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A car drives along a straight level fric...

A car drives along a straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to

A

`t`

B

`(1)/(sqrt(t))`

C

`sqrt(t)`

D

`t^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P = Fv = m (dv)/(dt)v`, Hence, `vdv = (P )/(m)dt`
On integration, we find `v prop sqrt(t)`
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