Algebra2 Need help

Question

h(t) = - 16t ^ 2 + 80t, where h represents the height of the rocket . What is the height of the rocket at the highest point

Answer 1

This is a parabola, as in at²+bt+c. The vertex of this down opening parabola is the highest point.

It's vertex is when t = -b/2a = -80/(2(-16)) = 40/16 = 2.5

h(2.5) = -16(2.5)²+80(2.5) = 100