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A body starts from rest and acquires vel...

A body starts from rest and acquires velocity `V` in time `T`. The instantaneous power delivered to the body in time 't' proportional to

A

`(v//T)t`

B

`(v^(2)//T)t^(2)`

C

`(v^(2)//T^(2))t`

D

`(v^(2)//T^(2))t^( 2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`KE=(1//2)mv^(2)=m/2(at)^(2)`
`=m/2 (v/T t)^(2) :. a=(Deltav)/(Delta t)=v/T`
`K.E. prop (v^(2))/(T^(2))t^(2)`
Hence (D) is correct.
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