A point performs simple harmonic oscillation of period T and the equation of motion is given by x = a sin ($(\omega t+\frac{\pi}{6})$). 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

( A ) $\frac{T}{8}$
( B ) $\frac{T}{3}$
( C ) $\frac{T}{12}$
( D ) $\frac{T}{6}$