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3. At a swim meet, Jane dives from a diving board that is 48 feet high. Her position above the water is modeled by the function H(t) = -16t2 + 24t+40 where t represents the time in seconds and H(t) is the height in feet. a. What is the maximum height the diver reaches? b. How long does it take for the diver to reach her maximum height? How long did it take till the diver hit the water? C. d. How high was the diver after 1.5 seconds? e. After how many seconds was the diver 24 feet above the water?

3. At a swim meet, Jane dives from a diving board that is 48 feet high. Her position above the water is modeled by the function H(t) = -16t2 + 24t+40 where t represents the time in seconds and H(t) is the height in feet. a. What is the maximum height the diver reaches? b. How long does it take for the diver to reach her maximum height? How long did it take till the diver hit the water? C. d. How high was the diver after 1.5 seconds? e. After how many seconds was the diver 24 feet above the water?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. At a swim meet, Jane dives from a diving board that is 48 feet high. Her position above the water is modeled by the function H(t) = -16t2 + 24t + 40 where t represents the time in seconds and H(t) is the height in feet. What is the maximum height the diver reaches? How long does it take for the diver to reach her maximum height? C. How long did it take till the diver hit the water? d. How high was the diver after 1.5 seconds? e. After how many seconds was the diver 24 feet above the water? a. b.
Transcribed Image Text:3. At a swim meet, Jane dives from a diving board that is 48 feet high. Her position above the water is modeled by the function H(t) = -16t2 + 24t + 40 where t represents the time in seconds and H(t) is the height in feet. What is the maximum height the diver reaches? How long does it take for the diver to reach her maximum height? C. How long did it take till the diver hit the water? d. How high was the diver after 1.5 seconds? e. After how many seconds was the diver 24 feet above the water? a. b.
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