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4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 10sin(t + 10)] + 12, where t is the time, 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=45 s. (c) Determine the first time that the height is 10 m (d) When is the next time that this height is reached again?

4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 10sin(t + 10)] + 12, where t is the time, 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=45 s. (c) Determine the first time that the height is 10 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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4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) =10sin(t + 10)] + 12, where t is the time, 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 = 45 s. (c) Determine the first time that the height is 10 m (d) When is the next time that this height is reached again?
Transcribed Image Text:4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) =10sin(t + 10)] + 12, where t is the time, 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 = 45 s. (c) Determine the first time that the height is 10 m (d) When is the next time that this height is reached again?
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