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The intial velocity of a particle is u (...

The intial velocity of a particle is u (at t=0) and the acceleration is given by f=at. Which of the following relations is valid ?

A

`v=u+at^(2)`

B

`v=u+(at^(2))/(2)`

C

`v=u+at`

D

v=u

Text Solution

Verified by Experts

The correct Answer is:
B
as f=at
`(dv)/(dt)=at rArr int_(u)^(v)dv=int_(0)^(f)`at dt
`(v-u)=(at^(2))/(2) rArr v=u+(1)/(2)at^(2)`
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