The height in feet of a rocket after t seconds is given by h(t) = 160t - 16t2.

Question

Find the maximum height the rocket attains:

After how many seconds does it reach this height?

Answer 1

by now you know about parabolas.

h(t) = 160t - 16t^2

the vertex of a parabola is at t = -b/2a, which here is

t = 160/32 = 5

So, at t=5, h(t) = 400