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A body is being moved from rest along a ...

A body is being moved from rest along a straight line by a machine delivering constant power. The distance covered by body in time t is proportional to

A

`t^(3//2)`

B

`t^(2)`

C

`t^(1//2)`

D

t

Text Solution

Verified by Experts

The correct Answer is:
A
As, `P= W//t= (Fs)/(t)`
`therefore F= ma rArr a= (F)/(m) = (Pt)/(sm) and s= (1)/(2) a t^(2)` ?
`therefore s= (1)/(2) xx (P t)/(sm) t^(2)`
`therefore s prop t^(3//2)`
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