A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by $\displaystyle {h}{\left({t}\right)}=-{16}{t}^{{2}}+{96}{t}+{880}$.

What is the rocket's maximum height?
feet

How long does it take for the rocket to reach its maximum height?
seconds

After it is fired, the rocket reaches the ground at t= seconds