A ball of mass $\mathrm{.}45$ kg has an initial velocity of $12$ m$/$s and moves at an angle of $32\backslash$deg above the $+$x$-$direction. The ball hits a vertical wall and bounces off so that it is moving $32\backslash$deg above the $-$x$-$direction with the same speed.

$($a$)$ What is the magnitude of the impulse delivered by the wall?