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

Options

A. `t^2 P_0`
B. `t^(1//2)`
C. `t^(-1//2)`
D. `t/sqrtm`

Answer

B

Explanation

`P_(0)= (ma) v= (mv^2)/t`
`implies v=sqrt((P_0t)/m) implies v prop t^(1//2)`