THE ANSWER IS NOT $0\mathrm{.}2113$ or $0\mathrm{.}691!!$ Required information

Two smooth balls, each of mass $m,$ have the velocities shown just before they collide. The velocity of A after impact is in the direction shown. Use $sin60=cos30=\sqrt[\phantom{2}]{\frac{3}{2}}$ and $sin30=cos60=\frac{1}{2}.$

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Determine the coefficient of restitution e for the impact. $($Round the final answer to four decimal places.$)$

The coefficient of restitution $e$ for the impact is $$