Velocity Questions

A point performs simple harmonic oscillation of period $T$ and the equation of motion is given by $x=a\sin (\omega t+\pi /6)$. After the elapse of what fraction of the time period will the velocity of the point be equal to half of its maximum velocity?

The velocity of electromagnetic radiation in a medium of permittivity $ϵ$ and permeability $\mu$ is given by:

A simple pendulum performs simple harmonic motion about $x=0$ with an amplitude $a$ and time period $T$. The speed of the pendulum at $x=a/2$ will be: