Quadratic Formula Word Problems Page 3
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47. A ball is thrown upward from a height of 15 ft. with an initial upward velocity of 5 ft/s. Use the
2
formula
to find how long it will take for the ball to hit the ground.
h
) (
t
16
t
vt
s
=
−
+
+
8. One of the games at a carnival involves trying to ring a bell with a ball by hitting a lever that
2
propels the ball into the air. The height of the ball is modeled by the equation
. If the
h
) (
t
16
t
39
t
=
−
+
bell is 25 ft. above the ground, will it be hit by the ball?
9.
A ship drops anchor in a harbor. The anchor is 49 ft. above the surface of the water when it is
2
released. Use the vertical motion formula
to answer the following questions.
h
16
t
vt
s
=
−
+
+
a. What is the value of x, the starting height?
b. What is the value of h when the anchor hits the water?
c. The starting velocity is zero. After how many seconds will the anchor hit the water?
10. An amateur rocketry club is holding a competition. There is cloud cover at 1000 ft. If a rocket is
launched with a velocity of 315 ft/s, use the function
to determine how long the
h
) (
t
16
t
vt
h
=
−
+
+
0
rocket is out of sight.
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