Question

A toy rocket is launched with an initial velocity of 44.1 meters per second from a 1 meter tall platform. The height h of the object at any time t seconds after launch is given by the function h (t)-4.9t squared +44.1t +1. How long after launch did it take the rocket to reach its maximum height? what is the maximum height obtained by the toy rocket?

Answer 1

as with all quadratics, the vertex is reached at t = -b/2a = 44.1/9.8

Now just find h(t) for that value.