aula 02-movimento retilineo

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

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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

AB B A

x x xv

t t t

m

xv

t

m

xv

t

©2004 by Pearson Education

em

sv

t

0 mf ix x x

0 m/sm

xv

t

100,0 m2,076 m/s

48,17 sem

sv

t

0limt

x dxv

t dt

dx

dt

29 km/hv

1 40 m/sdx

vdt

©2004 by Pearson Education

©2004 by Pearson Education

©2004 by Pearson Education

ev v

,AB B A

m AB

AB B A

v v va

t t t

m

va

t

©2002 by John Wiley & Sons

2

90 m/s 0 m/s 90 m/s24 m/s

3,8 s 0,0 s 3,8 s

f i

m

f i

v va

t t

2,4ma g

2

0 m/s 130 m/s 130 m/s46 m/s

2,8 s 0,0 s 2,8 s

f i

m

f i

v va

t t

4,6ma g

2

143 m/s 0 m/s 143 m/s32 m/s

4,5 s 0,0 s 4,5 s

f i

m

f i

v va

t t

3ma g

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

0a a

v v

0a

r

mv

ma

2

20limt

v dv d xa

t dt dt

dv

dt

2

2

d x

dt

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0lim t t t

t

v v dva

t dt

©2002 by John Wiley & Sons

©2004 by Pearson Education

©2004 by Pearson Education

©2004 by Pearson Education

02 1

2 1 0

v vv va

t t t

0v v at

02 1

2 1 0m

x xx xv

t t t

0

m

x xv

t

0

2m

v vv

1 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

0t 1t

Bv

Mv

©1985 by Caltech and INTELCOM

0t 1t

Bv

MBv

©1985 by Caltech and INTELCOM

0t 1t

Bv

MBv ©1985 by Caltech and INTELCOM

0t 1t

BvMBv

©1985 by Caltech and INTELCOM

5v

4v

3v

©1985 by Caltech and INTELCOM

2v

1v

0 0v

2s t t

2s t ct ©1985 by Caltech and INTELCOM

0limt

x dxv

t dt

0 ???

0m

xv v

t

2s t ct

0 0

lim 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 0

lim 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

v t gt 21

2s t gt a g

2a g c 2

gc

g g g g

P

D

0P D

P

1 2P m m g

0a a g

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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dxv

dt

dva

dt

v adt

x vdt

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

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