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15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos (1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds?

15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos (1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds?

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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15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos(1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds? d) At what time, during the first rotation, is the person 34 m above the ground?
Transcribed Image Text:15. The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the function h(t) = − 16 cos(1.5t) + 18, where t is the time, in seconds. a) If passengers get on the ride from the lowest point of the Ferris wheel, from what height above the ground do they get on the ride? b) How long does it take, in minutes, for the Ferris wheel to make 1 revolution? c) What is the height of a person above the ground at 30 seconds? d) At what time, during the first rotation, is the person 34 m above the ground?
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