Answer
560 feet
Work Step by Step
We are given that the height of the football above the Colorado River at any time t can be described by the polynomial function $P(t)=-16t^{2}+10t+910$.
In order to find the height at $t=5$ seconds, we can calculate the value of $P(5)$.
$P(5)=-16(5)^{2}+10(5)+910=-16(25)+50+910=-400+50+910=560$ feet