Chapter 12.1, Problem 53E

Work the given exercises. (See Examples 5 and 9.)

Baseball Toss You stand on a hotel balcony 48 feet above the ground and Iob a baseball directly upward. You miss your catch as the ball comes down, so it falls to the vacant parking lot below. The height of the ball (in feet above the ground) after tseconds is given by

$\text{h}\left(\text{t}\right)\text{=-16t2+32t+48}\text{.}$

At what time does the ball reach its maximum height?

What is the maximum height of the ball?

At what time does the ball hit the ground? [Hint: Solve $\text{h}\left(\text{t}\right)\text{=0}$.]

What is the velocity of the ball when it hits the ground (this is called the impact velocity)?