Question

.A toy rocket is shot vertically into the air from a launching pad 5 feel above the ground with an initial velocity of 72 feet per second. The height h, in
feet, of the rocket above the ground as t seconds after launch is given by the function h(t)=-16t^2+72t+5. How long will it take the rocket to reach its maximum height? What is the maximum height?

Answer 1

the max height is at the vertex of the parabola. You know that for at^2+bt+c, the vertex is at t = -b/2a.

Then use that to find h of the vertex.