Question

A toy rocket is launched straight up from the roof of a garage with an initial velocity of 56 feet per second. The height h of the rocket in feet, at t seconds after it was launched, is described by h(t)=−16t2+56t+17. Find the maximum height of the rocket.

Answer 1

recall that the vertex of a parabola is at

t = -b/2a

so evaluate h(t) there.