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A body is moved along a straight line by...

A body is moved along a straight line by a machine delivering constant power . The distance moved by the body is time `t` is proptional to

A

`t^(3//4)`

B

`t^(3//2)`

C

`t^(1//4)`

D

`t^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`P = Fv`
`P = mav`
`P = m(dv)/(dt).v`
`int vdv = int(P)/(m)dt`
`v^(2) prop t`
`v prop t^(1//2)`
`(dx)/(dt) prop t^(1//3)`
`dx prop t^(1//3) dt`
`x prop t^(2//3)`
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