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

Question

$\begin{array}{1 1} (1) \frac{A}{3} \sqrt{41} \\ (2) 3A \\ (3) A \sqrt 3 \\ (4) \large\frac{7A}{3} \end{array}$