how do I find the maximum height for a quadratic application?

Question

fireworks were shot up on top of a 100 foot hill their initial speed was 120 feet per second the function f(t)= -16t*2nd power + 120t + 100

Answer 1

f(t) = -16t² + 120t + 100

 

You have a height-vs.-time parabola.  The maximum occurs at the vertex, which is at

 

t = -120/[2(-16)] sec = ? sec

 

Evaluate f(t) at this value of t to get maximum height in feet.