The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is $10^{-1}$ At, $t=0$ the displacement is $5\; m$. What is the maximum acceleration ? The initial phase is $\frac{\pi}{4}$

Question

$\begin{array}{1 1}(1)\; 500m/s^2 \\ (2)\; 500 \sqrt 2 m/s^2 \\ (3)\; 750 m/s^2 \\ (4)\; 750 \sqrt 2 m/s^2 \end{array} $