The maximum height reached by the ride is 169.39 feet.
Solution:
Given equation:
[tex]h=-16 t^{2}+101 t+10[/tex]
Here, vertex = 101.
[tex]$\text{Time}=\frac{-\text{vertex}}{2(-16)}[/tex]
[tex]$=\frac{-101}{-32}[/tex]
Time = 3.15625
t = 3.15625 sec
Substitute this in height equation.
[tex]h=-16 (3.15625 )^{2}+101 (3.15625 )+10[/tex]
= –159.39 + 318.78 + 10
= 169.39
h = 169.39 feet
The maximum height reached by the ride is 169.39 feet.
