A body of mass m, accelerates uniformly from rest to `v_(1)` in time `t_(1)`. The instantaneous power delivered to the body as a function of time is :

Options

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

Answer

b

Explanation

Here, applying v=u+at
`v_1=at_1` or `a=(v_1)/(t_1)`
Also `v=at=(v_1)/(t_1)xxt`
Power=`|vecF.vecv|=mav`
=`m[(v_1)/(t_1)xx1][v_1/t_1]=(mv_1^2t)/(t_1^2)`