The maximum height reached by the object is _____ feet

Recall that to evaluate a function at a given value, we substitute the variable with the given value.
Evaluating h(t) at t=3.25 we get:
[tex]h(3.25)=-16(3.25)^2+104*3.25+4.[/tex]Simplifying the above result we get:
[tex]\begin{gathered} h(3.25)=-16*10.5625+338+4 \\ =173. \end{gathered}[/tex]Answer: The maximum height reached by the object is 173 feet