$2.(5$ pts$)$ When last we left our hero, Wile E$.$ Coyote $($SuperGenius$),$ he was hurtling backwards with a great deal of speed. In the interim, he has managed to turn himself around so that he is facing forward and can witness his impending doom. During this process, he has reduced his speed and therefore impacts the canyon wall with an impulse of $1\mathrm{.}21104$ kg$$m$/$s$.$ His mass and that of his gear is still $47\mathrm{.}5$ kg$.$ He remains in contact with the wall for $0\mathrm{.}0525$ s and then rebounds with a speed of $89\mathrm{.}5$ m$/$s in the opposite direction. $($a$)$ What is the magnitude of velocity with which Wile E$.$ Coyote encounters the canyon wall? $($b$)$ What average force does Wile E$.$ Coyote experience during his encounter with the canyon wall?