Work done in time t on a body of mass m which is accelerated from rest to a speed v in time `t_(1)` as a function of time t is given by

Options

A. `(1)/(2)m(v)/(t_(1))t^(2)`
B. `m(v)/(t_(1))t^(2)`
C. `(1)/(2)((mv)/(t_(1)))^(2)t^(2)`
D. `(1)/(2)m(v^(2))/(t_(1)^(2))t^(2)`

Answer

d

Explanation

`a = v//t_(1), = at = (v//t_(1))t` K.E. ` = 1//2mv^(2) = 1//2 (vt//t_(1)^(2))^(2) = (1)/(2) mv^(2)t^(2)//t_(1)^(2)`.