Q: A body of mass m accelerates uniformly from rest to velocity v_{0} in time t_{0} , find the instantaneous power delivered to body when velocity is v_{0}/2.

Sol: Acceleration $\large a = \frac{v_0}{t_0} $

Force , $\large F = m \frac{v_0}{t_0} $

Instantaneous power , $\large P = F. \frac{v_0}{2} = (m \frac{v_0}{t_0})\frac{v_0}{2} $

$\large P = \frac{m v_0^2}{2 t_0} $