><div class="t m0 xe5 h26 y3cc ff65 fs8 fc0 sc0 ls0">\ue019</div><div class="t m0 xe5 h26 y3cd ff65 fs8 fc0 sc0 ls0">\ue018</div><div class="t m0 xe5 h26 y3ce ff65 fs8 fc0 sc0 ls0">\ue019</div><div class="t m0 xe5 h26 y3cf ff65 fs8 fc0 sc0 ls0">\ue019</div><div class="t m0 x3c hb2 y3d0 ff9 fs2e fc0 sc0 ls1c3">00</div><div class="t m0 x4d hb2 y3d1 ff9 fs2e fc0 sc0 ls181">2<span class="ls0 v1e">1</span></div><div class="t m0 xe6 hb2 y3d2 ff9 fs2e fc0 sc0 ls0">2</div><div class="t m0 xe7 hb2 y3d3 ff9 fs2e fc0 sc0 ls0">2</div><div class="t m0 x36 hb2 y3d4 ff9 fs2e fc0 sc0 ls0">2</div><div class="t m0 x5a hc y3d5 ff9 fs8 fc0 sc0 ls0">2</div><div class="t m0 xe2 hc y3d6 ff9 fs8 fc0 sc0 ls1c4">42</div><div class="t m0 x85 hc y3d7 ff9 fs8 fc0 sc0 ls0">3</div><div class="c x1d y3d8 w2b hb3"><div class="t m0 x5 hc y3d9 ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x51 h26 y3da ff65 fs8 fc0 sc0 ls0">\ue017</div><div class="c x1d y3d8 w2b hb3"><div class="t m0 x7c hc y3db ff9 fs8 fc0 sc0 ls1c5">()</div></div><div class="t m0 x1e he y3dc ffb fs8 fc0 sc0 ls1c6">ss</div><div class="t m0 x46 he y3dd ffb fs8 fc0 sc0 ls1c1 ws1aa">vt <span class="ls1 ws1ab">vt <span class="ls0 v16">t</span></span></div><div class="t m0 xdf hb2 y3de ff9 fs2e fc0 sc0 ls1c7">21</div><div class="t m0 x4c hb2 y3df ff9 fs2e fc0 sc0 ls1c8">22</div><div class="t m0 xe8 hc y3e0 ff9 fs8 fc0 sc0 ls0">3</div><div class="c x1d y3e1 w2c ha7"><div class="t m0 x11 hc y3e2 ff9 fs8 fc0 sc0 ls1c9">28</div></div><div class="t m0 x88 hb0 y3dc ff9 fs8 fc0 sc0 ls0 ws1f">6<span class="_72 blank"></span><span class="ff66 ls182">\ue01f<span class="ls183 v4">\ue01e</span><span class="ls1ca ws1ac">\ue01f\ue01d<span class="_19 blank"></span><span class="ls0 wsc">\ue01f<span class="_73 blank"></span><span class="ff9 ls184">:<span class="ls1c5 ws1ad v4">() </span><span class="ls2d">s.</span></span></span></span></span></div><div class="t m0 x1d hc y3e3 ff11 fs8 fc1 sc0 ls35 ws4"> 02 <span class="ff9 fc0 ls166"> </span><span class="fc0 ws1ae">(AF<span class="_0 blank"></span>A)<span class="ff9 ls0 ws4"> <span class="_1 blank"></span><span class="ff11 ls62 ws6d">L<span class="_a blank"> </span>e<span class="_5 blank"> </span>t<span class="_5 blank"> </span>r<span class="_5 blank"> </span>a<span class="_5 blank"> </span> D.</span></span></span></div><div class="t m0 x1d hc y3e4 ff11 fs8 fc0 sc0 ls0 ws91">Dados<span class="ff9 ws4">: </span></div><div class="c xb y3e5 w2d hb4"><div class="t m0 x0 he y3e6 ffb fs8 fc0 sc0 ls185">v<span class="fs2f ls0 v1f">b</span></div><div class="t m0 xcc hb2 y3e7 ff9 fs2e fc0 sc0 ls0">0</div></div><div class="t m0 x50 hc y3e4 ff9 fs8 fc0 sc0 ls0 ws4"> = 8 m/s.</div><div class="t m0 x1d hc y3e8 ff9 fs8 fc0 sc0 ls0 ws84">O grá\ue01fco nos mostra que<span class="_1 blank"></span>, no instan<span class="_1 blank"></span>te<span class="ffb"> t </span>= 4<span class="ffb ls186 ws4"> </span>s<span class="ffb ws4">, </span>a partíc<span class="_5 blank"> </span>ula <span class="ffb">b</span> inv<span class="_1 blank"></span>erte </div><div class="t m0 x1d hc y3e9 ff9 fs8 fc0 sc0 ls0 ws44">o sentido de seu movimen<span class="_1 blank"></span>to<span class="_1 blank"></span>, ou seja, sua velocidade se anula nesse </div><div class="t m0 x1d hc y3ea ff9 fs8 fc0 sc0 ls0 ws4">instan<span class="_1 blank"></span>te (<span class="ffb ws13">v<span class="ff10 fsc ls187 v2">b</span></span> = 0).</div><div class="t m0 x1e he y3eb ffb fs8 fc0 sc0 ls1a9 ws1af">vv <span class="ls6a ws1b0">at <span class="ls1cb">aa</span></span></div><div class="t m0 xdf hb5 y3ec ffb fs2e fc0 sc0 ls188">b<span class="fs2f ls0 v1e">b</span></div><div class="t m0 xe0 h26 y3eb ff67 fs8 fc0 sc0 ls1cc ws1b1">\ue01f\ue01e <span class="ls1cd ws1b2">\ue01d\ue01f<span class="_74 blank"></span><span class="ls0">\ue01e</span></span></div><div class="c x1d y3ed w2e hb6"><div class="t m4 x5 h98 y3ee ff67 fs27 fc0 sc0 ls1ce">\ue01c\ue01b</div></div><div class="t m0 x35 h26 y3eb ff67 fs8 fc0 sc0 ls1cf ws1b3">\ue01d\ue01f<span class="_10 blank"></span><span class="ls0">\ue01a</span></div><div class="t m0 xa4 hb7 y3ec ff9 fs2e fc0 sc0 ls189">0<span class="fs8 ls1d0 vd">08</span></div><div class="c x1d y3ed w2e hb6"><div class="t m0 xd6 hc y3ef ff9 fs8 fc0 sc0 ls1d1">42</div></div><div class="t m0 xd1 hc y3eb ff9 fs8 fc0 sc0 ls0 ws30"> <span class="_1b blank"> </span> <span class="_75 blank"> </span> <span class="_1b blank"> </span> <span class="_76 blank"> </span><span class="ls36">m/</span></div><div class="c x1d y3ed w2e hb6"><div class="t m0 x93 hc y3ef ff9 fs8 fc0 sc0 ls1d2">s.</div></div><div class="t m0 xe9 hb2 y3f0 ff9 fs2e fc0 sc0 ls0">2</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bg9.png"><div class="t m0 x26 h11 yc6 ffe fs6 fc4 sc0 ls3a ws68">LIVRO DO<span class="_1 blank"></span> PROFESSOR</div><div class="t m0 x27 h20 yc7 ff8 fse fc3 sc0 ls0 ws4">Física I</div><div class="t m0 xe h11 y4a ffe fs6 fc1 sc0 ls0">9</div><div class="t m0 xe h12 y4b ff1a fsa fc3 sc0 ls0 ws4">1ª Série</div><div class="t m0 x8 hc yc8 ff9 fs8 fc0 sc0 ls35 ws4">Pa<span class="_1 blank"></span>ra o instant<span class="_1 blank"></span>e<span class="ffb"> t </span>= 3 s:</div><div class="c x8 y3f1 w2f hb8"><div class="t m0 x0 he y3f2 ffb fs8 fc0 sc0 ls1e2">vv</div><div class="t m0 xcc h2e y3f3 ffb fs10 fc0 sc0 ls1e3">bb</div><div class="t m0 xae h26 y3f2 ff68 fs8 fc0 sc0 ls1e4">\ue01f\ue01e</div><div class="t m4 x1b h98 y3f4 ff68 fs27 fc0 sc0 ls1e5">\ue01d\ue01c</div><div class="t m0 x15 h26 y3f2 ff68 fs8 fc0 sc0 ls1e6 ws1e8">\ue01b\ue01f<span class="_77 blank"></span><span class="ff9 ls18d ws17b">82<span class="_36 blank"></span><span class="ls1e7 ws1e9">32<span class="_1c blank"></span><span class="ls0 ws30"> <span class="_22 blank"> </span> <span class="_78 blank"> </span><span class="ls2d">m/s.</span></span></span></span></div></div><div class="t m0 x8 hc y3f5 ff9 fs8 fc0 sc0 ls1d4 ws32">Se a reta tangencia a parábola no in<span class="_1 blank"></span>stante<span class="ffb ls1d3"> t </span>= 3 s, as ve<span class="_1 blank"></span>loci<span class="ls0">-</span></div><div class="t m0 x8 hc y3f6 ff9 fs8 fc0 sc0 ls1e8 ws8">dades das duas partículas são iguais nesse instan<span class="_1 blank"></span>te. Então<span class="_0 blank"></span>, </div><div class="c x8 y3f7 w30 hb9"><div class="t m0 x0 he y3f8 ffb fs8 fc0 sc0 ls1e9 ws1ea">tv<span class="_79 blank"></span><span class="ls0">v</span></div><div class="t m0 x77 h2e y3f9 ffb fs10 fc0 sc0 ls1ea">ab</div><div class="t m0 xce h26 y3f8 ff69 fs8 fc0 sc0 ls1eb ws1eb">\ue01f\ue01e<span class="_0 blank"></span><span class="ls1ec ws1ec">\ue01f\ue01f<span class="_7a blank"></span><span class="ff9 ls1ed ws1ed">32<span class="_7b blank"></span><span class="ls1ee ws1ee">sm<span class="_7c blank"></span><span class="ls2e ws18">/s<span class="ls0">.</span></span></span></span></span></div></div><div class="t m0 x8 hc y3fa ff9 fs8 fc0 sc0 ls38 wse">Como o movim<span class="_1 blank"></span>ento da partícula <span class="ffb ls0 ws13">a</span> é uniforme, o es<span class="_1 blank"></span>paço percorrido </div><div class="t m0 x8 hc y3fb ff9 fs8 fc0 sc0 ls0 ws4">por ela at<span class="_1 blank"></span>é<span class="ffb"> t </span>= 4<span class="ffb"> </span>s<span class="ffb"> </span>é </div><div class="c xbc y3fc w31 hba"><div class="t m0 x0 h26 y3fd ff6a fs8 fc0 sc0 ls1ef">\u2206\u2206</div></div><div class="t m0 xea h26 y3fe ff6a fs8 fc0 sc0 ls0 wsc">\u2206<span class="_7d blank"></span><span class="ff6b ls1f0 ws1ef">sv<span class="_34 blank"></span><span class="ls1f1 ws1f0">ts <span class="ls0">s</span></span></span></div><div class="c xbc y3fc w31 hba"><div class="t m0 x2c h2e y3ff ff6b fs10 fc0 sc0 ls1f2 ws1f1">aa <span class="ls1f3">aa</span></div></div><div class="t m0 x64 h26 y3fe ff6a fs8 fc0 sc0 ls1f4 ws1f2">=\u21d2 <span class="ls0">=</span></div><div class="c xbc y3fc w31 hba"><div class="t m4 x2f h98 y400 ff6a fs27 fc0 sc0 ls1ce">()</div></div><div class="t m0 x65 h26 y3fe ff6c fs8 fc0 sc0 ls0 ws4"> <span class="_7e blank"> </span><span class="ff6a ls1f5 ws1f3">\u21d2=<span class="_7f blank"></span><span class="ff6c ls1d5 ws4"> <span class="ls36 ws1f4">m.</span><span class="ls0"> <span class="_80 blank"></span><span class="ls164 ws1f5">24 <span class="ls1c0 ws1f6">80<span class="_38 blank"></span><span class="ls0">,</span></span></span></span></span></span></div><div class="t m0 x7 ha y401 ff7 fs7 fc0 sc0 ls0 ws4">Módulo 9</div><div class="t m0 x8 h13 y402 ff10 fsb fc3 sc0 ls29 ws23">Exercícios concei<span class="_1 blank"></span>tuais </div><div class="t m0 x8 hc y403 ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11">(PUC-RS) Letra E.</span></span></div><div class="t m0 x8 hc y404 ff9 fs8 fc0 sc0 ls0 ws4">O enunciado p<span class="_1 blank"></span>ropõe que <span class="ffb ws13">a<span class="fsc ws19 v2">AB</span></span> = <span class="ffb ws13">a<span class="fsc ls1f6 ws1f7 v2">BC</span></span> = <span class="ffb ws13">a<span class="fsc ws19 v2">CD</span></span> e que <span class="ffb ws13">a<span class="fsc ls1f7 ws1f8 v2">DE</span></span> = 2<span class="ffb ws13">a<span class="fsc ws19 v2">AB</span></span>. </div><div class="t m0 x8 hc y405 ff9 fs8 fc0 sc0 ls0 ws4">Pa<span class="_1 blank"></span>ra o trecho <span class="ffb">AD</span>:</div><div class="c x8 y406 w32 hbb"><div class="t m0 x0 h26 y407 ff6d fs8 fc0 sc0 ls1f8">\ue01f\ue01e</div></div><div class="t m0 xd9 h26 y408 ff6d fs8 fc0 sc0 ls1f9 ws1f9">\ue01d\ue01c <span class="ls1fa ws1fa">\ue01b\ue01e<span class="ls15c ws1fb">\ue01c\ue01d<span class="_c blank"></span><span class="ls1fb ws1fc">\ue01b\ue01e<span class="_81 blank"></span><span class="ff6e ls1fc ws1fd">sv <span class="ls1fd ws1fe">ta<span class="_2b blank"></span><span class="ls1fe ws1ff">ta<span class="_25 blank"></span><span class="ls0">a</span></span></span></span></span></span></span></div><div class="t m0 x4 h34 y409 ff6f fs10 fc0 sc0 ls0">0</div><div class="c x8 y406 w32 hbb"><div class="t m0 x6a h34 y40a ff6f fs10 fc0 sc0 ls1ff">22</div></div><div class="t m0 xc0 h34 y40b ff6f fs10 fc0 sc0 ls0">2</div><div class="c x8 y406 w32 hbb"><div class="t m0 x68 hd y40c ff6f fs8 fc0 sc0 ls0">1</div><div class="t m0 x68 hd y40d ff6f fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x79 hd y408 ff6f fs8 fc0 sc0 ls1d0">90</div><div class="c x8 y406 w32 hbb"><div class="t m0 x78 hd y40c ff6f fs8 fc0 sc0 ls0">1</div><div class="t m0 x78 h25 y40d ff6f fs8 fc0 sc0 ls1d6">2<span class="ls200 v7">32</span></div></div><div class="t m0 x75 hd y408 ff6f fs8 fc0 sc0 ls36">m/</div><div class="c x8 y406 w32 hbb"><div class="t m0 x1c hd y407 ff6f fs8 fc0 sc0 ls1b7">s;</div></div><div class="t m0 x8 h14 y40e ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 ws4"> = </span>v<span class="ff9 fsc ws14 v2">0</span><span class="ff9 ws4"> + </span><span class="ls2a ws200">at</span><span class="ff9 ws4"> <span class="ff12">\u2192</span> </span>v<span class="fsc ws19 v2">D</span><span class="ff9 ws4"> = 0 + 2 · 3 <span class="ff12">\u2192</span> </span>v<span class="fsc ws19 v2">D</span><span class="ff9 ws4"> = 6 m/s.</span></div><div class="t m0 x8 hc y40f ff9 fs8 fc0 sc0 ls0 ws4">Pa<span class="_1 blank"></span>ra o trecho <span class="ffb ls2b ws201">DE</span>:</div><div class="c x8 y410 w33 hbb"><div class="t m0 x0 hbc y411 ff70 fs30 fc0 sc0 ls201">\ue01f\ue01e</div></div><div class="t m0 x2a hbc y412 ff70 fs30 fc0 sc0 ls202 ws202">\ue01d\ue01c <span class="ls203 ws203">\ue01b\ue01f <span class="ls204 ws204">\ue01e\ue01d<span class="_4 blank"></span><span class="ls205 ws205">\ue01c\ue01d<span class="_4 blank"></span><span class="ls206 ws206">\ue01d\ue01b<span class="_34 blank"></span><span class="ls207 ws207">\ue01f\ue01e<span class="_82 blank"></span><span class="ff71 ls205 ws208">sv <span class="ls208 ws209">ta <span class="ls0">s</span></span></span></span></span></span></span></span></div><div class="t m0 x3 hbd y413 ff71 fs31 fc0 sc0 ls209 ws20a">DE DE<span class="_83 blank"></span><span class="ff72 ls1d7">0<span class="ff71 fs30 ls20a vd">ts</span></span></div><div class="t m0 xeb hbe y414 ff72 fs32 fc0 sc0 ls0 ws4">2 2</div><div class="c x8 y410 w33 hbb"><div class="t m0 x68 hbf y415 ff72 fs30 fc0 sc0 ls0">1</div><div class="t m0 x68 hbf y416 ff72 fs30 fc0 sc0 ls0">2</div></div><div class="t m0 xec hbf y412 ff72 fs30 fc0 sc0 ls20b">61</div><div class="c x8 y410 w33 hbb"><div class="t m0 x3 hbf y415 ff72 fs30 fc0 sc0 ls0">1</div><div class="t m0 x3 hbf y416 ff72 fs30 fc0 sc0 ls0">2</div></div><div class="t m0 xc7 hbf y412 ff72 fs30 fc0 sc0 ls20c ws20b">41 <span class="ls20d ws20c">8m<span class="_4 blank"></span><span class="ls0">.</span></span></div><div class="t m0 x8 hc y417 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0"> <span class="ff11">(UFSC) </span>17</span></div><div class="t m0 x8 hc y418 ff9 fs8 fc0 sc0 ls0 ws233">01) <span class="_a blank"> </span>Correta. No grá\ue01fco r<span class="_1 blank"></span>epresentado a seguir<span class="_0 blank"></span>, seja<span class="ffb"> k </span>o coe\ue01fciente </div><div class="t m0 x9 hc y419 ff9 fs8 fc0 sc0 ls0 ws234">angular (declividade) da r<span class="_1 blank"></span>eta se<span class="_5 blank"> </span>can<span class="_1 blank"></span>te à cur<span class="_5 blank"> </span>va entre os ins<span class="_1 blank"></span>tantes </div><div class="t m0 x9 hc y41a ff9 fs8 fc0 sc0 ls0 ws4">0 e <span class="ffb">t</span><span class="ls20e">\u2019.</span></div><div class="t m0 x8 hc y41b ff9 fs8 fc0 sc0 ls0 ws4"> </div><div class="t m0 x2b h1d y41c ff17 fsd fc0 sc0 ls0">x</div><div class="t m0 x61 h1d y41d ff16 fsd fc0 sc0 ls1d8">0<span class="ff17 ls0">t<span class="ff16">\u2019</span></span></div><div class="t m0 x74 h94 y41e ff12 fsd fc0 sc0 ls0 ws183">\u0394<span class="ff17">t</span></div><div class="t m0 x7c h14 y41f ff12 fs8 fc0 sc0 ls0">a</div><div class="t m0 xbd h94 y420 ff12 fsd fc0 sc0 ls0 ws183">\u0394<span class="ff17">x</span></div><div class="t m0 xe4 h1d y421 ff17 fsd fc0 sc0 ls0 ws184">x<span class="ff16 fsf v17">1</span></div><div class="t m0 x4 h1d y41e ff17 fsd fc0 sc0 ls0 ws184">x<span class="ff16 fsf v17">0</span></div><div class="t m0 x8 hc y422 ff9 fs8 fc0 sc0 ls0 ws4"> </div><div class="c x9 y423 w34 hc0"><div class="t m0 x0 hc1 y174 ff73 fs8 fc0 sc0 ls1d9">k<span class="ls20f v4">xx</span></div><div class="t m0 xa8 he y175 ff73 fs8 fc0 sc0 ls0">t</div><div class="t m0 xcb he y176 ff73 fs8 fc0 sc0 ls0">x</div><div class="t m0 xcb he y175 ff73 fs8 fc0 sc0 ls0">t</div></div><div class="t m0 x30 he y424 ff73 fs8 fc0 sc0 ls0">v</div><div class="c x9 y423 w34 hc0"><div class="t m0 xed h2e y425 ff73 fs10 fc0 sc0 ls0">m</div></div><div class="t m0 x4b h26 y424 ff74 fs8 fc0 sc0 ls210">\ue01f\ue01f</div><div class="c x9 y423 w34 hc0"><div class="t m0 x69 h26 y426 ff74 fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x2 h32 y427 ff74 fs8 fc0 sc0 ls1da">\ue01e<span class="ls0 v7">\ue01f</span></div><div class="c x9 y423 w34 hc0"><div class="t m0 xb7 h26 y428 ff74 fs8 fc0 sc0 ls0">\ue01d</div></div><div class="t m0 x6f h32 y427 ff74 fs8 fc0 sc0 ls1db">\ue01d<span class="ls0 wsc v7">\ue01f<span class="_84 blank"></span><span class="ff75 ls30 wsc9">tan <span class="ff74 ls1dc">\ue01c</span><span class="fs10 ls151 v20">10</span></span></span></div><div class="c x9 y423 w34 hc0"><div class="t m0 x6a hd y17a ff75 fs8 fc0 sc0 ls0 wsc">0<span class="_85 blank"></span>\u2019</div></div><div class="t m0 x8 hc y429 ff9 fs8 fc0 sc0 ls0 ws143">02) Falsa. N<span class="_1 blank"></span>o grá\ue01fco D<span class="_1 blank"></span>, no intervalo considerado<span class="_1 blank"></span>, a declividade </div><div class="t m0 x9 hc y42a ff9 fs8 fc0 sc0 ls0 wsf">da reta tangen<span class="_1 blank"></span>te à cur<span class="_5 blank"> </span>va dada está aumen<span class="_1 blank"></span>tando (em módulo); </div><div class="t m0 x9 hc y42b ff9 fs8 fc0 sc0 ls0 ws238">logo<span class="_1 blank"></span>, o módulo da velocidade está aumen<span class="_1 blank"></span>tando<span class="_1 blank"></span>. Po<span class="_1 blank"></span>rt<span class="_5 blank"> </span>an<span class="_1 blank"></span>to<span class="_1 blank"></span>, o </div><div class="t m0 x9 hc y42c ff9 fs8 fc0 sc0 ls0 ws4">movimen<span class="_1 blank"></span>to é acelerado<span class="_1 blank"></span>.</div><div class="t m0 x8 hc y42d ff9 fs8 fc0 sc0 ls0 ws170">04) <span class="_a blank"> </span>Falsa. No in<span class="_1 blank"></span>stante co<span class="_1 blank"></span>nsiderado<span class="_1 blank"></span>, o móvel es<span class="_1 blank"></span>tá em uma posiç<span class="_5 blank"> </span>ão </div><div class="t m0 x9 hc y42e ff9 fs8 fc0 sc0 ls0 ws4">negativa (a<span class="_1 blank"></span>ntes da orig<span class="_1 blank"></span>em).</div><div class="t m0 x8 hc y42f ff9 fs8 fc0 sc0 ls0 ws239">08) Falsa. No in<span class="_1 blank"></span>tervalo considerado, o co<span class="_1 blank"></span>rpo está s<span class="_5 blank"> </span>e deslocando </div><div class="t m0 x9 hc y430 ff9 fs8 fc0 sc0 ls0 ws23a">para posições cada vez mais negativas, a<span class="_1 blank"></span>fastando-se da origem </div><div class="t m0 x9 hc y431 ff9 fs8 fc0 sc0 ls0 ws4">(em movimen<span class="_1 blank"></span>to retrógrado r<span class="_1 blank"></span>etardado).</div><div class="t m0 x8 hc y432 ff9 fs8 fc0 sc0 ls0 ws23b">16) <span class="_5 blank"> </span>C<span class="_5 blank"> </span>orreta. N<span class="_1 blank"></span>esse instan<span class="_1 blank"></span>te, a reta tang<span class="_1 blank"></span>ente à curva é horizontal, </div><div class="t m0 x9 hc y433 ff9 fs8 fc0 sc0 ls0 ws4">tendo declividade (coe\ue01fcient<span class="_1 blank"></span>e angular) nula.</div><div class="t m0 x8 hc y434 ff9 fs8 fc0 sc0 ls2e wse">32) Falsa. Nesse in<span class="_1 blank"></span>ter<span class="_5 blank"> </span>valo, em m<span class="_1 blank"></span>ódulo, o coe\ue01fcient<span class="_1 blank"></span>e angular da reta </div><div class="t m0 x9 hc y435 ff9 fs8 fc0 sc0 ls36 wse">tangen<span class="_1 blank"></span>te está diminuin<span class="_1 blank"></span>do; logo, o m<span class="_1 blank"></span>oviment<span class="_1 blank"></span>o é uniformemen<span class="_1 blank"></span>te </div><div class="t m0 x9 hc y436 ff9 fs8 fc0 sc0 ls0 ws1f">retar<span class="_1 blank"></span>dado.</div><div class="t m0 x8 h19 y437 ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0 v0"> <span class="ff11">(UEPG) </span>14.</span></div><div class="t m0 x8 hc y438 ff9 fs8 fc0 sc0 ls0 ws23c">01) <span class="_5a blank"> </span>Errada. A velocidade inicial é única: é aquela que o corpo tem </div><div class="t m0 x9 hc y439 ff9 fs8 fc0 sc0 ls0 ws4">no instan<span class="_1 blank"></span>te<span class="ffb"> t </span>= 0.</div><div class="t m0 x8 hc y43a ff9 fs8 fc0 sc0 ls0 ws23d">02) Correta. </div><div class="c x7c y43b w35 hc2"><div class="t m0 xc6 h26 y43c ff76 fs8 fc0 sc0 ls211 ws20d">..<span class="_86 blank"></span><span class="ls212 ws20e">v0<span class="_87 blank"></span><span class="ff77 ls213 ws20f">\ue01f\ue01e <span class="ls214 ws210">\ue01f\ue01f<span class="_88 blank"></span><span class="ls215 ws211">\ue01e\ue01d<span class="_3f blank"></span><span class="ls216 ws1dd">\ue01f\ue01e<span class="_89 blank"></span><span class="ff78 ls217 ws212">sv<span class="_1d blank"></span><span class="ls218 ws213">tt <span class="ls0 wsc">s<span class="_7c blank"></span><span class="ff76 ls36">Se</span></span></span></span></span></span></span></span></span></div></div><div class="t m0 x8 hc y43d ff9 fs8 fc0 sc0 ls23 ws32">04)<span class="_1 blank"></span> Correta, se entendermos \u201c<span class="_0 blank"></span>força con<span class="_1 blank"></span>stante<span class="_0 blank"></span>\u201d como \u201c<span class="_0 blank"></span>força de </div><div class="t m0 x9 hc y43e ff9 fs8 fc0 sc0 ls0 ws4">módulo cons<span class="_1 blank"></span>tante<span class="_0 blank"></span>\u201d<span class="_4 blank"></span>.</div><div class="t m0 x8 hc y43f ff9 fs8 fc0 sc0 ls7 ws23e">08)<span class="_5 blank"> </span> <span class="_57 blank"> </span>Correta. V<span class="_3 blank"></span>eja o diagrama a seguir<span class="_0 blank"></span>, ilustrando d<span class="_1 blank"></span>uas situações, com<span class="ls0 ws4"> </span></div><div class="t m0 x9 h19 y440 ffb fs8 fc0 sc0 ls0 ws13">e<span class="ff9 fsc lsc v2">0</span><span class="ff9 ws4 v0"> < 0: </span><span class="v0">v<span class="ff9 fsc ws14 v2">0</span><span class="ff9 ws4"> > 0 e </span>v<span class="ff9 fsc ws14 v2">0</span><span class="ff9 ws4"> < 0.</span></span></div><div class="t m0 xa6 h1d y441 ff17 fsd fc0 sc0 ls0 ws184">v<span class="ff16 fsf ls1dd v17">0</span><span class="v2">v</span></div><div class="t m0 x41 h1d y442 ff16 fsd fc0 sc0 ls0 ws4">0 (orig<span class="_1 blank"></span>em)</div><div class="t m0 xee h1d y443 ff17 fsd fc0 sc0 ls0">a</div><div class="t m0 x40 h1d y444 ff17 fsd fc0 sc0 ls0">a</div><div class="t m0 x80 h1d y445 ff16 fsd fc0 sc0 ls0 ws4">0 (orig<span class="_1 blank"></span>em)</div><div class="t m0 x34 h1d y446 ff17 fsd fc0 sc0 ls0">v</div><div class="t m0 xef h1d y447 ff17 fsd fc0 sc0 ls0">a</div><div class="t m0 x57 h1d y448 ff17 fsd fc0 sc0 ls0">a</div><div class="t m0 x4c h1d y449 ff17 fsd fc0 sc0 ls0 ws184">v<span class="ff16 fsf v17">0</span></div><div class="t m0 xa h1d y44a ff17 fsd fc0 sc0 ls0">v<span class="ff16 ws4"> = 0</span></div><div class="t m0 xa hc y44b ff9 fs8 fc0 sc0 ls0 ws23f">16. <span class="_4d blank"> </span>Errada. N<span class="_1 blank"></span>ada se p<span class="_5 blank"> </span>ode a\ue01frmar sobr<span class="_1 blank"></span>e a trajetória, e a velocidade <span class="_9 blank"></span><span class="ws4"> </span></div><div class="t m0 xb hc y44c ff9 fs8 fc0 sc0 ls0 ws4">é variáve<span class="_1 blank"></span>l.</div><div class="t m0 xa hc y44d ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11">(UEFS) Letra E.</span></span></div><div class="t m0 xa hc y44e ff9 fs8 fc0 sc0 ls0 ws240">Considerando um MUV em todo o tra<span class="_1 blank"></span>jeto, tem<span class="_1 blank"></span>os que, de 0 até </div><div class="t m0 xa hc y44f ff9 fs8 fc0 sc0 ls0">40<span class="ffb ls1de ws4"> </span>s,<span class="ffb ls1de ws4"> </span><span class="ws23d">a velocidade é crescent<span class="_1 blank"></span>e e, no intervalo de 40<span class="ffb ls1de ws4"> </span>s<span class="ffb ls1de ws4"> </span>até 60 s, a </span></div><div class="t m0 xa hc y450 ff9 fs8 fc0 sc0 ls0 ws4d">velocidade é decrescente<span class="_1 blank"></span>. Po<span class="_1 blank"></span>rtanto<span class="_1 blank"></span>, a alternati<span class="_1 blank"></span>va E é a única que </div><div class="t m0 xa hc y451 ff9 fs8 fc0 sc0 ls0 ws4">ap<span class="_1 blank"></span>resenta tal situação<span class="_1 blank"></span>.</div><div class="t m0 xa hc y452 ff9 fs8 fc0 sc0 ls0 ws241">Pa<span class="_1 blank"></span>ra veri\ue01fcar a validade dessa alternativa, podemos calcular a área </div><div class="t m0 xa hc y453 ff9 fs8 fc0 sc0 ls0 ws137">do grá\ue01fco <span class="ffb">v</span> ×<span class="ffb"> t </span>e concl<span class="_1 blank"></span>uir que é o mesmo valor de deslocamen<span class="_1 blank"></span>to </div><div class="t m0 xa hc y454 ff9 fs8 fc0 sc0 ls0 ws4">do grá\ue01fco mencion<span class="_1 blank"></span>ado. </div><div class="t m0 xa h44 y455 ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="fc0 ws242"> L<span class="_5 blank"> </span>etra E.</span></div><div class="t m0 xa hc y456 ff9 fs8 fc0 sc0 ls0 ws4">I. <span class="_5b blank"> </span>V<span class="_3 blank"></span>erdadeira. O grá\ue01fco caracteriza um MUV<span class="_4 blank"></span>. Logo, </div><div class="t m0 xa hc y457 ff9 fs8 fc0 sc0 ls0 ws4"> </div><div class="c xb y458 w36 hc3"><div class="t m0 x0 he y459 ffb fs8 fc0 sc0 ls1bf">ss</div></div><div class="t m0 x9e h6a y45a ffb fs8 fc0 sc0 ls219 ws3f">vt <span class="ls6a ws214 v4">at </span><span class="ls21a">st</span></div><div class="t m0 x8b he y45b ffb fs8 fc0 sc0 ls0">t</div><div class="c xb y458 w36 hc3"><div class="t m0 xec he y459 ffb fs8 fc0 sc0 ls21a">st</div></div><div class="t m0 x23 h26 y45a ffb fs8 fc0 sc0 ls0 ws13">t<span class="_8a blank"></span><span class="ff79 ls21b ws215">\ue01f\ue01e <span class="ls21c ws216">\ue01e\ue01d<span class="_38 blank"></span><span class="ls21d ws2d">\ue01f\ue01e <span class="ls21c ws216">\ue01c\ue01d<span class="_38 blank"></span><span class="ls21d ws2d">\ue01f\ue01e <span class="ls0">\ue01c</span></span></span></span></span></span></div><div class="t m0 xd1 h47 y45c ff9 fs10 fc0 sc0 ls21e">00</div><div class="t m0 xe2 h47 y45d ff9 fs10 fc0 sc0 ls21f">22</div><div class="t m0 xf0 h47 y45e ff9 fs10 fc0 sc0 ls0">2</div><div class="c xb y458 w36 hc3"><div class="t m0 xb6 hc y45f ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x34 hc4 y45a ff9 fs8 fc0 sc0 ls18d ws17b">52<span class="_5d blank"></span><span class="ls1a9">0<span class="ls0 v4">4</span></span></div><div class="c xb y458 w36 hc3"><div class="t m0 xb5 hc y45f ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xf1 hc y45a ff9 fs8 fc0 sc0 ls18d">52</div><div class="c xb y458 w36 hc3"><div class="t m0 x70 hc y459 ff9 fs8 fc0 sc0 ls47">02</div></div><div class="t m0 xf2 hc y45a ff9 fs8 fc0 sc0 ls0">.</div><div class="t m0 xa h14 y460 ff9 fs8 fc0 sc0 ls0 ws248">II. V<span class="_3 blank"></span>erdadeira. <span class="_42 blank"></span><span class="ffb ws4">V <span class="ff9">= </span><span class="ws13">v<span class="ff9 fsc ws14 v2">0</span></span><span class="ff9">+ </span><span class="ls2a ws200">at</span><span class="ff9"> <span class="ff12 ws21">\u2192</span> 0 = 20 \u2013 4</span>t<span class="ff9"> <span class="ff12 ws21">\u2192</span> </span> t <span class="ff9">= 5 s.</span></span></div><div class="t m0 xa hc y461 ff9 fs8 fc0 sc0 ls6 ws249">III. V<span class="_3 blank"></span>erdadeira. <span class="_9 blank"></span><span class="ffb wsa">V <span class="ff9">= </span><span class="ls0">v</span></span></div><div class="t m0 xe3 hc5 y462 ff9 fsc fc0 sc0 ls0 ws14">0<span class="fs8 ls6 wsa v3">+ <span class="ffb ls220 ws134">at<span class="ff9 ls0 ws242"> <span class="ff12 ws21">\u2192</span> <span class="ffb ws13">v</span><span class="ls6 ws4"> = 20 \u2013 4 · 8 </span><span class="ff12 ws21">\u2192</span> <span class="ffb ws13">v<span class="_1 blank"></span><span class="ff9 ls6 ws4"> = \u201312 m/s.</span></span></span></span></span></div><div class="t m0 xa hc y463 ff11 fs8 fc1 sc0 ls0 ws4"> 06 <span class="ff9 fc0"> <span class="ff11">(FFC) Letra E.</span></span></div><div class="t m0 xa hc y464 ffb fs8 fc0 sc0 ls0">s<span class="ff9 ws4"> = </span><span class="ws13">s</span><span class="ff9 fsc ws14 v2">0</span><span class="ff9 ws4"> + </span><span class="ws13">v<span class="ff9 fsc lsc v2">0</span>t</span><span class="ff9 ws4"> + 0,5 · </span><span class="ls2a ws97">at</span><span class="ff9 fsc v3">2</span></div><div class="t m0 xa hc y465 ffb fs8 fc0 sc0 ls0">s<span class="ff9 ws4"> = 0 + 2</span>t<span class="ff9 ws4"> + 0,5 · 2 · </span><span class="ws13">t<span class="ff9 fsc v3">2</span></span></div><div class="t m0 xa hc y466 ffb fs8 fc0 sc0 ls0">s<span class="ff9 ws4">\u2019 = 630 \u2013</span><span class="ws4"> t <span class="ff9">\u2013 0,5 · 4 · </span></span><span class="ws13">t<span class="ff9 fsc v3">2</span></span></div><div class="t m0 xa hc y467 ffb fs8 fc0 sc0 ls0">s<span class="ff9 ws4">\u2019 \u2013</span><span class="ws4"> s <span class="ff9">= 300</span></span></div><div class="t m0 xa hc y468 ff9 fs8 fc0 sc0 ls0 ws4">630 \u2013<span class="ffb"> t </span>\u2013 2<span class="ffb ws13">t</span><span class="fsc lsc v3">2</span> \u2013 2<span class="ffb">t</span> \u2013<span class="ffb"> t</span><span class="fsc lsc v3">2</span> = 300</div><div class="t m0 xa hc y469 ff9 fs8 fc0 sc0 ls0">\u20133<span class="ffb ws13">t</span><span class="fsc ws14 v3">2</span><span class="ws4"> \u2013 3<span class="ffb">t</span> + 330 = 0</span></div><div class="t m0 xa hc y46a ffb fs8 fc0 sc0 ls12">t<span class="ff9 fsc lsc v3">2</span><span class="ff9 ls0 ws4"> +<span class="ffb"> t </span>\u2013 110 = 0</span></div><div class="t m0 xa hc y46b ff9 fs8 fc0 sc0 ls0 ws4">\u0394 = 1 + 440 = 441</div><div class="t m0 xcd hb0 y46c ffb fs8 fc0 sc0 ls40">t<span class="ff7a ls1df">\ue01f<span class="ls221 ws217 v4">\ue01e\ue01d </span><span class="ls0">\ue01f</span></span></div><div class="c xa y46d w29 h18"><div class="t m0 x29 hc y46e ff9 fs8 fc0 sc0 ls222">()</div></div><div class="t m0 x4f hc y46f ff9 fs8 fc0 sc0 ls21d ws218">12<span class="_37 blank"></span><span class="ls0">1</span></div><div class="c xa y46d w29 h18"><div class="t m0 x10 hc yfe ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x55 hc y46c ff9 fs8 fc0 sc0 ls1 ws178">10 <span class="ls0">s</span></div><div class="t m0 xa hc y470 ff11 fs8 fc1 sc0 ls0 ws4"> 07 <span class="ff9 fc0"> <span class="ff11">(UFT<span class="_1 blank"></span>M) L<span class="_5 blank"> </span>etra D.</span></span></div><div class="t m0 xa hc y471 ff9 fs8 fc0 sc0 ls0 ws4">Calcul<span class="_5 blank"> </span>ando os deslocamen<span class="_1 blank"></span>tos nos dois p<span class="_1 blank"></span>rimeiros segundos:</div><div class="c xa y472 w37 hc6"><div class="t m0 x0 hd y473 ff7b fs8 fc0 sc0 ls39">De</div></div><div class="t m0 x37 hd y474 ff7b fs8 fc0 sc0 ls223">0a</div><div class="c xa y472 w37 hc6"><div class="t m0 xdc hd y473 ff7b fs8 fc0 sc0 ls224">sm</div><div class="t m0 x0 hd y475 ff7b fs8 fc0 sc0 ls39">De</div></div><div class="t m0 x37 hd y476 ff7b fs8 fc0 sc0 ls223 ws219">0a <span class="ls0">s</span></div><div class="t m0 x50 hd y477 ff7b fs8 fc0 sc0 ls0">1</div><div class="c xa y472 w37 hc6"><div class="t m0 xa7 hd y478 ff7b fs8 fc0 sc0 ls0">1</div></div><div class="t m0 x1f ha3 y479 ff7b fs8 fc0 sc0 ls1e0">2<span class="ls225 v7">41</span></div><div class="c xa y472 w37 hc6"><div class="t m0 xf3 hd y478 ff7b fs8 fc0 sc0 ls0">1</div></div><div class="t m0 x8b ha3 y479 ff7b fs8 fc0 sc0 ls1e1">2<span class="ls226 ws21a v7">21 <span class="ls0">3</span></span></div><div class="t m0 x50 hd y47a ff7b fs8 fc0 sc0 ls0">2</div><div class="t m0 xf4 h34 y47b ff7b fs10 fc0 sc0 ls0">0</div><div class="c xa y472 w37 hc6"><div class="t m0 xd6 h34 y47c ff7b fs10 fc0 sc0 ls227">22</div></div><div class="t m0 xf5 h34 y47d ff7b fs10 fc0 sc0 ls0">0</div><div class="t m0 xe8 h26 y474 ff7c fs8 fc0 sc0 ls228 ws21b">\ue01f\ue01e <span class="ls16d ws21c">\ue01d\ue01c<span class="_4 blank"></span><span class="ls229 ws21d">\ue01b\ue01d<span class="_8 blank"></span><span class="ls22a ws21e">\ue01b\ue01a <span class="ls22b ws21f">\ue01b\ue01b <span class="ls228 ws220">\ue01f\ue01e <span class="ls0">\ue01d</span></span></span></span></span></span></div><div class="t m0 x51 h26 y47e ff7c fs8 fc0 sc0 ls228 ws220">\ue01f\ue01e <span class="ls0">\ue01d</span></div><div class="t m0 xe5 he y474 ff7d fs8 fc0 sc0 ls22c ws221">sv<span class="_42 blank"></span><span class="ls1fd">ta</span></div><div class="c xa y472 w37 hc6"><div class="t m0 x78 he y473 ff7d fs8 fc0 sc0 ls22d">ts</div></div><div class="t m0 xf6 he y476 ff7d fs8 fc0 sc0 ls0">t</div><div class="t m0 x23 hd y477 ff7b fs8 fc0 sc0 ls0">.</div><div class="t m0 xe6 h26 y476 ff7c fs8 fc0 sc0 ls0 wsc">\ue01c<span class="_8b blank"></span><span class="ls74 ws55">\ue01c\ue01b<span class="_d blank"></span><span class="ls22e ws222">\ue01d\ue01b<span class="_3 blank"></span><span class="ls22f ws223">\ue01a\ue01b<span class="_4 blank"></span><span class="ls230 ws224">\ue01b\ue01f<span class="_38 blank"></span><span class="ls1f8">\ue01e\ue01d</span></span></span></span></span></div><div class="t m0 xa5 hd y47f ff7b fs8 fc0 sc0 ls0">1</div><div class="c xa y472 w37 hc6"><div class="t m0 xb0 hd y480 ff7b fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x91 h35 y476 ff7b fs8 fc0 sc0 ls1c4 ws69">42 <span class="ls0 v4">1</span></div><div class="c xa y472 w37 hc6"><div class="t m0 xf7 hd y480 ff7b fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x8f hd y476 ff7b fs8 fc0 sc0 ls231 ws225">22 <span class="ls0">4</span></div><div class="c xa y472 w37 hc6"><div class="t m0 xa9 h34 y481 ff7b fs10 fc0 sc0 ls232">22</div></div><div class="t m0 x88 he y476 ff7d fs8 fc0 sc0 ls233 ws226">at <span class="ls0">s</span></div><div class="c xa y472 w37 hc6"><div class="t m0 xf8 hd y482 ff7b fs8 fc0 sc0 ls36">m.</div></div><div class="t m0 x5d he y476 ff7d fs8 fc0 sc0 ls22c">sv</div><div class="t m0 xa hc y483 ff9 fs8 fc0 sc0 ls0 wscb">Como o movimen<span class="_1 blank"></span>to é retar<span class="_1 blank"></span>dado, a al<span class="_1 blank"></span>ternativa D é a única opção </div><div class="t m0 xa hc y484 ff9 fs8 fc0 sc0 ls0 ws1f">correta.</div><div class="t m0 xa h19 y485 ff11 fs8 fc1 sc0 ls0 ws4"> 08 <span class="ff9 fc0 v0"> <span class="ff11">(UFRRJ) Letra E.</span></span></div><div class="t m0 xa hc y486 ff9 fs8 fc0 sc0 ls0 ws4">(A) <span class="_5 blank"> </span>Falsa. A<span class="_1 blank"></span>s posiçõ<span class="_5 blank"> </span>es iniciais são respectivamen<span class="_1 blank"></span>te 80 m e 10 m.</div><div class="t m0 xa hc y487 ff9 fs8 fc0 sc0 ls0 ws4">(B) <span class="_5a blank"> </span>Falsa. O movimen<span class="_1 blank"></span>to de <span class="ffb">A</span> é retrógrado<span class="_1 blank"></span>.</div><div class="t m0 xa hc y488 ff9 fs8 fc0 sc0 ls0 ws4">(C) <span class="_5 blank"> </span>Falsa. O movimen<span class="_1 blank"></span>to de <span class="ffb">B</span> é uniformemen<span class="_1 blank"></span>te acelerado<span class="_1 blank"></span>.</div><div class="t m0 xa hc y489 ff9 fs8 fc0 sc0 ls0 ws4">(D) F<span class="_1 blank"></span>alsa. O moviment<span class="_1 blank"></span>o de <span class="ffb">A</span> é retrógrado<span class="_1 blank"></span>.</div><div class="t m0 xa hc y48a ff9 fs8 fc0 sc0 ls0 ws12c">(E) V<span class="_3 blank"></span>erdadeira.</div><div class="t m0 xa hc y48b ff11 fs8 fc1 sc0 ls0 ws4"> 09 <span class="ff9 fc0"> <span class="ff11">(UFES) Letra C.</span></span></div><div class="t m0 xa hc y48c ff9 fs8 fc0 sc0 ls0 ws42">O movimen<span class="_1 blank"></span>to é dito acelerado q<span class="_1 blank"></span>uando \u201c<span class="ffb">a</span>\u201d e \u201c<span class="ffb">v</span>\u201d possuem o mesmo </div><div class="t m0 xa hc y48d ff9 fs8 fc0 sc0 ls6 wse">sinal. Caso con<span class="_1 blank"></span>trário, o co<span class="_1 blank"></span>rp<span class="_5 blank"> </span>o estará frean<span class="_1 blank"></span>do. De 0 a<span class="_1 blank"></span>té <span class="ffb ls0">t</span></div><div class="t m0 x9f h48 y48e ff9 fsc fc0 sc0 ls0 ws14">3<span class="fs8 ls2f ws40 v3">, a velocidade </span></div><div class="t m0 xa hc y48f ff9 fs8 fc0 sc0 ls0 ws241">é positiva e, de <span class="ffb ws13">t</span><span class="fsc ws14 v2">4</span><span class="ls7f ws37"> até <span class="ffb ls3e">t</span></span><span class="fsc ws14 v2">7</span>, ela é negativa. N<span class="_1 blank"></span>os trechos em que a função </div><div class="t m0 xa hc y490 ff9 fs8 fc0 sc0 lsca wse">é crescent<span class="_1 blank"></span>e, a aceleração é positiva. Nos tr<span class="_1 blank"></span>echos em que a aceleração </div><div class="t m0 xa hc y491 ff9 fs8 fc0 sc0 ls0 ws4">é decrescente<span class="_1 blank"></span>, ela é negativa.</div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y11 w1 h9" alt="" src="https://files.passeidireto.com/902f671c-1285-4be4-900a-b06aec6b1085/bga.png"><div class="t m0 x49 h11 y4a ffe fs6 fc1 sc0 ls256">10</div><div class="t m0 x2d h12 y4b ff2e fsa fc3 sc0 ls0 ws4">1ª Série</div><div class="t m0 x60 h11 yc6 ff2f fs6 fc4 sc0 ls3a ws68">LIVRO DO<span class="_1 blank"></span> PROFESSOR</div><div class="t m0 x60 h20 yc7 ff30 fse fc3 sc0 ls0 ws4">Física I</div><div class="t m0 x10 h13 y10e ff10 fsb fc3 sc0 ls29 ws23">Exercícios con<span class="_1 blank"></span>textuali<span class="_1 blank"></span>z<span class="_5 blank"> </span>ados</div><div class="t m0 x10 hc y10f ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11">(PUC-Rio) Letr<span class="_5 blank"> </span>a D<span class="_1 blank"></span>.</span></span></div><div class="t m0 x10 hc y323 ffb fs8 fc0 sc0 ls0 ws13">v<span class="ff9 fsc ws14 v2">1</span><span class="ff9 ws4">= 72 km/h = 20 m/s.</span></div><div class="t m0 x10 hc y324 ff9 fs8 fc0 sc0 ls0 ws4">Carro 2 <span class="_6b blank"> </span> <span class="ffb">v</span> = <span class="ffb ws13">v</span><span class="fsc lsc v2">0</span> + <span class="ffb ls2a ws200">at</span> <span class="_8c blank"> </span> 20 = 2 ·<span class="ffb"> t </span> <span class="_6b blank"> </span> <span class="ffb"> t </span>= 10 s.</div><div class="t m0 x10 hc y325 ff11 fs8 fc1 sc0 ls0 ws4"> 02 <span class="ff9 fc0"> <span class="ff11">(UFSCAR) Letra B.</span></span></div><div class="t m0 x10 hc y326 ff9 fs8 fc0 sc0 ls0 wsa">A \ue01fgura abaixo mos<span class="_1 blank"></span>tra a variação da velocidade do c<span class="_5 blank"> </span>aminhão em </div><div class="t m0 x10 hc y327 ff9 fs8 fc0 sc0 ls0 ws4">função do tempo<span class="_1 blank"></span>.</div><div class="t m0 x77 h1d y492 ff17 fsd fc0 sc0 ls0">v<span class="ff16 ws1a">(m/<span class="_3 blank"></span>s)</span></div><div class="t m0 x10 h1d y493 ff17 fsd fc0 sc0 ls234">v<span class="ff16 fsf ls0 v17">0</span></div><div class="t m0 x7c h1d y494 ff16 fsd fc0 sc0 ls235">6<span class="ff17 ls0 v0">t<span class="ff16 ls33">(s)</span></span></div><div class="t m0 x10 hc y495 ff9 fs8 fc0 sc0 ls0 ws4">A área som<span class="_1 blank"></span>breada é igual ao deslocamento<span class="_0 blank"></span>.</div><div class="t m0 xf9 hc y496 ff9 fs8 fc0 sc0 ls0">9</div><div class="c x10 y497 w38 h18"><div class="t m0 x10 hc y498 ff9 fs8 fc0 sc0 ls0">6</div><div class="t m0 x14 hc y499 ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x1 hc y496 ff9 fs8 fc0 sc0 lse2">30</div><div class="t m0 x12 h47 y49a ff9 fs10 fc0 sc0 ls236">0<span class="ls0 v16">0</span></div><div class="t m0 x6b h26 y496 ff7e fs8 fc0 sc0 ls0">\ue01f</div><div class="c x10 y497 w38 h18"><div class="t m0 x13 h26 y498 ff7e fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x4b h26 y496 ff7e fs8 fc0 sc0 ls257">\ue01d\ue01f</div><div class="c x10 y497 w38 h18"><div class="t m0 xfa he y498 ffb fs8 fc0 sc0 ls0">v</div></div><div class="t m0 x71 hc y496 ffb fs8 fc0 sc0 ls237">v<span class="ff9 ls258 ws254">,m<span class="_3b blank"></span><span class="ls2e ws18">/s<span class="ls0">.</span></span></span></div><div class="t m0 x10 hc y49b ff11 fs8 fc1 sc0 ls0 ws4"> 03 <span class="ff9 fc0"> <span class="ff11">(UFPE) Letra C.</span></span></div><div class="t m0 x10 hc y49c ff9 fs8 fc0 sc0 ls0 ws4">Do grá\ue01fco obtém-se <span class="ffb ws13">v</span><span class="fsc ws14 v2">0</span><span class="v0"> = 4,0 m/s.</span></div><div class="c x10 y49d w39 h15"><div class="t m0 x0 h22 y49e ff7f fs8 fc0 sc0 ls238">a<span class="ls0 v4">v</span></div><div class="t m0 x14 he y49f ff7f fs8 fc0 sc0 ls0">t</div></div><div class="t m0 x1b h26 y4a0 ff80 fs8 fc0 sc0 ls0">\ue01f</div><div class="c x10 y49d w39 h15"><div class="t m0 x29 h26 y4a1 ff80 fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x68 h32 y4a2 ff80 fs8 fc0 sc0 ls18d">\ue01e<span class="ls0 v7">\ue01f</span></div><div class="c x10 y49d w39 h15"><div class="t m0 x12 h26 y4a1 ff80 fs8 fc0 sc0 ls0">\ue01d</div></div><div class="t m0 x71 h32 y4a2 ff80 fs8 fc0 sc0 ls239">\ue01d<span class="ls259 v7">\ue01f\ue01f</span></div><div class="c x10 y49d w39 h15"><div class="t m0 x76 hd y4a1 ff81 fs8 fc0 sc0 ls1 ws255">12 <span class="ls0">4</span></div><div class="t m0 x77 hd y15f ff81 fs8 fc0 sc0 ls160">40</div><div class="t m0 x2a hd y4a1 ff81 fs8 fc0 sc0 ls0">8</div><div class="t m0 x2a hd y15f ff81 fs8 fc0 sc0 ls0">4</div></div><div class="t m0 xbc hd y4a0 ff81 fs8 fc0 sc0 ls1c0">20</div><div class="c x10 y49d w39 h15"><div class="t m0 xbc h34 y4a3 ff81 fs10 fc0 sc0 ls0">2</div></div><div class="t m0 xbb hc7 y4a0 ff81 fs8 fc0 sc0 ls258 ws256">,m<span class="_3b blank"></span><span class="ls2e ws257">/s <span class="ff9 ls0 v6">.</span></span></div><div class="t m0 x10 hc y4a4 ff9 fs8 fc0 sc0 ls0 ws4">O deslocament<span class="_1 blank"></span>o é obtido pela expressão</div><div class="c x10 y4a5 w3a hc8"><div class="t m0 x0 h26 y4a6 ff82 fs8 fc0 sc0 ls1f8">\ue01f\ue01e</div></div><div class="t m0 x9 h26 y4a7 ff82 fs8 fc0 sc0 ls1f9 ws258">\ue01d\ue01c <span class="ls22e ws222">\ue01e\ue01d<span class="_0 blank"></span><span class="ls25a ws259">\ue01c\ue01d<span class="_9 blank"></span><span class="ls25b ws25a">\ue01d\ue01e<span class="_8d blank"></span><span class="ff83 ls1fc ws25b">SV <span class="ls1fd ws1fe">ta<span class="_2b blank"></span><span class="ls0">t</span></span></span></span></span></span></div><div class="t m0 x69 h34 y4a8 ff84 fs10 fc0 sc0 ls0">0</div><div class="c x10 y4a5 w3a hc8"><div class="t m0 x6a h34 y4a9 ff84 fs10 fc0 sc0 ls25c">22</div><div class="t m0 x68 hd y184 ff84 fs8 fc0 sc0 ls0">1</div><div class="t m0 x68 hd y186 ff84 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xeb hd y4a7 ff84 fs8 fc0 sc0 ls1c4">47</div><div class="c x10 y4a5 w3a hc8"><div class="t m0 xc5 hd y184 ff84 fs8 fc0 sc0 ls0">1</div><div class="t m0 xc5 hd y186 ff84 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x62 hd y4a7 ff84 fs8 fc0 sc0 ls231 ws25c">27 <span class="ls1">77</span></div><div class="c x10 y4a5 w3a hc8"><div class="t m0 xf7 hd y4a6 ff84 fs8 fc0 sc0 ls0">m</div></div><div class="t m0 xc7 hc y4aa ff9 fs8 fc0 sc0 ls0">.</div><div class="t m0 x10 hc y4ab ff11 fs8 fc1 sc0 ls0 ws4"> 04 <span class="ff9 fc0"> <span class="ff11">(UFSC) Letra D.</span></span></div><div class="t m0 x10 hc y4ac ff9 fs8 fc0 sc0 ls7 ws2ab">A velocidade será máxima quando o carr<span class="_1 blank"></span>o parar exatamen<span class="_1 blank"></span>te no sinal. <span class="_4 blank"></span><span class="ls0 ws4"> </span></div><div class="t m0 x10 hc y4ad ff9 fs8 fc0 sc0 ls0 ws1f">Assim,</div><div class="t m0 x10 he y4ae ffb fs8 fc0 sc0 ls0">v</div><div class="t m0 xdc hc9 y4af ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ls6 ws37 v2"> = <span class="ffb ls0">v</span></span></div><div class="t m0 xa8 h36 y4b0 ff9 fsc fc0 sc0 ls0">0</div><div class="t m0 xb3 h37 y4b1 ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ls6 ws37 v2"> + 2<span class="ffb ls0 ws13">a<span class="ff9 ws1f">\u0394</span>s<span class="_1 blank"></span><span class="ff9 ws25"> <span class="ff12 ws21">\u2192</span><span class="ls6 ws37"> 0 = </span><span class="ffb">v</span></span></span></span></div><div class="t m0 x6 h36 y4b0 ff9 fsc fc0 sc0 ls0">0</div><div class="t m0 x16 h37 y4b1 ff9 fsc fc0 sc0 ls0 ws14">2<span class="fs8 ls6 ws37 v2"> + 2 · (\u201310) · 20 <span class="ff12 ls0 ws21">\u2192<span class="ff9 ws25"> <span class="ffb">v</span></span></span></span></div><div class="t m0 xfb h48 y4b0 ff9 fsc fc0 sc0 ls0 ws14">0<span class="fs8 ls6 ws37 v3"> = 20 m/s = 72 km/h.</span></div><div class="t m0 x10 hc y4b2 ff11 fs8 fc1 sc0 ls0 ws4"> 05 <span class="ff9 fc0"> <span class="ff11 ws91">(MA<span class="_0 blank"></span>CKENZIE)<span class="ff9 ws4"> <span class="ff11">L<span class="_5 blank"> </span>etra A.</span></span></span></span></div><div class="t m0 x10 hc y4b3 ff9 fs8 fc0 sc0 ls4 ws8">Calculemos a aceleração esc<span class="_5 blank"> </span>alar de cada móv<span class="_1 blank"></span>el, lembra<span class="_1 blank"></span>ndo que </div><div class="c x10 y4b4 w3b h43"><div class="t m0 x0 h22 y4a6 ff85 fs8 fc0 sc0 ls238">a<span class="ls0 v4">v</span></div><div class="t m0 x2e he y4b5 ff85 fs8 fc0 sc0 ls0">t</div></div><div class="t m0 x1b h17 y4b6 ff86 fs8 fc0 sc0 ls0">=</div><div class="c x10 y4b4 w3b h43"><div class="t m0 x29 h17 y184 ff86 fs8 fc0 sc0 ls0">\u2206</div></div><div class="t m0 x11 h17 y4b7 ff86 fs8 fc0 sc0 ls0">\u2206</div><div class="c x10 y4b4 w3b h43"><div class="t m0 x49 hd y4a6 ff87 fs8 fc0 sc0 ls0">.</div></div><div class="c x10 y4b8 w3c h18"><div class="t m0 x0 he y4b9 ffb fs8 fc0 sc0 ls25d">aa</div></div><div class="t m0 xdc h47 y4ba ff9 fs10 fc0 sc0 ls25e">12</div><div class="t m0 x68 hc y4bb ff9 fs8 fc0 sc0 ls1 ws25d">45 30</div><div class="c x10 y4b8 w3c h18"><div class="t m0 x2e hc y3e2 ff9 fs8 fc0 sc0 ls1 ws9c">10 <span class="ls0">0</span></div></div><div class="t m0 xf7 hc y4bb ff9 fs8 fc0 sc0 ls1 ws25e">30 10</div><div class="c x10 y4b8 w3c h18"><div class="t m0 x72 hc y3e2 ff9 fs8 fc0 sc0 ls1 ws9c">10 <span class="ls0">0</span></div></div><div class="t m0 x33 h26 y4bc ff9 fs8 fc0 sc0 ls0 ws1f">2<span class="_8e blank"></span><span class="ff88">\ue01f</span></div><div class="c x10 y4b8 w3c h18"><div class="t m0 x10 h26 y4bd ff88 fs8 fc0 sc0 ls0">\ue01e</div><div class="t m0 xf9 h26 y4be ff88 fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x71 h26 y4bc ff88 fs8 fc0 sc0 ls25f">\ue01f\ue01f</div><div class="c x10 y4b8 w3c h18"><div class="t m0 x2 h26 y4bd ff88 fs8 fc0 sc0 ls260 ws25f">\ue01e\ue01e<span class="_3f blank"></span><span class="ls0">\ue01e</span></div><div class="t m0 xbd h26 y4be ff88 fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 xc8 h26 y4bc ff88 fs8 fc0 sc0 ls1a3 ws260">\ue01f\ue01e<span class="_8f blank"></span><span class="ff9 ls1 ws261">1,<span class="ls69 ws50">5m<span class="_9 blank"></span><span class="ls2e">/s</span></span></span></div><div class="c x10 y4b8 w3c h18"><div class="t m0 xa7 hc y4b9 ff9 fs8 fc0 sc0 ls261">em</div></div><div class="t m0 xf8 hc y4bc ff9 fs8 fc0 sc0 ls2e">/s</div><div class="c x10 y4b8 w3c h18"><div class="t m0 x2b h47 y4bf ff9 fs10 fc0 sc0 ls262">22</div></div><div class="t m0 x6e hc y4bb ff9 fs8 fc0 sc0 ls263 ws262">() <span class="ls0 v16">.</span></div><div class="t m0 x10 hc y4c0 ff9 fs8 fc0 sc0 ls23d ws263">Sendo<span class="ffb ws32"> S </span><span class="wsc">= <span class="_5a blank"> </span><span class="ffb ls23a">S</span><span class="fsc ls23b v2">0</span><span class="ws8"> + <span class="ffb ls23c">v</span><span class="fsc ls23b v2">0</span><span class="ffb">t</span> + <span class="ffb ls264 ws1ae">at</span><span class="fsc ls23b v3">2</span>/2 a f<span class="_5 blank"> </span>unção horá<span class="_1 blank"></span>ria do espaço para um </span></span></div><div class="t m0 x10 hc y4c1 ff9 fs8 fc0 sc0 ls0 ws4">MUV<span class="_4 blank"></span>, temos</div><div class="t m0 x10 hc y4c2 ffb fs8 fc0 sc0 ls0 ws13">s<span class="fsc ws19 v2">A</span><span class="ff9 ws2b1"> = </span><span class="ls23e">s</span><span class="ff9 fsc ws14 v2">0</span><span class="fsc ws19 v21">A</span><span class="ff9 ws2b1"> + 30</span>t<span class="ff9 ws2b1"> + 0,75</span><span class="ls23f">t<span class="ff9 fsc lsc v3">2</span></span><span class="ff9 ws2b1"> e </span><span class="ls23e">s</span><span class="fsc ws19 v2">B</span><span class="ff9 ws2b1"> = </span><span class="ls240">s</span><span class="ff9 fsc v2">0<span class="ffb ws19">B</span></span><span class="ff9 ws2b1"> \u2013 10</span>t<span class="ff9 ws2b1"> \u2013 </span><span class="ls241">t</span><span class="ff9 fsc ws14 v3">2</span><span class="ff9 ws2b1">. I<span class="_1 blank"></span>gualando as funções para<span class="ffb ws4"> </span></span></div><div class="t m0 x10 hc y4c3 ffb fs8 fc0 sc0 ls0 ws4">t <span class="ff9">= 10 s e fazendo </span><span class="ws13">s<span class="ff9 fsc v2">0<span class="ffb ws19">A</span></span></span><span class="ff9"> = 0, temos</span></div><div class="t m0 xf9 hc y4c4 ff9 fs8 fc0 sc0 ls1 ws264">30 10<span class="_58 blank"> </span><span class="ls1c0 ws1f6">07<span class="_e blank"></span><span class="ls265 ws265">51<span class="_36 blank"></span><span class="ls266 ws266">01<span class="_90 blank"></span><span class="ls267 ws267">01<span class="_36 blank"></span><span class="ls0">0</span></span></span></span></span></div><div class="t m0 xf9 hc y4c5 ff9 fs8 fc0 sc0 ls1 ws268">375 200<span class="_91 blank"> </span>575</div><div class="t m0 x28 h47 y4c6 ff9 fs10 fc0 sc0 ls242">2<span class="ls243 v8">0</span><span class="ls0">2</span></div><div class="c x10 y4c7 w3d hca"><div class="t m0 x49 h47 y4c8 ff9 fs10 fc0 sc0 ls268">00</div></div><div class="t m0 x77 hc y4c4 ff9 fs8 fc0 sc0 ls269 ws269">() <span class="ls26a">,(</span></div><div class="c x10 y4c7 w3d hca"><div class="t m0 x4b hc y4c9 ff9 fs8 fc0 sc0 ls26b">)(</div></div><div class="t m0 x66 h26 y4c4 ff9 fs8 fc0 sc0 ls0 ws1f">)<span class="_92 blank"></span><span class="ff89 ls26c">\ue01f\ue01e</span></div><div class="c x10 y4c7 w3d hca"><div class="t m0 x28 h26 y4c9 ff89 fs8 fc0 sc0 ls26d">\ue01d\ue01c</div></div><div class="t m0 x68 h26 y4ca ff89 fs8 fc0 sc0 ls26e ws26a">\ue01e\ue01d <span class="ls26f">\ue01c\ue01e</span></div><div class="t m0 x74 he y4cb ffb fs8 fc0 sc0 ls0">s</div><div class="t m0 x69 he y4ca ffb fs8 fc0 sc0 ls270">ss</div><div class="t m0 x16 hcb y4cc ffb fs19 fc0 sc0 ls0">B</div><div class="c x10 y4c7 w3d hca"><div class="t m0 xdc hcb y4cd ffb fs19 fc0 sc0 ls271">BB</div></div><div class="t m0 x62 hc y4ca ff9 fs8 fc0 sc0 ls36">m,</div><div class="t m0 x10 hc y4ce ff9 fs8 fc0 sc0 ls0 ws2ba">que é a distância inicial en<span class="_1 blank"></span>tre os móv<span class="_1 blank"></span>eis, pois supu<span class="_1 blank"></span>semos o móvel </div><div class="t m0 x10 hc y4cf ffb fs8 fc0 sc0 ls0">A<span class="ff9 ws4"> partindo da origem.</span></div><div class="t m0 x10 hc y4d0 ff9 fs8 fc0 sc0 ls264 ws2bb">U<span class="_1 blank"></span>ma solução mai<span class="_1 blank"></span>s simples é usar a p<span class="_1 blank"></span>rop<span class="_1 blank"></span>ried<span class="_5 blank"> </span>ade da \u201c<span class="_0 blank"></span>área<span class="_3 blank"></span>\u201d no grá\ue01fco <span class="ffb ls0 ws13">v</span> × <span class="ffb ls0 ws13">t<span class="_1 blank"></span><span class="ff9 ws4">, <span class="_e blank"></span> </span></span></div><div class="t m0 x10 hc y4d1 ff9 fs8 fc0 sc0 ls0 ws4">calculando os espaços percorridos de 0 a 10<span class="ffb"> </span>s<span class="ffb"> </span>para cada móvel<span class="_1 blank"></span>.</div><div class="t m0 xf9 h26 y4d2 ff8a fs8 fc0 sc0 ls272 ws26b">\ue01f\ue01f<span class="_93 blank"></span><span class="ffb ls273">ss</span></div><div class="t m0 x17 hb5 y4d3 ffb fs2e fc0 sc0 ls274">AB</div><div class="t m0 x68 h97 y4d2 ff8a fs8 fc0 sc0 ls244">\ue01e<span class="ls0 v1">\ue01d</span></div><div class="c x10 y4d4 w3e h58"><div class="t m4 x13 h98 y4d5 ff8a fs27 fc0 sc0 ls275">\ue01c\ue01b</div></div><div class="t m0 xc4 h26 y4d2 ff8a fs8 fc0 sc0 ls276">\ue01e\ue01e</div><div class="t m0 xc9 h26 y4d6 ff8a fs8 fc0 sc0 ls260">\ue01a\ue01a</div><div class="c x10 y4d4 w3e h58"><div class="t m4 xbd h98 y4d5 ff8a fs27 fc0 sc0 ls277">\ue01c\ue01b</div></div><div class="t m0 x67 h26 y4d2 ff8a fs8 fc0 sc0 ls1a3">\ue01e\ue01a</div><div class="t m0 x9 hc y4d6 ff9 fs8 fc0 sc0 ls1 ws26c">45<span class="_52 blank"> </span>30 10</div><div class="c x10 y4d4 w3e h58"><div class="t m0 x68 hc y4d7 ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xd6 hcc y4d2 ff9 fs8 fc0 sc0 ls1 ws26d">375 <span class="ws26c v1">10<span class="_52 blank"> </span>30 100</span></div><div class="c x10 y4d4 w3e h58"><div class="t m0 x1a hc y4d7 ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xc3 hc y4d2 ff9 fs8 fc0 sc0 ls1 ws261">200<span class="_94 blank"></span><span class="ls278 ws26e">me <span class="ls36">m.</span></span></div><div class="t m0 x10 hc y4d8 ff9 fs8 fc0 sc0 ls0 ws4">A distância en<span class="_1 blank"></span>tre eles é, então<span class="_0 blank"></span>, <span class="ffb">d</span> = 375 + 200 = 575 m. </div><div class="t m0 x10 hc y4d9 ff11 fs8 fc1 sc0 ls0 ws4"> 06 <span class="ff9 fc0"> <span class="ff11">(UES<span class="_1 blank"></span>PI) L<span class="_5 blank"> </span>etra D<span class="_1 blank"></span>.</span></span></div><div class="t m0 x10 hc y4da ff9 fs8 fc0 sc0 ls0 ws23a">O prod<span class="_1 blank"></span>uto será positivo quan<span class="_1 blank"></span>do os sinais de \u201c<span class="ffb">a</span>\u201d e \u201c<span class="ffb">v</span>\u201d for<span class="_1 blank"></span>em iguais, </div><div class="t m0 x10 hc y4db ff9 fs8 fc0 sc0 ls0 ws23b">o que caracteriza um mo<span class="_1 blank"></span>vimento acelerado<span class="_0 blank"></span>. C<span class="_5 blank"> </span>aso o produ<span class="_1 blank"></span>to seja </div><div class="t m0 x10 hc y4dc ff9 fs8 fc0 sc0 ls0 ws241">negativ<span class="_1 blank"></span>o, en<span class="_1 blank"></span>tão \u201c<span class="ffb">a</span>\u201d e \u201c<span class="ffb">v</span>\u201d possuem sinais con<span class="_1 blank"></span>trários e o movimen<span class="_1 blank"></span>to </div><div class="t m0 x10 hc y4dd ff9 fs8 fc0 sc0 ls0 ws4">é necessariamen<span class="_1 blank"></span>te retardado<span class="_0 blank"></span>.</div><div class="t m0 x10 hc y4de ff11 fs8 fc1 sc0 ls0 ws4"> 07 <span class="ff9 fc0"> <span class="ff11">(PUC-RS) Letra C.</span></span></div><div class="t m0 x10 hc y4df ff9 fs8 fc0 sc0 ls1 ws8">No<span class="_1 blank"></span>ta-se p<span class="_5 blank"> </span>ela tabela que as variações de velocidade são maio<span class="_1 blank"></span>res </div><div class="t m0 x10 hc y4e0 ff9 fs8 fc0 sc0 ls0 ws2c2">entr<span class="_1 blank"></span>e o início e 3 s<span class="ffb ls245 ws4"> </span>e que, a partir desse instant<span class="_1 blank"></span>e, as variações de </div><div class="t m0 x10 hc y4e1 ff9 fs8 fc0 sc0 ls6 wse">velocidade são menor<span class="_1 blank"></span>es. Isso signi\ue01fca que o t<span class="_1 blank"></span>erreno é mais inc<span class="_1 blank"></span>linado </div><div class="t m0 x10 hc y4e2 ff9 fs8 fc0 sc0 ls34 ws40">inicialmente e depois co<span class="_1 blank"></span>ntinua inc<span class="_1 blank"></span>linado, mas de m<span class="_1 blank"></span>odo mais suave. </div><div class="t m0 x10 hc y4e3 ff9 fs8 fc0 sc0 ls0 ws4">A alterna<span class="_1 blank"></span>tiva C traduz melhor essa r<span class="_1 blank"></span>ealid<span class="_5 blank"> </span>ade. </div><div class="t m0 x1d hc yc8 ff11 fs8 fc1 sc0 ls0 ws4"> 08 <span class="ff9 fc0"> <span class="ff11">(UN<span class="_1 blank"></span>CISAL) L<span class="_5 blank"> </span>etra C.</span></span></div><div class="t m0 x1d hc yc9 ff9 fs8 fc0 sc0 ls0 ws4">O grá\ue01fco a seguir repr<span class="_1 blank"></span>esenta o movimen<span class="_1 blank"></span>to do móv<span class="_1 blank"></span>el:</div><div class="t m0 x1d h1d y4e4 ff17 fsd fc0 sc0 ls0">v<span class="ff16 ws4"> (m/<span class="_3 blank"></span>s)</span></div><div class="t m0 xfc h1d y4e5 ff17 fsd fc0 sc0 ls0">t<span class="ff16 ls33 ws3b"> (s)</span></div><div class="t m0 xa h1d y4e6 ff16 fsd fc0 sc0 ls279">20</div><div class="t m0 x5e h1d y4e7 ff16 fsd fc0 sc0 ls0 ws26f">10<span class="_95 blank"> </span>30 35</div><div class="t m0 x1d hc y4e8 ff9 fs8 fc0 sc0 ls0 ws2c4">A área desse grá\ue01fco é n<span class="_1 blank"></span>umericament<span class="_1 blank"></span>e igual ao deslo<span class="_5 blank"> </span>camen<span class="_1 blank"></span>to nesse </div><div class="t m0 x1d hc y4e9 ff9 fs8 fc0 sc0 ls0 ws4">intervalo de tempo:</div><div class="c x1d y4ea w3f hc8"><div class="t m0 x0 h26 y174 ff8b fs8 fc0 sc0 ls1f8">\ue01f\ue01e</div></div><div class="t m0 xcf h26 y4eb ff8b fs8 fc0 sc0 ls27a ws270">\ue01d\ue01c<span class="ls27b ws271">\ue01d\ue01b<span class="_38 blank"></span><span class="ls1f8">\ue01f\ue01e</span></span></div><div class="c x1d y4ea w3f hc8"><div class="t m0 x7b he y174 ff8c fs8 fc0 sc0 ls27c">ss</div><div class="t m0 x2e hd y176 ff8d fs8 fc0 sc0 ls0">1</div><div class="t m0 x2e hd y175 ff8d fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x38 hd y4eb ff8d fs8 fc0 sc0 ls1 ws272">35<span class="_52 blank"> </span>20 20<span class="_96 blank"> </span>550<span class="_97 blank"></span><span class="ls27d ws273">() <span class="ls36">me</span></span></div><div class="c x1d y4ea w3f hc8"><div class="t m0 x62 hd y174 ff8d fs8 fc0 sc0 ls10">tros.</div></div><div class="t m0 x1d hc y4ec ff11 fs8 fc1 sc0 ls0 ws4"> 09 <span class="ff9 fc0"> <span class="ff11">(UNES<span class="_1 blank"></span>P) L<span class="_5 blank"> </span>etra C.</span></span></div><div class="t m0 x1d hc y4ed ff9 fs8 fc0 sc0 ls0 ws2c6">O movimen<span class="_1 blank"></span>to acelerado nos leva a conc<span class="_1 blank"></span>luir que a sua posição em </div><div class="t m0 x1d hc y4ee ff9 fs8 fc0 sc0 ls0 wsa">função do tempo pr<span class="_1 blank"></span>ecisa ter um aumen<span class="_1 blank"></span>to progr<span class="_1 blank"></span>essivo de desloca-</div><div class="t m0 x1d hc y4ef ff9 fs8 fc0 sc0 ls0 ws4">ment<span class="_1 blank"></span>os (para a direita). </div><div class="t m0 x1d hc y4f0 ff11 fs8 fc1 sc0 ls0 ws4"> 10 <span class="ff9 fc0"> <span class="ff11">(UNES<span class="_1 blank"></span>P) L<span class="_5 blank"> </span>etra C.</span></span></div><div class="t m0 x1d hc y4f1 ff9 fs8 fc0 sc0 ls0 ws2c7">O enunciado nos diz q<span class="_1 blank"></span>ue a coruja passa pelo ponto <span class="ffb">P</span> 4<span class="ffb ls246 ws4"> </span>s<span class="ffb ls247 ws4"> </span>a<span class="_1 blank"></span>pós a </div><div class="t m0 x1d hc y4f2 ff9 fs8 fc0 sc0 ls0 ws4">partida do rato<span class="_1 blank"></span>. Assim, ela terá q<span class="_1 blank"></span>ue cumprir o trajet<span class="_1 blank"></span>o em 2 s.</div><div class="c x1d y4f3 w40 hc8"><div class="t m0 x0 h26 y4a6 ff8e fs8 fc0 sc0 ls1f8">\ue01f\ue01e</div></div><div class="t m0 x38 h26 y4f4 ff8e fs8 fc0 sc0 ls74 ws55">\ue01d\ue01c<span class="_70 blank"></span><span class="ls1da ws274">\ue01b\ue01e<span class="_3 blank"></span><span class="ls27e ws23f">\ue01c\ue01d <span class="ls230 ws224">\ue01c\ue01b<span class="_c blank"></span><span class="ls0 wsc">\ue01e<span class="_98 blank"></span><span class="ff8f ls1fc ws275">sv<span class="_36 blank"></span><span class="ls1fd">ta</span></span></span></span></span></span></div><div class="c x1d y4f3 w40 hc8"><div class="t m0 xb4 he y4a6 ff8f fs8 fc0 sc0 ls27f">ta</div></div><div class="t m0 x81 he y4f4 ff8f fs8 fc0 sc0 ls0">a</div><div class="t m0 xfd h34 y4f5 ff90 fs10 fc0 sc0 ls0">0</div><div class="c x1d y4f3 w40 hc8"><div class="t m0 x60 h34 y4a9 ff90 fs10 fc0 sc0 ls280">22</div></div><div class="t m0 xc h34 y4f6 ff90 fs10 fc0 sc0 ls0">2</div><div class="c x1d y4f3 w40 hc8"><div class="t m0 x77 hd y184 ff90 fs8 fc0 sc0 ls0">1</div><div class="t m0 x77 hd y186 ff90 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x3f hd y4f4 ff90 fs8 fc0 sc0 ls1 ws276">42<span class="_99 blank"> </span>20 <span class="ls0">2</span></div><div class="c x1d y4f3 w40 hc8"><div class="t m0 x72 hd y184 ff90 fs8 fc0 sc0 ls0">1</div><div class="t m0 x72 h25 y186 ff90 fs8 fc0 sc0 ls248">2<span class="ls281 v7">21</span></div></div><div class="t m0 xfe hd y4f4 ff90 fs8 fc0 sc0 lsca wse7">m/s <span class="_0 blank"></span><span class="ls0 ws4"> <span class="_0 blank"></span>.</span></div><div class="t m0 x1d hc y4f7 ff11 fs8 fc1 sc0 ls0 ws4"> 11 <span class="ff9 fc0"> <span class="ff11">(UD<span class="_1 blank"></span>ESC) L<span class="_5 blank"> </span>etra A.</span></span></div><div class="t m0 x1d hc y4f8 ff9 fs8 fc0 sc0 ls30 ws32">Nos do<span class="_1 blank"></span>is primeiros segundos, o mó<span class="_1 blank"></span>vel man<span class="_1 blank"></span>tém o valor da sua </div><div class="t m0 x1d hc y4f9 ff9 fs8 fc0 sc0 ls0 ws4">velocidade e freia, até pa<span class="_1 blank"></span>rar<span class="_0 blank"></span>, nos 5 segundos \ue01fnais. </div><div class="c x1d y4fa w41 hbb"><div class="t m0 x0 h26 y4fb ff91 fs8 fc0 sc0 ls1f8">\ue01f\ue01e</div></div><div class="t m0 x38 h26 y4fc ff91 fs8 fc0 sc0 ls74 ws55">\ue01d\ue01c<span class="_70 blank"></span><span class="ls282 ws277">\ue01b\ue01e<span class="_0 blank"></span><span class="ls283 wse7">\ue01c\ue01d <span class="ls284 ws278">\ue01c\ue01b<span class="_8 blank"></span><span class="ls1a3 ws260">\ue01e\ue01a<span class="_9a blank"></span><span class="ff92 ls1fc ws275">sv<span class="_36 blank"></span><span class="ls1fd ws1fe">ta<span class="_10 blank"></span><span class="ls285 ws279">ta<span class="_9b blank"></span><span class="ls0">a</span></span></span></span></span></span></span></span></div><div class="t m0 xfd h34 y4fd ff93 fs10 fc0 sc0 ls0">0</div><div class="c x1d y4fa w41 hbb"><div class="t m0 x60 h34 y40a ff93 fs10 fc0 sc0 ls286">22</div></div><div class="t m0 x8d h34 y4fe ff93 fs10 fc0 sc0 ls0">2</div><div class="c x1d y4fa w41 hbb"><div class="t m0 x77 hd y40c ff93 fs8 fc0 sc0 ls0">1</div><div class="t m0 x77 hd y40d ff93 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xff hd y4fc ff93 fs8 fc0 sc0 ls1 ws27a">50<span class="_99 blank"> </span>20 <span class="ls0">5</span></div><div class="c x1d y4fa w41 hbb"><div class="t m0 x72 hd y40c ff93 fs8 fc0 sc0 ls0">1</div><div class="t m0 x72 h25 y40d ff93 fs8 fc0 sc0 ls249">2<span class="ls287 v7">54</span></div></div><div class="t m0 xd hd y4fc ff93 fs8 fc0 sc0 ls36">m/</div><div class="c x1d y4fa w41 hbb"><div class="t m0 x33 hd y4fb ff93 fs8 fc0 sc0 ls1b7">s.</div></div><div class="t m0 x1d hc y4ff ff11 fs8 fc1 sc0 ls0 ws4"> 12 <span class="ff9 fc0"> <span class="ff11 ws91">(FUVES<span class="_1 blank"></span>T)<span class="ff9 ws4"> <span class="ff11">L<span class="_5 blank"> </span>etra A.</span></span></span></span></div><div class="t m0 x1d hc y500 ffb fs8 fc0 sc0 ls0">v<span class="ff9 ws4"> = </span><span class="ws13">v<span class="ff9 fsc lsc v2">0</span></span><span class="ff9 ws4"> + </span><span class="ls2a ws200">at</span><span class="ff9 ws4"> = 0 + 2 · 3 = 6 m/s.</span></div><div class="c x1d y501 w42 hbb"><div class="t m0 x0 h26 y502 ff94 fs8 fc0 sc0 ls1f8">\ue01f\ue01e</div></div><div class="t m0 x38 h26 y503 ff94 fs8 fc0 sc0 ls74 ws55">\ue01d\ue01c<span class="_d blank"></span><span class="ls1e4 ws27b">\ue01e\ue01d <span class="ls22b ws18">\ue01c\ue01c <span class="ls228 ws21b">\ue01b\ue01f <span class="ls0 wsc">\ue01e<span class="_8d blank"></span><span class="ff95 ls1fc ws275">sv<span class="_70 blank"></span><span class="ls1fd">ta</span></span></span></span></span></span></div><div class="c x1d y501 w42 hbb"><div class="t m0 xb4 he y502 ff95 fs8 fc0 sc0 ls288">ts</div></div><div class="t m0 xfd h34 y504 ff96 fs10 fc0 sc0 ls0">0</div><div class="t m0 x100 h34 y505 ff96 fs10 fc0 sc0 ls289">22</div><div class="c x1d y501 w42 hbb"><div class="t m0 x77 hd y506 ff96 fs8 fc0 sc0 ls0">1</div><div class="t m0 x77 hd y507 ff96 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xd3 hd y503 ff96 fs8 fc0 sc0 ls0">0</div><div class="c x1d y501 w42 hbb"><div class="t m0 xcb hd y506 ff96 fs8 fc0 sc0 ls0">1</div><div class="t m0 xcb hd y507 ff96 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 xe6 hd y503 ff96 fs8 fc0 sc0 ls231">23</div><div class="c x1d y501 w42 hbb"><div class="t m0 x101 hd y502 ff96 fs8 fc0 sc0 ls28a ws27c">9m<span class="_9 blank"></span><span class="ls0">.</span></div></div><div class="t m0 x1d hc y508 ff11 fs8 fc1 sc0 ls0 ws4"> 13 <span class="ff9 fc0"> <span class="ff11 ws91">(VUNES<span class="_1 blank"></span>P)<span class="ff9 ws4"> </span><span class="ls6 wsa">L<span class="_5 blank"> </span>et<span class="_5 blank"> </span>ra B.</span></span></span></div><div class="t m0 xa6 hcd y509 ff97 fs33 fc0 sc0 ls28b ws27d">as<span class="_9c blank"></span><span class="ff98 ls28c ws27e">\ue01f\ue01e<span class="_9d blank"></span><span class="ff99 ls28d ws27f">20<span class="_9e blank"></span><span class="ff98 ls28e">\ue01d\ue01c</span></span></span></div><div class="c x1d y50a wf hce"><div class="t m0 x0 hcf y50b ff97 fs33 fc0 sc0 ls28f">vv</div></div><div class="t m0 x36 hcf y509 ff97 fs33 fc0 sc0 ls290">aa</div><div class="c x1d y50a wf hce"><div class="t m0 x0 hcf y50c ff97 fs33 fc0 sc0 ls291">vv</div></div><div class="t m0 x46 hcf y50d ff97 fs33 fc0 sc0 ls292">at</div><div class="t m0 x84 hd0 y50e ff99 fs34 fc0 sc0 ls0">2</div><div class="t m0 xa4 hd0 y50f ff99 fs34 fc0 sc0 ls0">0</div><div class="t m0 xcf hd0 y50e ff99 fs34 fc0 sc0 ls293 ws280">22 <span class="ls0">2</span></div><div class="t m0 x3c hd0 y510 ff99 fs34 fc0 sc0 ls0">0</div><div class="t m0 x102 hd1 y509 ff99 fs33 fc0 sc0 ls24b ws281">15 <span class="ls24a">2</span><span class="ws282">20.000 <span class="ls0">.</span></span></div><div class="c x1d y50a wf hce"><div class="t m0 x7d hd1 y511 ff99 fs33 fc0 sc0 ls24b">225</div></div><div class="t m0 x103 hd1 y512 ff99 fs33 fc0 sc0 ls24b">40.000</div><div class="t m0 x51 hd2 y513 ff99 fs33 fc0 sc0 ls294 ws283">01<span class="_5d blank"></span><span class="ls24c">5<span class="ls24b v4">22</span></span></div><div class="t m0 x40 hcd y514 ff98 fs33 fc0 sc0 ls295 ws284">\ue01f\ue01e<span class="_34 blank"></span><span class="ls296 ws285">\ue01b\ue01b <span class="ls297 ws286">\ue01c\ue01f<span class="_3b blank"></span><span class="ls0">\ue01a</span></span></span></div><div class="t m0 xa2 hcd y513 ff98 fs33 fc0 sc0 ls298 ws287">\ue01f\ue01e<span class="_4 blank"></span><span class="ls299 ws288">\ue01c\ue01f <span class="ls0">\ue01a</span></span></div><div class="t m0 x104 hd1 y514 ff99 fs33 fc0 sc0 ls29a ws289">m/<span class="ls0">s</span></div><div class="t m0 xe6 hd1 y515 ff99 fs33 fc0 sc0 ls0 ws28a">5<span class="_1d blank"></span>5</div><div class="c x1d y50a wf hce"><div class="t m0 x2b hd1 y516 ff99 fs33 fc0 sc0 ls24b">40.000</div></div><div class="t m0 x8c hd1 y515 ff99 fs33 fc0 sc0 ls24b">40.000</div><div class="c x1d y50a wf hce"><div class="t m0 xf7 hd1 y516 ff99 fs33 fc0 sc0 ls24b">15</div></div><div class="t m0 xfc hd1 y515 ff99 fs33 fc0 sc0 ls0">1</div><div class="c x1d y50a wf hce"><div class="t m0 xb9 hd1 y516 ff99 fs33 fc0 sc0 ls24b">60</div></div><div class="t m0 x27 hcd y50d ff99 fs33 fc0 sc0 ls24b ws28b">45<span class="_9f blank"></span><span class="ff98 ls29b ws28c">\ue01b\ue01c <span class="ls29c ws28d">\ue01f\ue01b<span class="_88 blank"></span><span class="ls29d ws28e">\ue01c\ue019<span class="_92 blank"></span><span class="ff97 ls29e ws28f">tt <span class="ls24d">t<span class="ff99 ls29f">minu</span></span></span></span></span></span></div><div class="c x1d y50a wf hce"><div class="t m0 x105 hd1 y50c ff99 fs33 fc0 sc0 ls24b">tos.</div></div><div class="t m0 x1d hc y517 ff11 fs8 fc1 sc0 ls0 ws4"> 14 <span class="ff9 fc0"> <span class="ff11">(UERJ) Letra D. </span></span></div><div class="c x1d y518 w43 hd3"><div class="t m0 x0 he y519 ffb fs8 fc0 sc0 ls0">a</div></div><div class="t m0 xa2 h26 y51a ff9a fs8 fc0 sc0 ls0">\ue01f</div><div class="c x1d y518 w43 hd3"><div class="t m0 x29 h26 y51b ff9a fs8 fc0 sc0 ls0">\ue01e</div></div><div class="t m0 x106 h26 y51a ff9a fs8 fc0 sc0 ls2a0 ws290">\ue01f\ue01d<span class="_88 blank"></span><span class="ls0">\ue01c</span></div><div class="t m0 xa3 hc y51c ff9 fs8 fc0 sc0 ls1">80</div><div class="t m0 xfd hc y51d ff9 fs8 fc0 sc0 ls1">10</div><div class="c x1d y518 w43 hd3"><div class="t m0 x2e hc y51e ff9 fs8 fc0 sc0 ls24e">3<span class="ls1">600</span></div></div><div class="t m0 x4d hd4 y51a ff9 fs8 fc0 sc0 ls1 ws1b6">28 800<span class="_99 blank"> </span><span class="ls1c0 ws1e7">29 </span><span class="ws291">10 <span class="fs10 ls0 ve">4</span></span></div><div class="t m0 x46 hc y51f ff9 fs8 fc0 sc0 ls1 ws261">km<span class="ls2e">/h</span></div><div class="t m0 x5e hc y520 ff9 fs8 fc0 sc0 ls0">h</div><div class="c x1d y518 w43 hd3"><div class="t m0 x13 hc y51e ff9 fs8 fc0 sc0 ls0">.</div><div class="t m0 x2a hc y521 ff9 fs8 fc0 sc0 ls2a1">.,</div></div><div class="t m0 x21 hc y51a ff9 fs8 fc0 sc0 ls0">.</div><div class="t m0 x1d h13 y522 ff10 fsb fc3 sc0 ls29 ws23">Exercícios de apr<span class="_1 blank"></span>ofundam<span class="_1 blank"></span>ento</div><div class="t m0 x1d hc y523 ff11 fs8 fc1 sc0 ls0 ws4"> 01 <span class="ff9 fc0"> <span class="ff11 ws91">(UNI<span class="_1 blank"></span>CAMP)</span></span></div><div class="t m0 x1d hc y524 ff9 fs8 fc0 sc0 ls0 ws2d7">a. <span class="_56 blank"> </span>C<span class="_5 blank"> </span>onsidera<span class="_1 blank"></span>ndo-se um MRUV para <span class="ffb">A</span> e <span class="ffb">Z</span> pa<span class="_1 blank"></span>rt<span class="_5 blank"> </span>indo sim<span class="_1 blank"></span>ultane-</div><div class="t m0 xcd hc y525 ff9 fs8 fc0 sc0 ls0 ws1b6">amen<span class="_1 blank"></span>te com origem em <span class="ffb">A</span> e cr<span class="_1 blank"></span>escente no sentido de <span class="ffb">A</span> para <span class="ffb">Z</span><span class="ws4">, </span></div><div class="t m0 xcd hc y526 ff9 fs8 fc0 sc0 ls0 ws4">para o encon<span class="_1 blank"></span>tro<span class="_1 blank"></span>, temos</div><div class="t m0 x1d hd5 y527 ff9 fs8 fc0 sc0 ls24f ws4"> <span class="ffb ls1bf ws292 va">ss <span class="ls179">vt</span></span></div><div class="c xcd y528 w44 hd6"><div class="t m0 xb4 he y529 ffb fs8 fc0 sc0 ls6a">at</div></div><div class="t m0 xa4 h26 y52a ff9b fs8 fc0 sc0 ls21b ws293">\ue01f\ue01e<span class="ls1f9">\ue01d\ue01e</span></div><div class="t m0 x38 h47 y52b ff9 fs10 fc0 sc0 ls21e">00</div><div class="c xcd y528 w44 hd6"><div class="t m0 x4b h47 y52c ff9 fs10 fc0 sc0 ls0">2</div><div class="t m0 x6a h72 y52d ff9 fs8 fc0 sc0 ls250">2<span class="ls0 v7">;</span></div></div><div class="t m0 xe2 hc y527 ff9 fs8 fc0 sc0 ls0 ws4"> </div><div class="c xf6 y528 w45 hd6"><div class="t m0 xa0 he y52e ffb fs8 fc0 sc0 ls2a2">st</div></div><div class="t m0 x107 he y52f ffb fs8 fc0 sc0 ls0">t</div><div class="t m0 xe6 hd7 y530 ffb fs10 fc0 sc0 ls251">A<span class="ff9c fs8 ls1e4 ws294 vd">\ue01f\ue01e<span class="_0 blank"></span><span class="ls1f9 ws295">\ue01d\ue01e<span class="_a0 blank"></span><span class="ff9 ls2a3 ws296">00 <span class="ls0 v4">3</span></span></span></span></div><div class="c xf6 y528 w45 hd6"><div class="t m0 x9 hc y531 ff9 fs8 fc0 sc0 ls0">2</div><div class="t m0 x63 h47 y532 ff9 fs10 fc0 sc0 ls0">2</div></div><div class="t m0 x81 hc y533 ff9 fs8 fc0 sc0 ls252">;<span class="ls0 ws4 v22"> </span></div><div class="c x90 y528 w46 hd8"><div class="t m0 xa0 he y534 ffb fs8 fc0 sc0 ls2a4">st</div></div><div class="t m0 x25 he y535 ffb fs8 fc0 sc0 ls0">t</div><div class="t m0 x8f hd7 y52b ffb fs10 fc0 sc0 ls253">B<span class="ff9d fs8 ls2a5 ws297 vd">\ue01f\ue01e<span class="_42 blank"></span><span class="ls1f9 ws295">\ue01d\ue01e<span class="_a1 blank"></span><span class="ff9 ls1 ws1a1">12 <span class="ls254">0<span class="ls0 v4">3</span></span></span></span></span></div><div class="c x90 y528 w46 hd8"><div class="t m0 x63 hc y52d ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x23 h47 y536 ff9 fs10 fc0 sc0 ls0">2</div><div class="t m0 x108 hc y52a ff9 fs8 fc0 sc0 ls0">.</div><div class="t m0 x1d hc y537 ff9 fs8 fc0 sc0 ls255 ws4"> <span class="ls18b ws1b8 v23">No <span class="ls38 ws298">encont<span class="ls1 ws299">ro <span class="ls0 ws1f">s<span class="_a2 blank"></span><span class="ffb ls2a6">ss</span></span></span></span></span></div><div class="t m0 xa5 he y538 ffb fs8 fc0 sc0 ls2a7">tt</div><div class="t m0 x48 he y539 ffb fs8 fc0 sc0 ls0">t</div><div class="t m0 x55 h2e y53a ffb fs10 fc0 sc0 ls2a8">AB</div><div class="t m0 x3f h26 y539 ff9e fs8 fc0 sc0 ls2a9 ws29a">\ue01f\ue01e <span class="ls2a5 ws29b">\ue01f\ue01d <span class="ls2aa">\ue01c\ue01f</span></span></div><div class="t m0 xd5 hc y538 ff9 fs8 fc0 sc0 ls0">3</div><div class="c xcd y53b w47 h58"><div class="t m0 xa7 hc y53c ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x35 hc4 y539 ff9 fs8 fc0 sc0 ls1 ws29c">12 <span class="ls0 v4">3</span></div><div class="c xcd y53b w47 h58"><div class="t m0 xb5 hc y53c ff9 fs8 fc0 sc0 ls0">2</div></div><div class="t m0 x103 hc y539 ff9 fs8 fc0 sc0 ls1c0">20</div><div class="t m0 x85 h47 y53d ff9 fs10 fc0 sc0 ls2ab">22</div><div class="c xcd y53b w47 h58"><div class="t m0 xc9 hc y53e ff9 fs8 fc0 sc0 ls2ac">,.</div></div><div class="t m0 x1d hc y53f ff9 fs8 fc0 sc0 ls2b wse">b. <span class="_7 blank"> </span>S<span class="_5 blank"> </span>endo 12 m/s a velocidade rela<span class="_1 blank"></span>tiva entre <span class="ffb ls0 ws13">A</span><span class="ls2f ws35"> e <span class="ffb ls0 ws13">Z<span class="_1 blank"></span><span class="ff9 ls2b wse">, para que o árbi<span class="_1 blank"></span>tro </span></span></span></div><div class="t m0 xcd hc y540 ff9 fs8 fc0 sc0 ls0 ws2d">decida que não há im<span class="_1 blank"></span>pe<span class="_5 blank"> </span>dimen<span class="_1 blank"></span>to, a<span class="_1 blank"></span>pós \u0394<span class="ffb">t</span> = 0,1 s, os jogadores </div><div class="t m0 xcd hc y541 ff9 fs8 fc0 sc0 ls0 ws4">deverão estar<span class="_0 blank"></span>, no máximo<span class="_1 blank"></span>, na mesma posição.</div><div class="t m0 x1d hc y542 ff9 fs8 fc0 sc0 ls0 ws4"> </div><div class="c xcd y543 w48 hd9"><div class="t m0 x9 h26 y544 ff9f fs8 fc0 sc0 ls2ad ws29d">,,<span class="_a3 blank"></span><span class="ffa0 ls2ae ws29e">\ue01f\ue01e <span class="ls13b ws29f">\ue01d\ue01e <span class="ls1cd ws1b2">\ue01d\ue01c<span class="_a4 blank"></span><span class="ls1f8 ws2a0">\ue01f\ue01e<span class="_a5 blank"></span><span class="ffa1 ls2af ws2a1">sv<span class="_70 blank"></span><span class="ls2b0 ws2a2">ts<span class="_89 blank"></span><span class="ff9f ls1 ws2a3">12 <span class="ls1a3 ws2a4">01 12<span class="ls0">m.</span></span></span></span></span></span></span></span></span></div></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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