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A car of mass m starts from rest and acc...

A car of mass `m` starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude `P_(0)`. The instantaneous velocity of this car is proportional to

A

`t^2 P_0`

B

`t^(1//2)`

C

`t^(-1//2)`

D

`t/sqrtm`

Text Solution

Verified by Experts

The correct Answer is:
B
`P_(0)= (ma) v= (mv^2)/t`
`implies v=sqrt((P_0t)/m) implies v prop t^(1//2)`
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