1. After the collision, $P$ goes on to hit a second smooth vertical wall, which is parallel to $i$.

The coefficient of restitution between $P$ and this second wall is $\frac{1}{3}$

The angle through which the direction of motion of $P$ has been deflected by its collision with this second wall is $\alpha ^{\circ}$.

Find the value of $\alpha$, giving your answer to the nearest whole number.