Chapter 2, Problem 17P

At time $t=0$, a hail is thrown vertically from the top of the building at a speed of 56ft/s, as shown in Fig. P2.17.The height of the bill at time t is given by

$h\left(t\right)=32+56t-16t^2$

(a) Find the value(s) the time when $h\left(t\right)=32\text{ft}$.

(b) Find the lime required log the ball to hit the ground.

(c) Use the results to determine the maximum height, and sketch the height h (s ) of the ball.