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

Question

$\begin {array} {1 1} (1)\;\large\frac{T}{12} & \quad (2)\;\large\frac{T}{8} \\ (3)\;\large\frac{T}{6} & \quad (4)\;\large\frac{T}{3} \end {array}$