Example 8: A rocket is shot up vertically close to the edge on the top of a 300-foot cliff. The quadratic
2
=
−
+
+
function
h
) (
t
16
t
128
t
300
models the rocket’s height above the ground,
h
) (t
, in feet, t seconds
after it is launched.
(a) How many seconds does it take the rocket
to reach its maximum height?
(b) What is its maximum height?
(c) Find h(0). What does this mean?
(d) When does the rocket hit the ground?
(e) Graph this quadratic function.
h(t)
y
600
400
200
x
t (seconds)
−1
1
2
3
4
5
6
7
8
9
10
11
12
−200
Page 4 (Section 3.2)