Problem $1$

A man throws a ball in the vertical direction off the side of a $200$ ft $,$ vertical cliff as shown. If the initial

velocity of the ball is $100\frac{ft}{sec},$ determine a$)$ the maximum height h reached by the ball with respect to

ground level, and b$)$ the velocity of the ball just before it hits ground level. The ball is subjected to a

constant downward acceleration of $32\mathrm{.}2$ ft$/$sec$^2.$