Name: ______Date: ______Period: ______Homework p. 26
Quadratic Function Applications
1. The height of a soccer ball is given by the function , where x is the time since the ball was kicked. The graph of this quadratic function is shown below.
A. What is the approximate height of the ball when it is at its highest point?
B.About how long was the ball in the air?
C. Approximately when was the ball 30 meters in the air?
D. Why are there two answers to question C?
2.The graph below shows the height of a baseball from the time it is thrown from the top of a building to the time it hits the ground.
A.The ball was in the air for ______seconds.
B.The maximum height of the ball was ______meters (approximate).
C.The ball was at 80 meters at ______seconds and ______seconds after it was thrown.
D.How much time elapses while the baseball is eighty meters or more above the ground?
a. 1 secondb. 9 secondsc. 6 secondsd. 7 seconds
3.A portion of the graph of the function is shown on the grid below. At what point will the graph cross the x axis again?
4. A football is kicked into the air with an initial upward velocity of 25 meters per second (m/sec).
A. How many seconds does it take for the football to land?
B. Estimate how many seconds it takes for the football to reach its maximum height.
C. What is the maximum height?
D. What is the domain and range of the function?
Domain: ______
Range : ______
5.The height of a football in feet after t seconds is given by .
A. Fill out the table and sketch the graph.
B. At what time(s) will the height be 100 meters above the ground? ______
C. The ball is on the ground at what time(s)? ______
D. How long does it take the ball to reach the ground after it is kicked? ______
E. How high is the ball after six seconds? ______
6. A twirler throws a baton with an initial upward velocity of 20 m/sec. The function can be represented by the equation . When will the baton be 15 meters above where it was thrown?
7. A company’s profit is shown by the graph below as a function of the hours of labor put in.
A. What is the maximum profit?
B. After about how many hours do they starts losing money?
C. About how many hours should they work in order to gain the maximum profit?
D. What is the domain and range of the function?
Domain: ______
Range : ______
8. Jeff launches a miniature rocket. It goes upward with an initial velocity of 30 m/sec. It’s height, h, in meters at any time, t, is given by .
A. Fill out the table and sketch the graph.
B.At what time(s) is the rocket 40 meters high? ______
C.At what time(s) is the rocket on the ground? ______
D.How high is the rocket after 5 seconds? ______
E.When does the rocket reach its max height? ______
F. How long does it take the rocket to reach the ground? ______
G. How high is the ball after 1 second? ______