A football is thrown across the field by a quarterback of height 5.75 feet. The function h(t) = 5.75 + 35t − 16t
2 measures the football’s height after t seconds. At what time does the
football hit the ground, and what is the maximum height of the football? Suppose another
quarterback who is 6 feet tall throws the football, measured by the function h(t) = 35t−16t
2
.
Determine when the football would hit the ground the taller quarterback. Based on your
results, does the players height have a large effect on the time the football spends in the air?