ride lasts for 16 minutes for a A child is riding a Ferris wheel with a total of 4 revolutions. The Ferris wheel is modelled by a sinusoidal function where its height, h, in metres, above the ground and t is the time, in minutes. A person enters the Ferris Wheel 0.5 metres off of the ground. a) Sketch a graph showing the child's height while riding the Ferris wheel for the first 8 minutes. 5) What is the height of the child on the Ferris wheel at t = 1 minute? C) Determine the child's rate of change of height with respect to time. (Simplify the answer) ) Determine when the Ferris wheel's speed is at a maximum

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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ride lasts for 16 minutes for a
A child is riding a Ferris wheel with a diameter of 13 m
total of 4 revolutions. The Ferris wheel is modelled by a sinusoidal function where its height, h, in
metres, above the ground and t is the time, in minutes. A person enters the Ferris Wheel 0.5
metres off of the ground.
a) Sketch a graph showing the child's height while riding the Ferris wheel for the first 8 minutes.
b) What is the height of the child on the Ferris wheel at t = 1 minute?
c) Determine the child's rate of change of height with respect to time. (Simplify the answer)
d) Determine when the Ferris wheel's speed is at a maximum.
Transcribed Image Text:ride lasts for 16 minutes for a A child is riding a Ferris wheel with a diameter of 13 m total of 4 revolutions. The Ferris wheel is modelled by a sinusoidal function where its height, h, in metres, above the ground and t is the time, in minutes. A person enters the Ferris Wheel 0.5 metres off of the ground. a) Sketch a graph showing the child's height while riding the Ferris wheel for the first 8 minutes. b) What is the height of the child on the Ferris wheel at t = 1 minute? c) Determine the child's rate of change of height with respect to time. (Simplify the answer) d) Determine when the Ferris wheel's speed is at a maximum.
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