Answer
911 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 $t=\frac{1}{2}$ second, we can calculate the value of $P(\frac{1}{2})$.
$P(\frac{1}{2})=-16(\frac{1}{2})^{2}+10(\frac{1}{2})+910=-16(\frac{1}{4})+5+910=-4+5+910=911$ feet