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1. It is spring break at Huxley College; the annual migration to Fort Lauderdale has begun. Hovering 1000 feet directly above the southbound interstate is the helicopter state patrol, with Officer Ingkvist on the radar gun. A car with Huxley decals passes underneath and continues south. Jason and Margaret, fresh form their Calculus midterm, aren't watching the speedometer. Officer Ingkvist fires. In moments, the results are in: At the moment of firing the car was 2000 feet from the helicopter and moving away at 85 feet per second. "Got 'em!" mutters Ingkvist under her breath. In traffic court, Jason and Margaret deny all wrongdoing. "The speed limit is 65 mph," they tell the judge. "We were clocked at 85 feet per second. But a simple calculation shows that 65 mph is 95 feet per second. Hence, clearly, we couldn't have been speeding." "Watch your language," replies the judge, "but what you say makes sense. Explain yourself Ingkvist. Use that blackboard. Be clear. And cite your source."

1. It is spring break at Huxley College; the annual migration to Fort Lauderdale has begun. Hovering 1000 feet directly above the southbound interstate is the helicopter state patrol, with Officer Ingkvist on the radar gun. A car with Huxley decals passes underneath and continues south. Jason and Margaret, fresh form their Calculus midterm, aren't watching the speedometer. Officer Ingkvist fires. In moments, the results are in: At the moment of firing the car was 2000 feet from the helicopter and moving away at 85 feet per second. "Got 'em!" mutters Ingkvist under her breath. In traffic court, Jason and Margaret deny all wrongdoing. "The speed limit is 65 mph," they tell the judge. "We were clocked at 85 feet per second. But a simple calculation shows that 65 mph is 95 feet per second. Hence, clearly, we couldn't have been speeding." "Watch your language," replies the judge, "but what you say makes sense. Explain yourself Ingkvist. Use that blackboard. Be clear. And cite your source."

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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1. It is spring break at Huxley College; the annual migration to Fort Lauderdale has begun. Hovering 1000 feet directly above the southbound interstate is the helicopter state patrol, with Officer Ingkvist on the radar gun. A car with Huxley decals passes underneath and continues south. Jason and Margaret, fresh form their Calculus midterm, aren't watching the speedometer. Officer Ingkvist fires. In moments, the results are in: At the moment of firing the car was 2000 feet from the helicopter and moving away at 85 feet per second. "Got 'em!" mutters Ingkvist under her breath. In traffic court, Jason and Margaret deny all wrongdoing. "The speed limit is 65 mph," they tell the judge. "We were clocked at 85 feet per second. But a simple calculation shows that 65 mph is 95 feet per second. Hence, clearly, we couldn't have been speeding." "Watch your language," replies the judge, "but what you say makes sense. Explain yourself Ingkvist. Use that blackboard. Be clear. And cite your source." 2. A 50-foot ladder rests up against the Leaning Tower of Pisa. The angle between the ground and the tower is 98°. If the ladder is being pulled away from the tower at 4 feet per second, find the rate at which the ladder is sliding down the tower when the bottom of the ladder is 8 feet from the base of the tower.
Transcribed Image Text:1. It is spring break at Huxley College; the annual migration to Fort Lauderdale has begun. Hovering 1000 feet directly above the southbound interstate is the helicopter state patrol, with Officer Ingkvist on the radar gun. A car with Huxley decals passes underneath and continues south. Jason and Margaret, fresh form their Calculus midterm, aren't watching the speedometer. Officer Ingkvist fires. In moments, the results are in: At the moment of firing the car was 2000 feet from the helicopter and moving away at 85 feet per second. "Got 'em!" mutters Ingkvist under her breath. In traffic court, Jason and Margaret deny all wrongdoing. "The speed limit is 65 mph," they tell the judge. "We were clocked at 85 feet per second. But a simple calculation shows that 65 mph is 95 feet per second. Hence, clearly, we couldn't have been speeding." "Watch your language," replies the judge, "but what you say makes sense. Explain yourself Ingkvist. Use that blackboard. Be clear. And cite your source." 2. A 50-foot ladder rests up against the Leaning Tower of Pisa. The angle between the ground and the tower is 98°. If the ladder is being pulled away from the tower at 4 feet per second, find the rate at which the ladder is sliding down the tower when the bottom of the ladder is 8 feet from the base of the tower.
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