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))/(4t_(0))`
B. `(mv_(0)^(2))/(t_(0))`
C. `(mv_(0)^(2))/(2t_(0))`
D. None of the above

Answer

C

Explanation

Acceleration `a = (v_(0))/(t_(0))`
Force on the body `F = (mv_(0))/(t_(0))`
Instantaneous Power `= P = (mv_(0))/(t_(0)) (v_(0))/(2) = (mv_(0)^(2))/(2t_(0))`