A body of mass m accelerates uniformly from rest to `v_1` in time `t_1`. As a function of time t, the instantaneous power delivered to the body is

Options

A. `(m_(1)v_(1)t//t_(1))`
B. `(mv_(1)^(2)t//t_(1))`
C. `(mv_(1)^(2)t//t_(1)^(2))`
D. `(mv_(1)t^(2)//t_(1))`

Answer

c

Explanation

`P = F xx v = mav = m (v_(1)//t_(1)) (v_(1)t//t_(1)) = mv_(1)^(2)t//t_(1)^(2)`