A particle of mass m executes simple harmonic motion with amplitude $a$ and frequency $v$. The average kinetic energy during its motion from the position of equilibrium to the end is :

Question

( A ) $\frac{1}{4} m a^2 v^2$
( B ) $\pi^2 m a^2 v^2$
( C ) $4 \pi^2 ma^2v^2$
( D ) $2 \pi^2 ma^2v^2$