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

A

$$\pi^2 m a^2 v^2$$

B

$$\frac{1}{4} \pi^2 m a^2 v^2$$

C

$$4 \pi^2 m a^2 v^2$$

D

$$2 \pi^2 m a^2 v^2$$