A worker at the Hoover Dam bypass bridge was spending his lunch break tossing a football. He threw the ball upward
with an initial velocity of 10 feet per second but missed
the ball, and it went over his head and down toward the
river. The height of the football above the Colorado River
at any time t can be described by the polynomial function
P(t) = -16t2 + 10t + 910. Find the height of the football
at each given time.

a. t = 0 seconds
1

b. t = second
2

c. t = 3 seconds

d. t = 5 seconds

e. Explain why the height increases and then decreases as time passes.

f. Approximate (to the nearest second) how long before
the football lands in the river.