14. At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = - 167 + 24t + 40, where t represents time in seconds, and h(t) represents the height in feet. a. How many seconds does it take Janet to reach the water? b. What is the greatest height Janet reaches? C. How long does it take Janet to reach her maximum height? 15. When a kangaroo jumps, its path through the air can be modeled by y = - 0.0267r² +0.8r where x is the kangaroo's horizontal distance traveled in

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Chapter3: Polynomial Functions
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Number 14?
9. A juggler throws a ball into the air, releasing it 5 feet above the ground with an
initial velocity of 15 ft/sec. She catches the ball with her other hand when the ball
returns to 5 feet above the ground. If the equation h = - 16* + 15t gives the path
of the ball from hand to hand, how long is the ball in the air?
0,938 seconds
10.A ball is thrown straight up with an initial velocity of 56 feet per second. The
height, h, of the ball t seconds after it is thrown is given by the formula
h(t) = - 16 + 56t .
a. What is the maximum height of the ball? 49 feet
b. After how many seconds will it return to the ground? 3.5 seconds
11. A ball is thrown upward from the ground. Its height h in feet is given by the
function h(t) = - 16* +64t + 3 , where t is the length of time in seconds that the
ball has been in the air. What is the maximum height the ball reaches?
67 feet
12. In baseball, the flight of a pop-up may be described as d= - 16 + 80t + 3.5
where d gives the ball's height above the ground in feet as a function of time t.
How long does the catcher have to catch the ball after the ball is hit?
5.043 seconds
2 13. The height h(t) in feet of an object released from a cannon with an initial velocity
of 20 feet per second can be modeled by the equation h(t) =
16+20t+ 6,
where t is the time in seconds after the cannon is fired.
a. What is the maximum height the ball reaches?
b. How long does it take to reach this maximum height?
14. At a swim meet, Janet dives from a diving board that is 40 feet high. Her
position above the water is represented by the equation h(t) = - 16 + 24t + 40,
where t represents time in seconds, and h(t) represents the height in feet.
a. How many seconds does it take Janet to reach the water?
b. What is the greatest height Janet reaches?
c. How long does it take Janet to reach her maximum height?
15. When a kangaroo jumps, its path through the air can be modeled by
y =
- 0.0267x² + 0.8r where x is the kangaroo's horizontal distance traveled in
feet and y is its corresponding height in feet.
a. How high can a kangaroo jump? S. 993 feet
b. How far can it jump? 29.963 feet
Transcribed Image Text:9. A juggler throws a ball into the air, releasing it 5 feet above the ground with an initial velocity of 15 ft/sec. She catches the ball with her other hand when the ball returns to 5 feet above the ground. If the equation h = - 16* + 15t gives the path of the ball from hand to hand, how long is the ball in the air? 0,938 seconds 10.A ball is thrown straight up with an initial velocity of 56 feet per second. The height, h, of the ball t seconds after it is thrown is given by the formula h(t) = - 16 + 56t . a. What is the maximum height of the ball? 49 feet b. After how many seconds will it return to the ground? 3.5 seconds 11. A ball is thrown upward from the ground. Its height h in feet is given by the function h(t) = - 16* +64t + 3 , where t is the length of time in seconds that the ball has been in the air. What is the maximum height the ball reaches? 67 feet 12. In baseball, the flight of a pop-up may be described as d= - 16 + 80t + 3.5 where d gives the ball's height above the ground in feet as a function of time t. How long does the catcher have to catch the ball after the ball is hit? 5.043 seconds 2 13. The height h(t) in feet of an object released from a cannon with an initial velocity of 20 feet per second can be modeled by the equation h(t) = 16+20t+ 6, where t is the time in seconds after the cannon is fired. a. What is the maximum height the ball reaches? b. How long does it take to reach this maximum height? 14. At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = - 16 + 24t + 40, where t represents time in seconds, and h(t) represents the height in feet. a. How many seconds does it take Janet to reach the water? b. What is the greatest height Janet reaches? c. How long does it take Janet to reach her maximum height? 15. When a kangaroo jumps, its path through the air can be modeled by y = - 0.0267x² + 0.8r where x is the kangaroo's horizontal distance traveled in feet and y is its corresponding height in feet. a. How high can a kangaroo jump? S. 993 feet b. How far can it jump? 29.963 feet
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