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1/4/2008
1
2 – Movimento Retilíneo
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2
5 mx( )x m
5 mr i
AB B Ax x xxA xB
x
A B
B Ax xr i
r
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2 1r r r
1r
2r
©2004 by Pearson Education
©2002 by John Wiley & Sons
1/4/2008
4
Deslocamento:
B Ar r r
Distância:
sB As s s
( )t s
3 st
5 s 3 s 2 st
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,AB B A
m AB
AB B A
x x xv
t t t
m
xv
t
m
xv
t
,
52 m 30 m 22 m2,2 m/s
10 s 0 s 10 s
B Am AB
B A
x xv
t t
©2002 by John Wiley & Sons
1/4/2008
6
t
x
tanx
t
©2004 by Pearson Education
em
sv
t
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7
Deslocamento:
0 mf ix x x
Velocidade média:
0 m/sm
xv
t
Velocidade escalar média:
100,0 m2,076 m/s
48,17 sem
sv
t
0limt
x dxv
t dt
dx
dt
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8
29 km/hv
0lim t t t
t
x x dxv
t dt©2002 by John Wiley & Sons
1/4/2008
9
1
160 mtan 40 m/s
4,0 s
dxv
dt
4,0 s
160 m
©2004 by Pearson Education
©2004 by Pearson Education
1/4/2008
10
©2004 by Pearson Education
ev v
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11
,AB B A
m AB
AB B A
v v va
t t t m
va
t
©2002 by John Wiley & Sons
2100 m/s 0 m/s 100 m/s
20 m/s5,0 s 0,0 s 5,0 s
f i
m
f i
v va
t t2ma g
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20 m/s 100 m/s 100 m/s
26 m/s3,8 s 0,0 s 3,8 s
f i
m
f i
v va
t t2,5ma g
2143 m/s 0 m/s 143 m/s
32 m/s4,5 s 0,0 s 4,5 s
f i
m
f i
v va
t t3ma g
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100 m10,2 m/s
9,85 sm
xv
t
210,152 m/s1,03 m/s
9,85 sm
va
t
a
0v
0 35 m 100 m
a
v v
0aa
v v
0a
r
mv
ma
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15
2
20limt
v dv d xa
t dt dt
dv
dt
2
2
d x
dt
©2004 by Pearson Education
1/4/2008
16
0lim t t t
t
v v dva
t dt
©2002 by John Wiley & Sons
©2004 by Pearson Education
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17
©2004 by Pearson Education
©2004 by Pearson Education
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02 1
2 1 0
v vv va
t t t0v v at
02 1
2 1 0m
x xx xv
t t t0
m
x xv
t
0
2m
v vv1 2
2m
v vv
2
0 0
1
2x x v t at
0v v at
0v v at
2
0 0
1
2x x v t at
2 2
0 02v v a x x
00
2
v vx x t
2
0
1
2x x vt at
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20
0t
1t
Bv
Mv
©1985 by Caltech and INTELCOM
0t
1t
Bv
MBv
©1985 by Caltech and INTELCOM
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21
0t
1t
Bv
MBv©1985 by Caltech and INTELCOM
0t
1t
BvMBv
©1985 by Caltech and INTELCOM
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22
v
v
v
©1985 by Caltech and INTELCOM
1/4/2008
23
2s t t
2s t ct©1985 by Caltech and INTELCOM
0limt
x dxv
t dt
0 ???
0m
xv v
t
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2s t ct
0 0lim limt t
s t t s tsv
t t
2 2 2
0
2limt
ct ct t c t ctv
t
0lim 2t
v ct c t
2 2
0limt
c t t ctv
t
2
0
2limt
ct t c tv
t
2v ct
2v t ct
0 0lim limt t
v t t v tva
t t
0
2 2 2limt
ct c t cta
t
0
2 2limt
c t t cta
t
2a c
0
2limt
c ta
t
0lim 2t
a c
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v t gt21
2s t gt a g
2a g c2
gc
g g g g
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P
D
0P D
P
1 2m mP g
0aa g
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a g
0v v at
2
0 0
1
2x x v t at
2 2
0 02v v a x x
00
2
v vx x t
2
0
1
2x x vt at
0v v gt
2
0 0
1
2y y v t gt
2 2
0 02v v g y y
00
2
v vy y t
2
0
1
2y y vt gt
x y
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©2004 by Pearson Education
dxv
dt
dva
dt
v adt
x vdt
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29
d y z dy dz
dx dx dx
d yz dz dyy z
dx dx dx
dy dy dx
dt dx dt
0 (a constante)da
dx
1n ndx nx
dx
sen cosd
x xdx
cos send
x xdx
v adt at 2
0
1
2x vdt v t at
©2004 by Pearson Education
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