a particle moving along a x axis has acceleration f, at a time t, given by f=fo(1-t/T) where fo and T are constant . The particle at t=0 has zero velocity.When f=0 , the particle 's velocity is
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Givenf=f
0
(1−
T
t
)wheref
0
andT=constant
Att=0v=0
Whenf=0,than
0=f
0
(1−
T
t
)
T=t−−−−−−(1)
weaccelerationf=
Time
final−initialvelocity
dt
dv
=f
0
(1−
T
t
)
∫dv=∫f
0
(1−
T
t
)dt
v=f
0
(t−
2T
t
2
)
Fromequtaion1wegett=T
v=
2
1
f
0
T
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