A body of mass `m` is accelerated uniformly from rest to a speed `v` in a time `T` . The instantaneous power delivered to the body as a function of time is given by

Options

A. `m(v^2)/(T^2) t`
B. `m(v^2)/(T^2) t^2`
C. `m(v^2)/(2T^2) t^`
D. `m(v^2)/(2T^2) t^2`

Answer

A

Explanation

Work done on the body is equal to gain in the kinetic energy.
Acceleration of the body :`a = V//T`
Velocity equired in time `t : v = at = (V)/(T) t`
Now `KE acquired prop v^(2)`
So Work done `prop (V^(2) t^(2))/(T^(2))`