A body of mass m accelerates uniformly from rest to velocity `v_(0)` in time `t_(0)`. What is the instantaneous power delivered to the body when its velocity is `(v_(0))/(2)` ?

Options

A. `mv_(0)^(2)/t_(0)`
B. `mv_(0)/2t_(0)`
C. `mv_(0)^(2)/2t_(0)`
D. `mv_(0)/3t_(0)`

Answer

`(3)`

Explanation

Acceleration ` a = (v_(0))/(t_(0)), Force F = (mv_(0))/(t_(0))`
Instantaneous power `P = F.(v_(0))/(2) = ((mv_(0))/(t_(0)))(v_(0))/2 = (mv_(0)^(2))/(2t_(0))`