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Trabalho Cinesio.doc Felipe Nunes Gabriel Sousa Lorena Gomes Márcia Conceição Neidijane Almeida CINESIOLOGIA E BIOMECÂNICA ANÁLISE BIOMECÂNICA DO ARREMESSO SALVADOR 2015 Felipe Nunes Gabriel Sousa Lorena Gomes Márcia Conceição Neidijane Almeida CINESIOLOGIA E BIOMECÂNICA ANÁLISE BIOMECÂNICA DO ARREMESSO SALVADOR 2015 SUMÁRIO 1. INTRODUÇÃO 2. DESENVOLVIMENTO 2.1 CINÉTICA 2.2 CINEMÁTICA 2.3 ALAVANCAS 2.4 ANÁLISE CINESIOLÓGICA 2.4.1 FASES 2.4.2 MÚSCULOS 2.4.3 ARTICULAÇÕES 2.4.4 CVMOB 3. CONSIDERAÇÕES FINAIS 4. REFERÊNCIAS 1.INTRODUÇÃO O estudo a seguir tem como objetivo demonstrar a biomecânica do movimento de arremesso. A biomecânica do arremesso caracteriza-se por ser um movimento balístico do membro superior, no qual um objetivo externo é lançado para fora do centro de massa do corpo. As sequências de ações de arremesso são: rotação de tronco, rotação interna e/ou flexão do ombro, extensão do cotovelo e flexão do punho. A demonstração do movimento citado será feita pelo Programa CVMOB, onde podemos observa a aceleração, velocidade e angulação de cada movimento citado. O conhecimento da anatomia e funções da articulação do ombro (gleno – umeral) é fundamental para o entendimento e caracterização dos arremessos. A articulação gleno – umeral situa o membro superior no espaço e posiciona a mão no lugar desejado para execução de movimentos, além de atuar sinergicamente com o tronco na transmissão de energia cinética. No ombro consideramos os estabilizadores estáticos (ossos) e os estabilizadores dinâmicos (músculos e ligamentos). 2. DESENVOLVIMENTO CINÉTICA A avaliação cinética do movimento será feita em plano Sagital e Linear, levando em conta a massa do objeto e do arremessador, a fim de observar a sua influência em cada fase do movimento. No momento do arremesso existem outras forças de influência como impulso e momento linear, para que o objeto seja lançado para fora do eixo central o arremessador necessita aplicar certo impulso e força para que o movimento aconteça e a massa do referido objeto irá influenciar diretamente na sua velocidade de atingir o alvo ou não, caso o objetivo seja o impacto. CINEMÁTICA A cinemática do movimento caracteriza-se como Linear, pois o objetivo do estudo de tal movimento, é que seja um arremesso aleatório feito de forma linear e reto, sem a intenção de acerto de alvo. Onde o arremessador estará primeiramente em posição de inércia, ou seja, ponto Zero e o único movimento a ser realizado é o de impulsão para o arremesso. ALAVANCAS O sistema de alavancas será classificado a partir das fases do movimento: a) Posição inicial b) Deslocamento c) Posição final ou de arremesso d) Arremesso propriamente dito Na fase A a alavanca utilizada será de 1ª classe(interfixa) onde o arremessador manterá a postura e equilíbrio para o preparo do arremesso. Nas fases B e C a alavanca utilizada será a de 2ª classe(interresistente) onde o arremessador terá a vantagem de força para impulsionar e ter força suficiente para lançar o objeto. Nas fases D a alavanca utilizada será de 3ª classe(interpotente) onde o arremessador usará a força de acordo com a gravidade e da massa do objeto para ter velocidade no movimento e executar o lançamento. ANÁLISE CINESIOLÓGICA 2.4.1 FASES a) Posição inicial b) Deslocamento c) Posição final ou de arremesso d) Arremesso propriamente dito 2.4.2 MÚSCULOS Ombro em hiperflexão, cotovelo fletido, punho estendido e escápula retraída e com rotação superior. Tronco estendido Movimento de extensão de ombro por uma ação concêntrica dos músculos: grande dorsal, redondo maior, deltóide posterior porção longa do tríceps braquial e porção esternal do peitoral. Movimento de extensão do cotovelo por uma ação concêntrica dos músculos: tríceps braquial e ancôneo. Movimento de flexão do punho por uma ação concêntrica dos músculos: flexor ulnar do carpo, flexor radial do carpo, flexor superficial dos dedos, flexor profundo dos dedos e palmar longo. 2.4.3 ARTICULAÇÕES As articulações envolvidas no arremesso são: - Esterno clavicular - Acromioclavicular - Glenoumeral - Escapulo torácica 2.4.4 CVMOB Na análise do movimento feita pelo programa, é possível observar que a aceleração e velocidade do movimento na 4ª fase é maior em relação às fases anteriores. Na 1ª fase o corpo ainda encontra-se em inércia, pois é a preparação para o inicio do movimento. A 2ª fase é a mais curta, apesar da distância da primeira, é onde ocorre menor aceleração e velocidade ocorre uma oscilação de velocidade e aceleração na 3ª fase,no ato do arremesso ocorre a diminuição da aceleração e velocidade desta fase,para que possa ocorrer a evolução para a 4ª e última fase. 3. CONSIDERAÇÕES FINAIS O objetivo do referido trabalho é apresentação do movimento de arremesso, apresentando toda a sua análise cinética, cinemática, além citar todas as forças influência acometidas em tal movimento como força, gravidade, massa. Por meio da análise cinesiológica, sistema de alavancas e aplicação do movimento no programa Cvmob a fim de dá precisão a aceleração, velocidade e trajetória no momento do movimento. REFERÊNCIAS (2015, 04). Arremesso no handebol e chute no futebol cinesiologia e biomecânica. TrabalhosFeitos.com. Retirado 04, 2015, de http://www.trabalhosfeitos.com/ensaios/Arremesso-No-Handebol-e-Chute-No/71633710.html http://www.ufrgs.br/biomec/articles%202/10%20(X)%20CBB/Volume%201/ROCHA%20-%20Arreme%20Handboll.pdf http://atletismoclube.com.sapo.pt/peso.html Trabalho de conclusão de unidade apresentado ao curso de Fisioterapia,da Universidade Estácio Fib. Com objetivo de requisito parcial à obtenção de nota para finalização de matéria e apresentação do programa CVmob Orientador:Professor Paulo Lopes Trajetória Arremesso.xls Trajetória 1ª fase Frame Time Vel Acce X Y VelX VelY 1 0.03333 0.00000 0.00000 177,778 113,321 0.00000 0.00000 2 0.06667 0.00000 0.00000 158,204 100,895 0.00000 0.00000 3 0.10000 347,455 0.00000 158,226 100,900 -293,285 -186,303 4 0.13333 0.00418 0.00000 158,232 100,895 0.00418 0.00004 5 0.16667 0.01306 5,229,455 158,312 100,910 0.01298 0.00147 6 0.20000 0.01836 0.21641 158,348 100,933 0.01745 0.00570 7 0.23333 0.00518 0.23994 158,294 100,939 -0.00275 0.00439 8 0.26667 0.00660 0.32116 158,322 100,969 -0.00396 0.00529 9 0.30000 0.00958 0.06754 158,268 100,998 -0.00392 0.00874 10 0.33333 0.01839 0.17721 158,255 101,071 -0.01004 0.01541 11 0.36667 0.01242 0.09083 158,274 101,080 0.00091 0.01239 12 0.40000 0.00394 0.30037 158,280 101,078 0.00382 0.00096 13 0.43333 0.00300 0.23108 158,270 101,061 -0.00058 -0.00295 14 0.46667 0.00206 0.06116 158,280 101,091 -0.00011 0.00206 15 0.50000 0.01208 0.21333 158,340 101,100 0.01051 0.00596 16 0.53333 0.01085 0.13190 158,270 101,163 -0.00149 0.01074 17 0.56667 0.01206 0.29275 158,281 101,155 -0.00888 0.00817 18 0.60000 0.00808 0.25548 158,232 101,125 -0.00565 -0.00577 19 0.63333 0.01248 0.26846 158,229 101,090 -0.00785 -0.00970 20 0.66667 0.00823 0.01827 158,188 101,092 -0.00657 -0.00497 21 0.70000 0.00799 0.07878 158,185 101,059 -0.00651 -0.00462 22 0.73333 0.00467 0.07417 158,177 101,062 -0.00166 -0.00437 23 0.76667 0.00127 0.11356 158,187 101,051 0.00026 -0.00125 24 0.80000 0.00371 0.01499 158,170 101,039 -0.00110 -0.00354 25 0.83333 0.00487 0.05413 158,197 101,020 0.00158 -0.00461 26 0.86667 0.00594 0.08228 158,199 101,012 0.00437 -0.00403 27 0.90000 0.00110 0.08945 158,195 101,027 -0.00041 0.00102 28 0.93333 0.00031 0.09291 158,199 101,014 -0.00007 0.00030 29 0.96667 0.00200 0.01491 158,193 101,040 -0.00021 0.00199 30 100,000 0.00209 0.02688 158,198 101,028 -0.00004 0.00209 31 103,333 0.00242 0.03132 158,179 101,048 -0.00213 0.00115 32 106,667 0.00256 0.04353 158,182 101,032 -0.00250 0.00055 33 110,000 0.00178 0.03304 158,169 101,042 -0.00150 -0.00096 34 113,333 0.00026 0.04221 158,183 101,031 0.00024 -0.00009 35 116,667 0.00061 0.02789 158,171 101,038 0.00031 -0.00053 36 120,000 0.00231 0.03827 158,171 101,041 -0.00178 0.00147 37 123,333 0.00100 0.00847 158,171 101,031 -0.00001 -0.00100 38 126,667 0.00199 0.06065 158,185 101,041 0.00199 0.00001 39 130,000 0.00078 0.00638 158,169 101,027 -0.00032 -0.00071 40 133,333 0.00208 0.06054 158,171 101,045 -0.00200 0.00058 41 136,667 0.00271 0.05207 158,172 101,045 0.00039 0.00268 42 140,000 0.00231 0.06262 158,186 101,050 0.00217 0.00079 43 143,333 0.00449 0.08782 158,199 101,032 0.00409 -0.00185 44 146,667 0.00415 0.06273 158,202 101,027 0.00240 -0.00339 45 150,000 0.00077 0.07844 158,194 101,033 -0.00077 0.00008 46 153,333 0.00085 0.07196 158,203 101,033 0.00012 0.00084 47 156,667 0.00131 0.02396 158,195 101,041 0.00028 0.00129 48 160,000 0.00195 0.03611 158,190 101,030 -0.00189 -0.00048 49 163,333 0.00145 0.03835 158,201 101,033 0.00078 -0.00122 50 166,667 0.00104 0.03987 158,195 101,025 0.00076 -0.00071 51 170,000 0.00307 0.06380 158,181 101,038 -0.00297 0.00079 52 173,333 0.00264 0.05303 158,178 101,027 -0.00262 0.00032 53 176,667 0.00196 0.05907 158,180 101,025 -0.00015 -0.00196 54 180,000 0.00155 0.03075 158,172 101,036 -0.00083 0.00131 55 183,333 0.00292 0.06880 158,168 101,041 -0.00176 0.00234 56 186,667 0.00027 0.02105 158,173 101,038 0.00009 0.00026 57 190,000 0.00272 0.07425 158,162 101,024 -0.00095 -0.00255 58 193,333 0.00112 0.01616 158,180 101,037 0.00112 -0.00008 59 196,667 0.00154 0.05877 158,171 101,028 0.00144 0.00056 60 200,000 0.00184 0.04407 158,168 101,035 -0.00181 -0.00037 61 203,333 0.00065 0.01669 158,176 101,026 0.00062 -0.00020 62 206,667 0.00264 0.05186 158,174 101,018 0.00093 -0.00247 63 210,000 0.00256 0.03099 158,192 101,032 0.00243 0.00079 64 213,333 0.00190 0.05872 158,183 101,028 0.00126 0.00143 65 216,667 0.00255 0.07623 158,177 101,023 -0.00221 -0.00127 66 220,000 0.00067 0.03145 158,186 101,024 0.00044 -0.00051 67 223,333 0.00190 0.06195 158,181 101,035 0.00053 0.00182 68 226,667 0.00109 0.02537 158,185 101,031 -0.00014 0.00108 69 230,000 0.00065 0.02201 158,184 101,038 0.00054 0.00036 70 233,333 0.00102 0.01414 158,190 101,036 0.00073 0.00071 71 236,667 0.00049 0.01644 158,183 101,035 -0.00021 -0.00045 72 240,000 0.00121 0.00577 158,197 101,040 0.00108 0.00055 73 243,333 0.00053 0.00105 158,181 101,032 -0.00027 -0.00045 74 246,667 0.00133 0.03802 158,189 101,035 -0.00111 -0.00073 75 250,000 0.00155 0.01630 158,172 101,026 -0.00127 -0.00088 76 253,333 0.00182 0.04576 158,201 101,036 0.00181 0.00014 77 256,667 0.00368 0.07818 158,190 101,043 0.00269 0.00251 78 260,000 0.00310 0.07377 158,181 101,035 -0.00310 -0.00012 79 263,333 0.00255 0.09216 158,182 101,027 -0.00119 -0.00226 80 266,667 0.00089 0.04036 158,178 101,030 -0.00048 -0.00075 81 270,000 0.00169 0.06113 158,192 101,033 0.00147 0.00083 82 273,333 0.00218 0.04179 158,192 101,031 0.00217 0.00009 83 276,667 0.00028 0.02922 158,191 101,031 -0.00017 -0.00023 84 280,000 0.00102 0.04045 158,189 101,037 -0.00039 0.00094 85 283,333 0.00105 0.01987 158,194 101,038 0.00041 0.00097 86 286,667 0.00084 0.00558 158,186 101,041 -0.00057 0.00062 87 290,000 0.00344 0.05573 158,172 101,044 -0.00331 0.00095 88 293,333 0.00176 0.01502 158,175 101,047 -0.00154 0.00086 89 296,667 0.00547 0.09681 158,182 101,079 0.00149 0.00526 90 300,000 0.00187 0.05355 158,188 101,045 0.00184 -0.00028 91 303,333 0.00214 0.11385 158,180 101,065 -0.00030 -0.00212 92 306,667 0.00469 0.08756 158,177 101,074 -0.00165 0.00439 93 310,000 0.00173 0.05355 158,173 101,074 -0.00107 0.00137 94 313,333 0.00184 0.08894 158,189 101,071 0.00179 -0.00044 95 316,667 0.00074 0.02780 158,169 101,071 -0.00060 -0.00043 96 320,000 0.00191 0.05623 158,176 101,074 -0.00186 0.00043 97 323,333 0.00013 0.00925 158,168 101,071 -0.00008 -0.00010 98 326,667 0.00177 0.05521 158,188 101,071 0.00172 -0.00042 99 330,000 0.16487 247,178 157,071 101,004 -0.16457 -0.00999 100 333,333 0.21081 318,792 156,782 101,053 -0.21080 -0.00269 101 336,667 0.17928 0.31623 155,876 101,039 -0.17920 0.00518 102 340,000 0.26367 0.79310 155,025 101,022 -0.26363 -0.00469 103 343,333 0.23013 0.77306 154,342 101,020 -0.23012 -0.00281 104 346,667 0.15579 165,221 153,991 101,117 -0.15513 0.01431 105 350,000 0.22580 389,461 153,796 102,423 -0.08195 0.21041 106 353,333 0.39221 588,526 153,711 103,717 -0.04190 0.38996 107 356,667 0.33852 212,224 153,659 104,675 -0.02060 0.33790 108 360,000 0.16416 343,165 153,516 104,794 -0.02927 0.16153 109 363,333 0.04899 463,391 153,398 104,872 -0.03909 0.02952 110 366,667 0.04328 210,206 153,266 104,938 -0.03748 0.02164 111 370,000 0.04086 0.19002 153,150 104,986 -0.03715 0.01701 112 373,333 0.04027 0.10286 153,016 105,037 -0.03746 0.01478 113 376,667 0.05260 0.33090 152,915 105,246 -0.03531 0.03899 114 380,000 0.64578 947,252 152,948 109,341 -0.01031 0.64570 115 383,333 0.55389 770,048 152,637 108,928 -0.04170 0.55231 116 386,667 130,549 2,920,453 151,862 100,706 -0.16292 -129,528 117 390,000 0.97740 2,280,046 151,488 102,514 -0.17229 -0.96210 118 393,333 0.36536 2,447,552 150,910 102,948 -0.14280 0.33630 119 396,667 0.23603 1,534,393 149,965 102,909 -0.22847 0.05929 120 400,000 0.30220 518,894 148,904 103,139 -0.30085 0.02858 121 403,333 0.33182 156,353 147,766 103,145 -0.32993 0.03540 122 406,667 0.40013 146,922 146,247 103,377 -0.39854 0.03571 123 410,000 0.55517 765,831 145,834 0.99988 -0.28973 -0.47357 124 413,333 137,929 1,539,542 138,207 107,838 -120,606 0.66921 125 416,667 183,120 2,925,490 135,892 107,072 -149,137 106,260 126 420,000 0.67955 1,644,052 134,025 106,095 -0.62722 -0.26150 127 423,333 0.65344 2,483,690 132,075 104,973 -0.57257 -0.31488 128 426,667 0.64126 0.85500 130,193 104,201 -0.57489 -0.28410 129 430,000 0.65191 222,726 127,892 103,793 -0.62745 -0.17691 130 433,333 0.62556 100,035 126,285 102,745 -0.58621 -0.21838 131 436,667 0.55176 331,421 124,866 101,702 -0.45392 -0.31368 132 440,000 0.51783 289,454 123,513 100,687 -0.41571 -0.30876 133 443,333 0.47937 297,237 123,047 0.99074 -0.27284 -0.39416 134 446,667 0.51099 137,719 121,182 0.98203 -0.34970 -0.37258 135 450,000 0.61996 493,437 119,261 0.97416 -0.56789 -0.24870 136 453,333 0.81578 808,182 115,779 0.97581 -0.81043 -0.09325 137 456,667 0.64343 113,636 115,161 0.96154 -0.61494 -0.18933 138 460,000 0.73828 162,008 110,967 0.96548 -0.72182 -0.15500 139 463,333 153,787 1,402,696 104,911 0.95913 -153,745 -0.03615 140 466,667 0.34239 612,589 108,875 0.95635 -0.31383 -0.13690 141 470,000 0.13025 2,486,734 105,697 0.96283 0.11784 0.05548 142 473,333 0.34135 332,227 106,669 0.96195 -0.33087 0.08392 143 476,667 0.16239 109,806 106,779 0.96265 0.16237 -0.00263 Trajetória 2ª fase Frame Time Vel Acce X Y VelX VelY 1 0.03333 0.00000 0.00000 0.73098 0.14990 0.00000 0.00000 2 0.06667 0.00000 0.00000 0.73130 0.14984 0.00000 0.00000 3 0.10000 0.01019 0.00000 0.73165 0.15001 0.01006 0.00164 4 0.13333 0.00947 0.00000 0.73185 0.15016 0.00817 0.00479 5 0.16667 0.01153 0.11808 0.73213 0.15061 0.00722 0.00898 6 0.20000 0.01276 0.08552 0.73234 0.15085 0.00735 0.01043 7 0.23333 0.00583 0.08734 0.73233 0.15094 0.00295 0.00503 8 0.26667 0.00720 0.08335 0.73262 0.15124 0.00419 0.00586 9 0.30000 0.00921 0.05215 0.73270 0.15143 0.00552 0.00737 10 0.33333 0.01468 0.13074 0.73279 0.15221 0.00264 0.01444 11 0.36667 0.01885 0.19522 0.73265 0.15269 -0.00063 0.01884 12 0.40000 0.01629 0.10847 0.73249 0.15325 -0.00449 0.01566 13 0.43333 0.00753 0.19376 0.73239 0.15311 -0.00402 0.00637 14 0.46667 0.00710 0.13808 0.73234 0.15370 -0.00226 0.00673 15 0.50000 0.01904 0.21224 0.73256 0.15437 0.00266 0.01885 16 0.53333 0.01194 0.12974 0.73271 0.15441 0.00547 0.01061 17 0.56667 0.00503 0.33591 0.73280 0.15413 0.00359 -0.00353 18 0.60000 0.01000 0.32873 0.73246 0.15379 -0.00371 -0.00929 19 0.63333 0.01262 0.17354 0.73250 0.15335 -0.00451 -0.01178 20 0.66667 0.00983 0.02211 0.73231 0.15315 -0.00226 -0.00957 21 0.70000 0.00594 0.10054 0.73239 0.15297 -0.00173 -0.00569 22 0.73333 0.00686 0.07232 0.73242 0.15270 0.00160 -0.00668 23 0.76667 0.00575 0.04820 0.73249 0.15260 0.00148 -0.00555 24 0.80000 0.01192 0.07679 0.73253 0.15192 0.00177 -0.01179 25 0.83333 0.01015 0.06615 0.73268 0.15195 0.00292 -0.00972 26 0.86667 0.00411 0.12375 0.73267 0.15168 0.00208 -0.00355 27 0.90000 0.00069 0.14210 0.73269 0.15191 0.00007 -0.00069 28 0.93333 0.00121 0.07950 0.73265 0.15176 -0.00037 0.00116 29 0.96667 0.00153 0.02867 0.73259 0.15194 -0.00146 0.00046 30 100,000 0.00828 0.14217 0.73273 0.15121 0.00117 -0.00820 31 103,333 0.01710 0.26862 0.73283 0.15082 0.00363 -0.01671 32 106,667 0.01248 0.06355 0.73289 0.15040 0.00246 -0.01223 33 110,000 0.00929 0.11706 0.73296 0.15022 0.00199 -0.00908 34 113,333 0.00169 0.17201 0.73282 0.15031 -0.00105 -0.00132 35 116,667 0.00797 0.25731 0.73274 0.15070 -0.00338 0.00721 36 120,000 0.01309 0.21287 0.73262 0.15116 -0.00299 0.01274 37 123,333 0.00996 0.04297 0.73260 0.15135 -0.00204 0.00975 38 126,667 0.00899 0.06238 0.73244 0.15173 -0.00265 0.00860 39 130,000 0.01027 0.03356 0.73232 0.15197 -0.00424 0.00936 40 133,333 0.00667 0.04381 0.73222 0.15212 -0.00336 0.00576 41 136,667 0.00325 0.11454 0.73214 0.15210 -0.00264 0.00189 42 140,000 0.00108 0.10928 0.73219 0.15205 -0.00052 -0.00095 43 143,333 0.00371 0.08763 0.73209 0.15186 -0.00075 -0.00364 44 146,667 0.00779 0.10159 0.73209 0.15154 -0.00142 -0.00766 45 150,000 0.01118 0.11335 0.73208 0.15111 -0.00027 -0.01118 46 153,333 0.00990 0.03319 0.73202 0.15089 -0.00105 -0.00984 47 156,667 0.00543 0.08890 0.73200 0.15076 -0.00112 -0.00531 48 160,000 0.00346 0.09720 0.73197 0.15066 -0.00081 -0.00337 49 163,333 0.00286 0.04863 0.73188 0.15061 -0.00187 -0.00216 50 166,667 0.00379 0.07655 0.73172 0.15072 -0.00370 0.00084 51 170,000 0.00467 0.06830 0.73158 0.15072 -0.00437 0.00164 52 173,333 0.00332 0.03098 0.73151 0.15064 -0.00311 -0.00114 53 176,667 0.00396 0.07401 0.73141 0.15052 -0.00263 -0.00297 54 180,000 0.00592 0.03919 0.73115 0.15049 -0.00546 -0.00229 55 183,333 0.01142 0.14779 0.73066 0.15064 -0.01129 0.00172 56 186,667 0.01393 0.16405 0.73031 0.15089 -0.01256 0.00602 57 190,000 0.01431 0.11134 0.72992 0.15125 -0.01102 0.00914 58 193,333 0.01732 0.09643 0.72951 0.15172 -0.01206 0.01243 59 196,667 0.02652 0.21142 0.72905 0.15279 -0.01305 0.02308 60 200,000 0.03341 0.26688 0.72853 0.15372 -0.01462 0.03004 61 203,333 0.03377 0.10886 0.72796 0.15476 -0.01635 0.02955 62 206,667 0.05120 0.26713 0.72709 0.15682 -0.02159 0.04643 63 210,000 0.08736 0.81656 0.72608 0.16027 -0.02824 0.08267 64 213,333 0.14419 140,717 0.72434 0.16603 -0.04134 0.13814 65 216,667 0.22337 204,868 0.72255 0.17473 -0.05300 0.21699 66 220,000 0.31053 250,695 0.71995 0.18626 -0.06589 0.30346 67 223,333 0.41146 282,946 0.71729 0.20166 -0.07884 0.40384 68 226,667 0.57695 401,994 0.71438 0.22432 -0.08347 0.57088 69 230,000 0.89141 723,827 0.71076 0.26072 -0.09799 0.88601 70 233,333 113,796 844,989 0.70815 0.29992 -0.09345 113,411 71 236,667 0.37048 911,649 0.72131 0.28305 0.15833 0.33494 72 240,000 0.41909 1,291,912 0.72436 0.32268 0.24315 0.34134 73 243,333 101,626 1,057,060 0.71980 0.35079 -0.02265 101,601 74 246,667 0.93855 1,827,337 0.66185 0.32545 -0.93763 0.04161 75 250,000 137,331 2,596,779 0.62836 0.34618 -137,157 -0.06908 76 253,333 123,398 1,468,929 0.61345 0.39197 -0.72607 0.99777 77 256,667 0.88239 1,608,131 0.58932 0.39019 -0.58561 0.66006 78 260,000 0.35947 1,596,807 0.58948 0.39186 -0.35946 -0.00165 79 263,333 0.05887 1,258,907 0.58932 0.39411 0.00001 0.05887 80 266,667 0.08715 552,347 0.58934 0.39767 -0.00209 0.08712 81 270,000 0.11359 0.82484 0.58982 0.40167 0.00752 0.11335 82 273,333 0.10505 0.27293 0.58894 0.40466 -0.00607 0.10488 83 276,667 0.10876 0.63861 0.58757 0.40856 -0.03387 0.10336 84 280,000 0.12060 0.50286 0.58639 0.41229 -0.03822 0.11438 85 283,333 0.12780 0.29575 0.58527 0.41676 -0.03447 0.12307 86 286,667 0.13683 0.30010 0.58430 0.42117 -0.03138 0.13318 87 290,000 0.15144 0.60722 0.58490 0.42685 -0.00550 0.15134 88 293,333 0.20413 165,937 0.58832 0.43417 0.06036 0.19501 89 296,667 0.24780 216,308 0.59318 0.44115 0.12416 0.21445 90 300,000 0.25425 155,113 0.59924 0.44713 0.16376 0.19448 91 303,333 0.26583 0.99140 0.60556 0.45383 0.18567 0.19024 92 306,667 0.23307 0.34069 0.60964 0.45867 0.15605 0.17312 93 310,000 0.15150 177,760 0.61141 0.46206 0.08773 0.12351 94 313,333 0.10457 208,126 0.61234 0.46510 0.04040 0.09645 95 316,667 0.09843 0.96433 0.61347 0.46829 0.03090 0.09346 96 320,000 0.09098 0.20388 0.61469 0.47069 0.03532 0.08385 97 323,333 0.07474 0.41106 0.61577 0.47271 0.03451 0.06629 98 326,667 0.06309 0.42960 0.61665 0.47441 0.02937 0.05583 99 330,000 0.05277 0.33276 0.61754 0.47575 0.02665 0.04555 100 333,333 0.04073 0.34612 0.61764 0.47695 0.01478 0.03795 101 336,667 0.02860 0.46740 0.61758 0.47766 0.00050 0.02860 102 340,000 0.02151 0.34566 0.61755 0.47838 -0.00132 0.02147 103 343,333 0.01891 0.16196 0.61786 0.47889 0.00417 0.01844 104 346,667 0.02478 0.15071 0.61812 0.47993 0.00857 0.02325 105 350,000 0.02114 0.03738 0.61809 0.48028 0.00350 0.02084 106 353,333 0.02088 0.06137 0.61867 0.48120 0.00828 0.01917 107 356,667 0.02017 0.06426 0.61857 0.48153 0.00728 0.01881 108 360,000 0.01033 0.16401 0.61882 0.48188 0.00217 0.01010 109 363,333 0.01982 0.04852 0.61924 0.48267 0.01002 0.01711 110 366,667 0.02094 0.16173 0.61928 0.48319 0.00702 0.01973 111 370,000 0.00910 0.19978 0.61920 0.48328 -0.00061 0.00908 112 373,333 0.00686 0.21155 0.61941 0.48363 0.00189 0.00659 113 376,667 0.01125 0.09094 0.61956 0.48393 0.00540 0.00986 114 380,000 0.01098 0.06374 0.61969 0.48431 0.00426 0.01012 115 383,333 0.01576 0.06934 0.62013 0.48481 0.00859 0.01321 116 386,667 0.01058 0.10250 0.62030 0.48466 0.00914 0.00533 117 390,000 0.01256 0.10087 0.62026 0.48564 0.00191 0.01241 118 393,333 0.01423 0.18323 0.62035 0.48561 0.00075 0.01421 119 396,667 0.02547 0.55743 0.61929 0.48425 -0.01457 -0.02090 120 400,000 0.03584 0.73469 0.61917 0.48353 -0.01771 -0.03116 121 403,333 0.00204 0.41088 0.61940 0.48433 0.00169 0.00115 122 406,667 0.01219 0.71884 0.61946 0.48429 0.00433 0.01140 123 410,000 0.02417 0.39221 0.61835 0.48311 -0.01586 -0.01823 124 413,333 0.02870 0.60653 0.61939 0.48238 -0.00104 -0.02868 125 416,667 0.01707 0.43022 0.61916 0.48231 0.01214 -0.01201 126 420,000 0.01500 0.65499 0.61934 0.48338 -0.00074 0.01499 127 423,333 0.01319 0.40263 0.61931 0.48317 0.00234 0.01298 128 426,667 0.00218 0.19444 0.61938 0.48352 0.00059 0.00209 129 430,000 0.01206 0.23217 0.62011 0.48324 0.01202 0.00091 130 433,333 0.01300 0.17456 0.62015 0.48391 0.01160 0.00588 131 436,667 0.03633 0.49372 0.62100 0.48549 0.01335 0.03379 132 440,000 0.05582 0.72807 0.62099 0.48754 0.01249 0.05441 133 443,333 0.05235 0.33646 0.62105 0.48898 0.00074 0.05234 134 446,667 0.02664 0.44118 0.62122 0.48930 0.00350 0.02641 135 450,000 0.01110 0.87041 0.62172 0.48865 0.00994 -0.00495 136 453,333 0.01698 0.46742 0.62235 0.48918 0.01689 -0.00173 137 456,667 0.02829 0.41871 0.62292 0.49010 0.01810 0.02175 138 460,000 0.03604 0.49372 0.62355 0.49126 0.01810 0.03116 139 463,333 0.02317 0.14707 0.62347 0.49154 0.00829 0.02163 140 466,667 0.02020 0.26873 0.62384 0.49258 0.00430 0.01974 141 470,000 0.05993 0.57135 0.62386 0.49552 0.00581 0.05964 142 473,333 0.04065 0.32011 0.62385 0.49529 0.00007 0.04065 143 476,667 0.00910 0.83180 0.62440 0.49580 0.00805 0.00423 Trajetória 3ª fase Frame Time Vel Acce X Y VelX VelY 1 0.03333 0.00000 0.00000 158,225 0.39232 0.00000 0.00000 2 0.06667 0.00000 0.00000 158,236 0.39157 0.00000 0.00000 3 0.10000 0.02211 0.00000 158,258 0.39089 0.00492 -0.02155 4 0.13333 0.01518 0.00000 158,265 0.39060 0.00442 -0.01452 5 0.16667 0.00132 0.31421 158,263 0.39082 0.00085 -0.00100 6 0.20000 0.01838 0.50211 158,247 0.39182 -0.00277 0.01817 7 0.23333 0.03510 0.54552 158,166 0.39295 -0.01461 0.03191 8 0.26667 0.03842 0.33854 158,114 0.39401 -0.01991 0.03285 9 0.30000 0.04239 0.13110 158,017 0.39535 -0.02231 0.03604 10 0.33333 0.05023 0.17834 157,932 0.39682 -0.02731 0.04216 11 0.36667 0.04919 0.14669 157,804 0.39784 -0.03200 0.03736 12 0.40000 0.04141 0.31767 157,700 0.39831 -0.03485 0.02236 13 0.43333 0.03375 0.40737 157,589 0.39852 -0.03217 0.01020 14 0.46667 0.03884 0.19092 157,449 0.39897 -0.03755 0.00993 15 0.50000 0.04280 0.13910 157,313 0.39924 -0.04142 0.01079 16 0.53333 0.04673 0.12938 157,156 0.40001 -0.04405 0.01559 17 0.56667 0.05898 0.24537 156,928 0.40005 -0.05773 0.01212 18 0.60000 0.07208 0.47840 156,675 0.40003 -0.07208 0.00037 19 0.63333 0.07367 0.34882 156,438 0.39972 -0.07350 -0.00496 20 0.66667 0.07078 0.03024 156,204 0.40016 -0.07075 0.00189 21 0.70000 0.07951 0.25292 155,913 0.40045 -0.07874 0.01106 22 0.73333 0.09957 0.52664 155,563 0.40191 -0.09605 0.02624 23 0.76667 0.11795 0.61507 155,159 0.40268 -0.11312 0.03340 24 0.80000 0.13534 0.55491 154,677 0.40357 -0.13302 0.02498 25 0.83333 0.15975 0.65434 154,115 0.40476 -0.15669 0.03112 26 0.86667 0.19421 0.88372 153,408 0.40615 -0.19032 0.03866 27 0.90000 0.21144 0.78442 152,722 0.40690 -0.20897 0.03221 28 0.93333 0.20297 0.39385 152,058 0.40717 -0.20239 0.01534 29 0.96667 0.18041 0.47984 151,527 0.40826 -0.17926 0.02034 30 100,000 0.12390 121,765 151,248 0.40875 -0.12164 0.02358 31 103,333 0.06565 175,165 151,110 0.40960 -0.06248 0.02015 32 106,667 0.02419 163,057 151,161 0.41011 -0.01298 0.02041 33 110,000 0.03642 143,449 151,330 0.41063 0.03303 0.01535 34 113,333 0.05230 0.99587 151,507 0.41053 0.05191 0.00637 35 116,667 0.06136 0.52126 151,738 0.41029 0.06115 -0.00506 36 120,000 0.06007 0.32997 151,895 0.40955 0.05824 -0.01470 37 123,333 0.04965 0.38240 152,029 0.40871 0.04367 -0.02361 38 126,667 0.04031 0.37896 152,122 0.40810 0.03397 -0.02171 39 130,000 0.03095 0.30733 152,186 0.40737 0.02347 -0.02018 40 133,333 0.02418 0.33156 152,201 0.40670 0.01187 -0.02107 41 136,667 0.02004 0.35588 152,184 0.40603 -0.00025 -0.02004 42 140,000 0.01422 0.31398 152,153 0.40588 -0.00713 -0.01230 43 143,333 0.01647 0.23329 152,100 0.40533 -0.01261 -0.01059 44 146,667 0.01511 0.05230 152,084 0.40515 -0.01037 -0.01100 45 150,000 0.00861 0.12112 152,051 0.40503 -0.00738 -0.00444 46 153,333 0.00770 0.11974 152,040 0.40488 -0.00661 -0.00395 47 156,667 0.00464 0.05997 152,023 0.40489 -0.00415 -0.00208 48 160,000 0.00196 0.09815 152,028 0.40492 -0.00188 0.00057 49 163,333 0.00389 0.12741 152,048 0.40496 0.00376 0.00100 50 166,667 0.01145 0.19614 152,099 0.40518 0.01077 0.00387 51 170,000 0.02210 0.27344 152,185 0.40549 0.02062 0.00795 52 173,333 0.02537 0.20890 152,260 0.40572 0.02404 0.00810 53 176,667 0.02384 0.03748 152,338 0.40594 0.02285 0.00682 54 180,000 0.02492 0.10346 152,397 0.40666 0.02057 0.01406 55 183,333 0.02678 0.25751 152,438 0.40742 0.01508 0.02213 56 186,667 0.02880 0.22070 152,478 0.40840 0.01214 0.02612 57 190,000 0.03877 0.24305 152,504 0.40992 0.00991 0.03749 58 193,333 0.06214 0.55973 152,493 0.41254 0.00226 0.06210 59 196,667 0.07855 0.64240 152,489 0.41515 -0.00237 0.07851 60 200,000 0.09251 0.46866 152,455 0.41869 -0.00562 0.09234 61 203,333 0.11509 0.55169 152,432 0.42280 -0.00851 0.11478 62 206,667 0.12907 0.54886 152,393 0.42727 -0.00940 0.12873 63 210,000 0.14056 0.38209 152,360 0.43215 -0.01080 0.14015 64 213,333 0.15020 0.31839 152,334 0.43727 -0.00876 0.14995 65 216,667 0.16786 0.41370 152,302 0.44332 -0.00864 0.16764 66 220,000 0.19934 0.73895 152,284 0.45055 -0.00760 0.19920 67 223,333 0.22917 0.94948 152,347 0.45859 0.00663 0.22907 68 226,667 0.25578 101,098 152,497 0.46747 0.03193 0.25378 69 230,000 0.27661 0.93470 152,694 0.47670 0.05212 0.27166 70 233,333 0.30137 0.92367 153,041 0.48681 0.08167 0.29009 71 236,667 0.33718 124,731 153,520 0.49761 0.12394 0.31357 72 240,000 0.36895 132,968 154,103 0.50899 0.15937 0.33276 73 243,333 0.37837 0.81952 154,678 0.52002 0.17369 0.33614 74 246,667 0.38357 0.26045 155,265 0.53177 0.17424 0.34172 75 250,000 0.40304 0.42198 155,828 0.54430 0.17253 0.36425 76 253,333 0.42953 0.89583 156,321 0.55839 0.15833 0.39928 77 256,667 0.47157 151,624 156,672 0.57459 0.12655 0.45427 78 260,000 0.52773 204,359 156,946 0.59301 0.09388 0.51931 79 263,333 0.59295 220,621 157,123 0.61386 0.06771 0.58907 80 266,667 0.68887 253,438 157,380 0.63873 0.06503 0.68579 81 270,000 0.81612 335,124 157,827 0.66781 0.10548 0.80927 82 273,333 0.95261 408,177 158,500 0.70125 0.16796 0.93769 83 276,667 110,674 465,341 159,608 0.73941 0.26723 107,399 84 280,000 129,024 569,919 161,324 0.78249 0.42368 121,870 85 283,333 144,624 629,989 163,712 0.82666 0.61550 130,873 86 286,667 152,246 561,591 166,582 0.86931 0.78862 130,229 87 290,000 149,298 494,475 169,831 0.90516 0.91790 117,748 88 293,333 142,471 729,834 173,839 0.93059 108,854 0.91916 89 296,667 136,070 962,000 177,940 0.94581 121,639 0.60984 90 300,000 106,490 891,173 180,589 0.95259 101,250 0.32994 91 303,333 0.50812 1,309,687 180,549 0.96742 0.39135 0.32408 92 306,667 0.65800 1,851,326 179,360 0.99470 -0.18427 0.63167 93 310,000 0.87904 1,348,883 178,052 102,043 -0.37460 0.79523 94 313,333 0.78981 333,024 176,688 104,007 -0.40084 0.68054 95 316,667 0.66365 400,868 175,382 105,572 -0.40042 0.52923 96 320,000 0.57043 374,350 174,210 106,891 -0.37172 0.43267 97 323,333 0.50491 260,299 173,042 107,991 -0.35109 0.36286 98 326,667 0.50204 175,056 171,616 109,006 -0.38908 0.31727 99 330,000 0.55912 209,669 169,881 109,967 -0.47407 0.29643 100 333,333 0.57387 202,891 168,205 110,739 -0.51161 0.25997 101 336,667 0.53281 131,113 166,618 111,369 -0.48951 0.21040 102 340,000 0.48203 162,934 165,197 111,871 -0.45115 0.16973 103 343,333 0.41179 186,772 164,033 112,294 -0.38774 0.13866 104 346,667 0.34303 208,497 163,057 112,675 -0.32110 0.12067 105 350,000 0.27072 211,938 162,349 112,942 -0.25264 0.09729 106 353,333 0.20215 211,480 161,785 113,123 -0.19070 0.06707 107 356,667 0.15776 173,303 161,330 113,203 -0.15284 0.03907 108 360,000 0.12481 119,237 160,974 113,306 -0.12173 0.02754 109 363,333 0.10209 0.84865 160,686 113,423 -0.09658 0.03309 110 366,667 0.08971 0.55849 160,410 113,506 -0.08458 0.02992 111 370,000 0.08484 0.29499 160,135 113,552 -0.08263 0.01923 112 373,333 0.08977 0.38408 159,812 113,538 -0.08964 0.00482 113 376,667 0.09802 0.41677 159,482 113,525 -0.09794 -0.00396 114 380,000 0.11212 0.36084 159,065 113,512 -0.11205 -0.00392 115 383,333 0.14051 0.63777 158,545 113,500 -0.14046 -0.00381 116 386,667 0.18666 111,824 157,822 113,462 -0.18652 -0.00744 117 390,000 0.21995 123,730 157,096 113,276 -0.21736 -0.03364 118 393,333 0.27396 141,741 156,032 113,099 -0.26850 -0.05443 119 396,667 0.39502 263,203 154,480 112,977 -0.39248 -0.04478 120 400,000 0.48918 325,245 152,798 112,683 -0.48518 -0.06243 121 403,333 0.52648 203,395 151,031 112,326 -0.51736 -0.09762 122 406,667 0.59441 168,774 148,915 111,889 -0.58235 -0.11916 123 410,000 0.67686 227,171 146,624 111,356 -0.66103 -0.14551 124 413,333 0.69164 155,359 144,456 110,714 -0.66884 -0.17614 125 416,667 0.68841 0.85572 142,237 110,006 -0.65796 -0.20247 126 420,000 0.63923 179,122 140,563 108,980 -0.58392 -0.26010 127 423,333 0.61895 230,764 138,635 107,995 -0.54043 -0.30173 128 426,667 0.59776 107,698 137,093 107,021 -0.52055 -0.29385 129 430,000 0.54343 118,432 135,544 106,105 -0.46359 -0.28355 130 433,333 0.51189 144,579 134,263 105,114 -0.42448 -0.28608 131 436,667 0.44737 199,270 133,332 104,104 -0.33178 -0.30010 132 440,000 0.42088 226,183 132,417 103,001 -0.27689 -0.31698 133 443,333 0.44335 150,017 131,637 101,682 -0.25421 -0.36323 134 446,667 0.44633 133,766 130,938 100,419 -0.22196 -0.38723 135 450,000 0.42356 0.90001 130,334 0.99177 -0.19553 -0.37573 136 453,333 0.39148 141,752 130,077 0.97956 -0.12912 -0.36958 137 456,667 0.36106 178,939 129,810 0.96828 -0.07854 -0.35241 138 460,000 0.31314 147,208 129,730 0.95897 -0.05208 -0.30878 139 463,333 0.25220 165,176 129,536 0.95169 -0.04122 -0.24881 140 466,667 0.24719 114,739 129,684 0.94250 -0.00684 -0.24710 141 470,000 0.26251 113,866 129,761 0.93434 0.03382 -0.26032 142 473,333 0.23747 0.36767 129,787 0.92670 0.01548 -0.23697 143 476,667 0.17645 133,849 129,784 0.92258 0.00344 -0.17642 Trajetória 4ª fase Frame Time Vel Acce X Y VelX VelY 1 0.03333 0.00000 0.00000 180,247 0.37937 0.00000 0.00000 2 0.06667 0.00000 0.00000 180,306 0.37898 0.00000 0.00000 3 0.10000 0.02282 0.00000 180,374 0.37853 0.01908 -0.01253 4 0.13333 0.02211 0.00000 180,450 0.37866 0.02159 -0.00475 5 0.16667 0.02800 0.48926 180,504 0.37987 0.01951 0.02009 6 0.20000 0.03921 0.59272 180,572 0.38097 0.01839 0.03463 7 0.23333 0.04752 0.38278 180,603 0.38288 0.01477 0.04516 8 0.26667 0.05869 0.35066 180,657 0.38479 0.01268 0.05730 9 0.30000 0.06351 0.32641 180,622 0.38711 0.00296 0.06344 10 0.33333 0.06779 0.29163 180,632 0.38930 -0.00375 0.06769 11 0.36667 0.07175 0.16182 180,694 0.39184 0.01072 0.07094 12 0.40000 0.08371 0.39711 180,757 0.39474 0.01879 0.08157 13 0.43333 0.09769 0.39120 180,770 0.39831 0.01147 0.09701 14 0.46667 0.11463 0.55517 180,771 0.40238 0.00212 0.11461 15 0.50000 0.11360 0.35263 180,735 0.40588 -0.00531 0.11348 16 0.53333 0.11564 0.42302 180,598 0.40989 -0.02602 0.11268 17 0.56667 0.12402 0.75841 180,363 0.41326 -0.05580 0.11076 18 0.60000 0.12259 0.75478 180,104 0.41641 -0.07405 0.09769 19 0.63333 0.12178 0.39060 179,853 0.41958 -0.07640 0.09483 20 0.66667 0.13235 0.14680 179,575 0.42347 -0.07933 0.10594 21 0.70000 0.13584 0.24151 179,243 0.42628 -0.09151 0.10039 22 0.73333 0.13592 0.49505 178,872 0.42919 -0.10544 0.08576 23 0.76667 0.14120 0.57073 178,445 0.43127 -0.11972 0.07486 24 0.80000 0.15817 0.54988 177,939 0.43409 -0.14002 0.07357 25 0.83333 0.17405 0.65282 177,366 0.43553 -0.16186 0.06399 26 0.86667 0.20254 104,669 176,611 0.43653 -0.19920 0.03661 27 0.90000 0.23421 121,374 175,814 0.43721 -0.23285 0.02516 28 0.93333 0.23053 0.60591 175,076 0.43725 -0.23028 0.01080 29 0.96667 0.19964 0.55822 174,484 0.43779 -0.19945 0.00875 30 100,000 0.13592 142,171 174,170 0.43739 -0.13590 0.00205 31 103,333 0.07519 189,236 173,987 0.43717 -0.07460 -0.00937 32 106,667 0.03081 161,505 173,977 0.43669 -0.02896 -0.01050 33 110,000 0.02369 148,310 174,144 0.43732 0.02358 0.00234 34 113,333 0.06100 137,639 174,367 0.43783 0.05856 0.01706 35 116,667 0.07014 0.70477 174,594 0.43858 0.06754 0.01892 36 120,000 0.07090 0.16263 174,811 0.43945 0.06659 0.02434 37 123,333 0.05695 0.23449 174,943 0.44008 0.05232 0.02249 38 126,667 0.04367 0.47361 175,045 0.44118 0.03506 0.02603 39 130,000 0.03733 0.42773 175,106 0.44197 0.02439 0.02825 40 133,333 0.02802 0.32645 175,134 0.44283 0.01335 0.02464 41 136,667 0.01587 0.39164 175,115 0.44302 0.00145 0.01580 42 140,000 0.00627 0.42672 175,098 0.44304 -0.00538 0.00322 43 143,333 0.01270 0.40216 175,055 0.44243 -0.00912 -0.00884 44 146,667 0.02405 0.37332 175,016 0.44166 -0.01226 -0.02070 45 150,000 0.02785 0.25639 174,986 0.44070 -0.01026 -0.02590 46 153,333 0.03261 0.21238 174,988 0.43951 -0.00420 -0.03234 47 156,667 0.03825 0.26431 175,002 0.43816 0.00238 -0.03818 48 160,000 0.04553 0.24631 175,029 0.43650 0.00611 -0.04512 49 163,333 0.04620 0.15081 175,066 0.43515 0.00958 -0.04520 50 166,667 0.03917 0.23861 175,150 0.43418 0.01814 -0.03471 51 170,000 0.04201 0.37120 175,261 0.43314 0.02924 -0.03017 52 173,333 0.04630 0.23255 175,372 0.43205 0.03341 -0.03206 53 176,667 0.04274 0.03897 175,471 0.43121 0.03150 -0.02889 54 180,000 0.03738 0.15500 175,572 0.43056 0.02999 -0.02230 55 183,333 0.03566 0.22926 175,690 0.43030 0.03294 -0.01367 56 186,667 0.03263 0.27998 175,788 0.43031 0.03241 -0.00380 57 190,000 0.02267 0.30134 175,840 0.43053 0.02241 0.00343 58 193,333 0.01918 0.38728 175,878 0.43122 0.01342 0.01370 59 196,667 0.02757 0.34199 175,927 0.43214 0.01312 0.02425 60 200,000 0.03543 0.30778 175,945 0.43348 0.01013 0.03395 61 203,333 0.03915 0.25457 175,957 0.43474 0.00453 0.03889 62 206,667 0.03785 0.11001 175,971 0.43599 0.00380 0.03766 63 210,000 0.04016 0.02009 175,982 0.43740 0.00375 0.03998 64 213,333 0.04073 0.09740 175,958 0.43871 -0.00194 0.04069 65 216,667 0.03936 0.13615 175,947 0.44000 -0.00527 0.03901 66 220,000 0.03240 0.12508 175,950 0.44086 -0.00123 0.03238 67 223,333 0.02494 0.27775 175,987 0.44162 0.00589 0.02423 68 226,667 0.02309 0.24951 176,019 0.44224 0.01048 0.02057 69 230,000 0.02016 0.15110 176,066 0.44270 0.01199 0.01621 70 233,333 0.02570 0.07549 176,123 0.44360 0.01552 0.02049 71 236,667 0.04258 0.33696 176,246 0.44489 0.02699 0.03294 72 240,000 0.06378 0.57153 176,370 0.44707 0.03701 0.05195 73 243,333 0.08616 0.67816 176,515 0.44997 0.04037 0.07612 74 246,667 0.12324 0.94935 176,670 0.45471 0.04499 0.11473 75 250,000 0.16276 126,062 176,725 0.46062 0.03148 0.15969 76 253,333 0.19287 132,606 176,694 0.46757 0.00358 0.19284 77 256,667 0.23762 146,345 176,528 0.47633 -0.02961 0.23576 78 260,000 0.31482 206,496 176,192 0.48795 -0.07526 0.30569 79 263,333 0.41519 275,695 175,774 0.50296 -0.11315 0.39948 80 266,667 0.51917 306,982 175,457 0.52177 -0.11021 0.50733 81 270,000 0.64480 372,378 175,373 0.54576 -0.06010 0.64199 82 273,333 0.78659 471,854 175,698 0.57416 0.03620 0.78576 83 276,667 0.95170 566,179 176,559 0.60809 0.17795 0.93491 84 280,000 575,417 9,796,705 167,591 0.19921 -121,604 -562,421 85 283,333 608,277 10,551,519 168,297 0.21108 -123,929 -595,519 86 286,667 0.33684 8,636,269 169,777 0.19404 0.32779 -0.07754 87 290,000 0.34174 8,795,438 169,672 0.19291 0.20620 -0.27252 88 293,333 0.02435 519,274 169,686 0.19269 -0.01361 -0.02019 89 296,667 0.01184 509,840 169,618 0.19233 -0.00806 -0.00867 90 300,000 0.02335 0.05911 169,621 0.19128 -0.00980 -0.02119 91 303,333 0.28915 445,416 171,544 0.19145 0.28885 -0.01323 92 306,667 0.28338 441,492 171,509 0.19164 0.28333 0.00537 93 310,000 0.00233 436,073 171,534 0.19157 -0.00148 0.00180 94 313,333 0.00482 419,581 171,534 0.19185 0.00362 0.00319 95 316,667 0.00899 0.10834 171,530 0.19217 -0.00062 0.00897 96 320,000 0.00869 0.10594 171,528 0.19243 -0.00087 0.00865 97 323,333 0.02692 0.27082 171,542 0.19396 0.00175 0.02687 98 326,667 0.02122 0.18806 171,511 0.19383 -0.00250 0.02108 99 330,000 0.01848 0.67448 171,500 0.19280 -0.00629 -0.01737 100 333,333 0.00911 0.26258 171,458 0.19413 -0.00796 0.00444 101 336,667 0.01232 0.44818 171,487 0.19361 -0.00189 0.01218 102 340,000 0.01671 0.36649 171,498 0.19309 0.00604 -0.01558 103 343,333 0.00997 0.33358 171,488 0.19295 0.00010 -0.00997 104 346,667 0.00714 0.28105 171,541 0.19330 0.00640 0.00315 105 350,000 0.25961 389,254 173,218 0.19260 0.25956 -0.00522 106 353,333 0.26539 387,443 173,207 0.19926 0.24989 0.08934 107 356,667 0.10031 448,397 173,078 0.19914 -0.02095 0.09810 108 360,000 0.02738 439,120 173,038 0.19857 -0.02538 -0.01027 109 363,333 0.00995 159,759 173,034 0.19865 -0.00662 -0.00743 110 366,667 0.06441 137,152 173,459 0.19939 0.06322 0.01232 111 370,000 0.06920 115,826 173,489 0.19942 0.06822 0.01160 112 373,333 0.01353 101,004 173,432 0.20025 -0.00412 0.01289 113 376,667 0.02260 118,519 173,420 0.20076 -0.01033 0.02009 114 380,000 0.05659 103,986 173,404 0.19649 -0.00416 -0.05643 115 383,333 0.06491 130,344 173,508 0.19652 0.01322 -0.06355 116 386,667 0.03408 0.47757 173,277 0.19460 -0.01902 -0.02828 117 390,000 0.04574 0.89173 173,273 0.19458 -0.03526 -0.02914 118 393,333 0.00322 0.46302 173,266 0.19442 -0.00165 -0.00276 119 396,667 0.00906 0.72917 173,246 0.19512 -0.00403 0.00812 120 400,000 0.17508 258,001 172,981 0.18310 -0.04284 -0.16976 121 403,333 0.19473 303,323 173,051 0.18229 -0.02938 -0.19251 122 406,667 0.05934 173,684 172,897 0.17924 -0.01260 -0.05799 123 410,000 0.04872 357,433 172,934 0.18532 -0.01747 0.04549 124 413,333 0.08541 216,268 172,916 0.18493 0.00287 0.08536 125 416,667 0.11055 227,871 173,566 0.18153 0.09481 -0.05685 126 420,000 0.12233 285,722 173,502 0.17925 0.08787 -0.08510 127 423,333 0.02650 158,745 173,524 0.17981 -0.00634 -0.02573 128 426,667 0.02140 180,817 173,617 0.18009 0.01729 0.01262 129 430,000 0.01060 0.55280 173,558 0.18043 0.00504 0.00932 130 433,333 0.02176 0.45973 173,530 0.18126 -0.01297 0.01746 131 436,667 0.02241 0.23827 173,527 0.18190 -0.00462 0.02193 132 440,000 0.01007 0.46779 173,589 0.18094 0.00885 -0.00482 133 443,333 0.01510 0.54264 173,596 0.18116 0.01033 -0.01102 134 446,667 0.04077 0.73039 173,500 0.18351 -0.01336 0.03852 135 450,000 0.22288 352,607 173,444 0.19594 -0.02268 0.22172 136 453,333 0.61920 984,215 173,021 0.14250 -0.07187 -0.61501 137 456,667 0.80953 1,544,556 173,044 0.14212 -0.06001 -0.80730 138 460,000 0.00664 920,984 173,044 0.14213 0.00346 -0.00566 139 463,333 0.00335 1,213,525 173,022 0.14211 -0.00334 -0.00027 140 466,667 0.02185 0.24914 173,043 0.14067 -0.00025 -0.02185 141 470,000 0.04114 0.63947 173,155 0.13971 0.01995 -0.03598 142 473,333 0.00924 0.21645 173,072 0.14013 0.00433 -0.00817 143 476,667 0.03162 106,294 172,981 0.14090 -0.02604 0.01793
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