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

  $4{\mathrm{π}}^2{\mathrm{ma}}^2{\mathrm{v}}^2$

• B

  $2{\mathrm{π}}^2{\mathrm{ma}}^2{\mathrm{v}}^2$

• C

  ${\mathrm{π}}^2{\mathrm{ma}}^2{\mathrm{v}}^2$

• D

  $\frac{1}{4}{\mathrm{ma}}^2{\mathrm{v}}^2$