A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that it is at a distance $\frac{2A}{3} $ from equilibrium position. The new amplitude of the motion is :

Question

( A ) $\frac{7A}{3}$
( B ) $A\sqrt{3}$
( C ) $\frac{A}{3} \sqrt{41}$
( D ) $3A$