1. Quadratic Word Problem Practice By: L. Keali’i Alicea
Chapter 5
Quadratic Word Problem
Practice
By: L. Keali’i Alicea

2. How high does the object go? When is the object 550 ft high?
An object is propelled upward from the top of a 500 foot building. The path that the object takes as it falls to the ground can be modeled by h= -16t2+100t+500 where t is the time (in seconds) and h is the corresponding height of the object. The velocity of the object is v=-32t+100 where t is seconds and v is velocity of the object.
How high does the object go? ft
When is the object 550 ft high?
.54 s & s
With what velocity does the object hit the ground?
ft/s

3. An astronaut standing on the surface of the moon throws a rock into the air with an initial velocity of 27 feet per second. The astronaut’s hand is 6 feet above the surface of the moon. The height of the rock is given by h=-2.7t2+27t+6.
How many seconds is the rock in the air?
10.22 s
How high did the rock go?
73.5 ft
When was the rock 12 feet high?
.23 s & 9.77 s
Suppose the astronaut had been standing on the earth’s surface. Write a vertical motion model for the height of the rock after the rock is thrown.
h=-16t2+27t+6
How many seconds is the rock in the air when thrown from the earth’s surface?
1.89 s