Quadratic Formula Word Problems
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1
2
3
4Name: ___________________________
Date: __________________ Period: ___
Quadratic Formula Word Problems
1. Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His
2
height as a function of time could be modeled by the function
, where t is the
h
) (
t
16
t
16
t
480
=
−
+
+
time in seconds and h is the height in feet.
a. How long did it take for Jason to reach his maximum height?
b. What was the highest point that Jason reached?
c. Jason hit the water after how many seconds?
2. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per
2
second, then its height h after t seconds is given by the equation
(if air resistance is
h
) (
t
16
t
128
t
=
−
+
neglected).
a. How long will it take for the rocket to return to the ground?
b. After how many seconds will the rocket be 112 feet above the ground?
c. How long will it take the rocket to hit its maximum height?
d. What is the maximum height?
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