Quadratic Formula Word Problems Page 2
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43. A rocket is launched from atop a 101 – foot cliff with an initial velocity of 116 ft/s.
2
a. Substitute the values into the vertical motion formula
. Let h(t) = 0
h
) (
t
16
t
vt
h
=
−
+
+
0
b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is
launched. Round to the nearest tenth of a second.
4. You and a friend are hiking in the mountains. You want to climb to a ledge that is 20 ft. above you.
2
The height of the grappling hook you throw is given by the function
. What is the
h
) (
t
16
t
32
t
5
=
−
−
+
maximum height of the grappling hook? Can you throw it high enough to reach the ledge?
5. You are trying to dunk a basketball. You need to jump 2.5 ft. in the air to dunk the ball. The height
2
that your feet are above the ground is given by the function
. What is the maximum
h
) (
t
16
t
12
t
=
−
+
height your feet will be above the ground? Will you be able to dunk the basketball?
6. A diver is standing on a platform 24 ft. above the pool. He jumps form the platform with an initi8al
2
upward velocity of 8 ft/s. Use the formula
, where h is his height above the water, t
h
) (
t
16
t
vt
s
=
−
+
+
is the time, v is his starting upward velocity, and s is his starting height. How long will it take for him
to hit the water?
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