1. a) A Ferris wheel of diameter 26 m takes 24 seconds to complete 3 rotations. If passengers board the lowest car at a height of 2 m above the ground, determine a sine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds. Include a sketch. b) Using your equation from part a), find the height after 1.25 seconds. c) Using your equation from part a), find how long it takes the passenger to reach a height of 18m in the first rotation.

1. a) A Ferris wheel of diameter 26 m takes 24 seconds to complete 3 rotations. If passengers board the lowest car at a height of 2 m above the ground, determine a sine function that models the height, h, in metres, of the car relative to the ground as a function of the time, t, in seconds. Include a sketch. b) Using your equation from part a), find the height after 1.25 seconds. c) Using your equation from part a), find how long it takes the passenger to reach a height of 18m in the first rotation.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.8: Applications And Models

Problem 4E: The number of cycles per second of a point in simple harmonic motion is its .

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