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

Options

A. `(1)/(2) (mv^(2))/(T^(2)) t^(2)`
B. `(1)/(1) (mv^(2))/(T^(2)) t`
C. `(mv^(2))/(T^(2)) t^(2)`
D. `(mv^(2))/(T^(2)) t`

Answer

D

Explanation

` {:(,V=aT,,V=at,),(a=V//T,,V=(V)/(T)t,,):}`
Power `= FV = mav`
=`m((V)/(T)t)((V)/(T))`
=`m (V^(2))/(T^(2)) t`.