A high diver is standing on a platform above a pool. Her diving path can be modeled by the function h(t)=-16t^2+8t+12, where h is her height in feet above the water and t is time in seconds.

Question

a) How high is the platform (initial height of the diver)?

b) After the diver leaves the platform, what is her maximum height?

c) How long does it take for the diver to reach her maximum height?

d)How long is the diver in the air before landing in the water?

I don't know where to start with these questions! Please help.

Answer 1

Use what you know about parabolas:

(a) h(0)
(b,c) max height at the vertex, where t = 8/32
(d) solve for t when h(t) = 0

Answer 2

idl