Question

The height h in feet of a baseball hit from home plate can be modeled by the function h(t) = -16t2 + 32t + 5.5, where t is the time in seconds since the ball was hit. The ball is descending when it passes 7.5 feet over the head of a 6-foot player standing on the ground. To the nearest tenth of a second, how long after the ball is hit does it pass over the player's head? The horizontal distance between the player and home plate is 120 ft. Then use your answer from the previous question to determine the horizontal speed of the ball to the nearest foot per second.