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A heavy body is moved by a machine which...

A heavy body is moved by a machine which provides constant power till time t. the distance covered 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 implies a=(F)/(m)=(Pt)/(sm) and s=(1)/(2)at^(2)` ?
`therefore s=(1)/(2)xx(Pt)/(sm)t^(2)`
`therefore s prop t^(3//2)`
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