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6. The London Eye Ferris Wheel of diameter 24 m rotates once every 18 seconds. The bottom of the wheel is 1 m above the ground. If passengers board the lowest car at the bottom of the wheel, determine a function that models the passenger's height, h, in meters, of the car relative to the ground as a function of the time, t, in seconds. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. (b) Calculate the height at t = 13.4 s. (c) Determine the first time that the height is 20 m. (d) When is the next time that this height is reached again?

6. The London Eye Ferris Wheel of diameter 24 m rotates once every 18 seconds. The bottom of the wheel is 1 m above the ground. If passengers board the lowest car at the bottom of the wheel, determine a function that models the passenger's height, h, in meters, of the car relative to the ground as a function of the time, t, in seconds. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. (b) Calculate the height at t = 13.4 s. (c) Determine the first time that the height is 20 m. (d) When is the next time that this height is reached again?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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6. The London Eye Ferris Wheel of diameter 24 m rotates once every 18 seconds. The bottom of the wheel is 1 m above the ground. If passengers board the lowest car at the bottom of the wheel, determine a function that models the passenger's height, h, in meters, of the car relative to the ground as a function of the time, t, in seconds. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. (b) Calculate the height at t = 13.4 s. (c) Determine the first time that the height is 20 m. (d) When is the next time that this height is reached again?
Transcribed Image Text:6. The London Eye Ferris Wheel of diameter 24 m rotates once every 18 seconds. The bottom of the wheel is 1 m above the ground. If passengers board the lowest car at the bottom of the wheel, determine a function that models the passenger's height, h, in meters, of the car relative to the ground as a function of the time, t, in seconds. (a) Determine the period and amplitude of this function. Explain the meaning of these quantities within the context of the question. (b) Calculate the height at t = 13.4 s. (c) Determine the first time that the height is 20 m. (d) When is the next time that this height is reached again?
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