Question

The function h (t)= -5 + 20t +60 models the approximate height, in feet, of an object t seconds after it is launched. What is the objects maximum height?

Answer 1

Function h(t)=-5+20t+60

Simplofy the function

$\begin{gathered} h(t)=-5+20t+60 \\ h(t)=20t+55 \end{gathered}$

The object will ba at maximum height before launched, i.e at t=0

substitute t=0 and solve for h(t)

$\begin{gathered} h(t)=20t+55 \\ h(0)=20(0)+55 \\ h=55 \end{gathered}$

The maximum height is 55 unit.