$KE =\frac{1}{2} m \omega^2\left( A ^2- x ^2\right)$
When $x =0, KE$ is maximum and when $x = A , KE$ is zero and $KE V / S x$ graph is parabola.
$x = a\,\sin \,\left( {\omega t + \pi /6} \right)$
After the elapse of what fraction of the time period the velocity of the particle will be equal to half of its maximum velocity?