Answer:
Step-by-step explanation:
The vertex will occur when t=-b/(2a) for the quadratic ax^2+bx+c
In this case
t=-200/(2(-16))
t=-200/-32
t=6.25
g(6.25)=-16(6.25^2)+200(6.25)
g(6.25)=625ft
So the maximum height of the rocket is 625 feet and it reaches this height at 6.25 seconds.
