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If a particle starts moving along a stra...

If a particle starts moving along a straight ine withinitial velocity u under contact acceleration a, its displacement with time is given by the relation `x=ut+(1)/(2)at^2`
Q. Differentiation of `x` w.r.t. `t` will be

A

`u+("at")/(2)`

B

`u+"at"`

C

`u+2"at"`

D

`(ut^(2))/(2)+(at^(3))/(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
`S=ut+(1)/(2)at^(2)`
`v=(dS)/(dt)=u+(1)/(2)axx2t=u+at`
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