Name ________________________________________Date _________________Period_________
Unit 12 Word Problems
1. During an experiment, a ball is dropped from a height of 192 feet. The formula
h = -16t2 + h0 can be used to approximate the number of seconds t it takes for the
ball to reach height h from an initial height h0 in feet. Find the time it takes the
ball to reach the ground.
2. A book falls from a shelf that is 60 inches above the floor. A model for the height
h in feet of an object dropped from an initial height of h0 feet is h = -16t2 + h0,
where t is time in seconds after the object is dropped. How long does it take for
the book to reach the ground?
3. Laura dove into a swimming pool from a 15-foot-high diving board with an initial
upward velocity of 8 feet per second. Find the time t in seconds it took Lauren to
enter the water Use the equation h = -16t2 + vt + s, where h is height in feet, t is
time in seconds, v is the initial upward velocity in feet per second, and s is the
initial height in feet. (Hint, let h = 0 represent the surface of the pool).
Name ________________________________________Date _________________Period_________
4. Brad tossed a baseball in the air from a height of 6 feet with an initial upward
velocity of 14 feet per second. Enrique caught the ball on its way down at a point
4 feet above the ground. How long was the ball in the air before Enrique caught
it? Use the model of vertical motion from Exercise #3.
5. The length of a Charlotte, North Carolina, conservatory garden is 20 yards greater
than its width. The area is 300 square yards. What are the dimensions?
6. Miko wants to build a toy box for her sister. It is to be 2 feet high, and the width
is to be 3 feet less than its length. If it needs to hold a volume of 80 cubic feet,
find the length and width of the box.