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The initial velocity of a particle is u ...

The initial velocity of a particle is u (at t = 0) and the acceleration f is given by f = at. Which of the following relation 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
Acceleration, `f = (dv)/(dt) = at " or " dv = atdt`
Integrate it on both sides , we get `int_(u) ^(v) dv = int_(0)^(t) atdt`
`v -u =(at^2)/2 " or " v = u +(at^2)/2`
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