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(d) How long after the ride begins will Jacob and Emily be exactly at a height of 8 m?

(d) How long after the ride begins will Jacob and Emily be exactly at a height of 8 m?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Part D
9 d=a² d = 3 30 d= f= tw 31 ( C Ferris Wheel Motion Jacob and Emily ride a Ferris wheel at a carnival in Billings, Montana. The wheel has a 16-m diameter and turns at 3 rpm with its lowest point I m above the ground. Assume that Jacob and Emily's height h above the ground is a sinusoidal function of time 1 (in seconds), where 1 = 0 represents the lowest point of the (a) Write an equation for h. h(t)=-8 cos (Ft) + 9 (b) Draw a graph of h for 0 ≤r≤ 30. Sec (c) Use à to estimate Jacob and Emily's height above the ground at 1 = 4 and / = 10. h (4) --8 cos ( 76. 4) + 9 = 6.52 m h (10) = -8 cos (7/10) +9 = 17m. (d) How long after the ride begins will Jacob and Emily be exactly at a height of 8 m? 8 = 17 17
Transcribed Image Text:9 d=a² d = 3 30 d= f= tw 31 ( C Ferris Wheel Motion Jacob and Emily ride a Ferris wheel at a carnival in Billings, Montana. The wheel has a 16-m diameter and turns at 3 rpm with its lowest point I m above the ground. Assume that Jacob and Emily's height h above the ground is a sinusoidal function of time 1 (in seconds), where 1 = 0 represents the lowest point of the (a) Write an equation for h. h(t)=-8 cos (Ft) + 9 (b) Draw a graph of h for 0 ≤r≤ 30. Sec (c) Use à to estimate Jacob and Emily's height above the ground at 1 = 4 and / = 10. h (4) --8 cos ( 76. 4) + 9 = 6.52 m h (10) = -8 cos (7/10) +9 = 17m. (d) How long after the ride begins will Jacob and Emily be exactly at a height of 8 m? 8 = 17 17
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