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 b

Options

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

Answer

D

Explanation

`WD=DeltaK`
`=(1)/(2)m((v)/(t_(1)t))^(2)`