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4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.

4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.

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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4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.
Transcribed Image Text:4. The Ferris wheel at a ANSWERS carnival has a 4. a) y = 9 sin (x + 270°) + 11 b) y = 9 sin (x + 225°) + 11 diameter of 18 m and descends to 2 m above the ground at its lowest point. Assume that a Answers may vary. Sample answer: Similarities: same amplitude, period, and vertical shift, because the wheel turns with these characteristics no matter where it is loaded. Differences: phase shift, because the loading dock of the ride changes position. rider enters a car at this point and rides the wheel for two revolutions. a) Model the rider's height above the ground versus the angle of rotation using a transformed sine function. b) Suppose that the rider enters the car from a platform located 45° along the rim of the wheel before the car reaches its lowest point. Adjust your model in part a) to reflect this situation. c) Graph the equations from parts a) and b) on the same set of axes. How are they similar? How are they different? Explain the differences.
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