Question

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

Find the maximum height the rocket attains:

After how many seconds does it reach this height?

Answer 1

-16x^2 + 160t

The max. point on the parabola is the vertex:

t = Xv = -B/2A = -160/-32 5 s

hmax. = Yv = -16*5^2 + 160*5 = 400 Ft.

V(5,400).