the height of a rocket above the ground is modelled by the quadratic function h(t)=-4t^2+32t

Question

a) how long will the rocket be in the air ? how do you know?

b) what is the maximum height that the rocket will reach ?

Answer 1

h(x) = 4t(8-t)

Since it leaves the earth at t=0 and comes back at t=8, I'd say 8 units (presumably seconds).

It reaches max height at (0+8)/2 = 4.
h(4) = 16(4) = 64