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? (Enter only the number rounded to the nearest tenth.)

Answer 1

7.5ft over the head of a 6 foot person
means
13.5 ft from the ground

basically solve for t, when h(t)=13.5

there will be 2 answers, pick the larger of the 2 numbers