Aula 02 Movimento Retilineo

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http://profanderson.net 
anderson.gaudio@ufes.br 
Prof. Anderson Coser Gaudio 
TecnoLab – Depto. Física – CCE - UFES 
5 mx 
( )x m
AB B Ax x x  
xA xB
x
A B
 ©2004 by Pearson Education 
B Ar r r  s
B As s s  
( )t s
( )t s
3 st 
( )t s
   5 s 3 s 2 st   
,
AB B A
m AB
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x x x
v
t t t
 
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m
x
v
t
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
m
x
v
t

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
 ©2004 by Pearson Education 
em
s
v
t


0 mf ix x x   
0 m/sm
x
v
t

 

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 
100,0 m
2,076 m/s
48,17 s
em
s
v
t

  

0
lim
t
x dx
v
t dt 

 

dx
dt
29 km/hv 
1 40 m/s
dx
v
dt
 
 ©2004 by Pearson Education 
 ©2004 by Pearson Education 
 ©2004 by Pearson Education 
ev v
,
AB B A
m AB
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v v v
a
t t t
 
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v
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 ©2002 by John Wiley & Sons 
   
   
2
90 m/s 0 m/s 90 m/s
24 m/s
3,8 s 0,0 s 3,8 s
f i
m
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0 m/s 130 m/s 130 m/s
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f i
m
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143 m/s 0 m/s 143 m/s
32 m/s
4,5 s 0,0 s 4,5 s
f i
m
f i
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a
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3ma g
100 m
10,2 m/s
9,85 s
m
x
v
t

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
210,152 m/s 1,03 m/s
9,85 s
m
v
a
t

  

a 0v 
0 35 m 100 m
av v 0a av v 0a 
rmvma
2
20
lim
t
v dv d x
a
t dt dt 

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dt
2
2
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 ©2004 by Pearson Education 
0
lim t t t
t
v v dv
a
t dt

 

 

 ©2002 by John Wiley & Sons 
 ©2004 by Pearson Education 
 ©2004 by Pearson Education 
 ©2004 by Pearson Education 
02 1
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 
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0
1
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x x vt at  
0t
1t
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 ©1985 by Caltech and INTELCOM 
0t 1t
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 ©1985 by Caltech and INTELCOM 
0t 1t
Bv
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 ©1985 by Caltech and INTELCOM 
0t 1t
BvMBv
 ©1985 by Caltech and INTELCOM 
5v
4v3
v
 ©1985 by Caltech and INTELCOM 
2v1
v 0 0v 
  2s t t
  2s t ct
 ©1985 by Caltech and INTELCOM 
0
lim
t
x dx
v
t dt 

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
0
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0
m
x
v v
t

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
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   
0 0
lim lim
t t
s t t s ts
v
t t   
 
 
 
2 2 2
0
2
lim
t
ct ct t c t ct
v
t 
    


0
lim 2
t
v ct c t
 
  
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2 2
0
lim
t
c t t ct
v
t 
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
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0
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lim
t
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v
t 
  
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
2v ct
  2v t ct
   
0 0
lim lim
t t
v t t v tv
a
t t   
 
 
 
0
2 2 2
lim
t
ct c t ct
a
t 
  


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0
2 2
lim
t
c t t ct
a
t 
 


2a c
0
2
lim
t
c t
a
t 



0
lim 2
t
a c
 

 v t gt  2
1
2
s t gt
a g
2a g c 
2
g
c 
g g g g
P
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0v v at 
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0
0
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v v
x x t
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0
1
2
x x vt at  
0v v gt 
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0 0
1
2
y y v t gt  
 2 20 02v v g y y  
0
0
2
v v
y y t
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   
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2
0
1
2
y y vt gt  
x y
 ©2004 by Pearson Education 
dx
v
dt

dv
a
dt

v adt 
x vdt 
 d y z dy dz
dx dx dx

 
 d yz dz dy
y z
dx dx dx
 
dy dy dx
dt dx dt

0 (a constante)
da
dx
 
1n nd x nx
dx

sen cos
d
x x
dx

cos sen
d
x x
dx
 
v adt at  2
0
1
2
x vdt v t at  
 ©2004 by Pearson Education