The height above the ground of the left pedal of a cyclist’s bicycle at its lowest point is 10 m above the ground, and at its highest point is 40 cm above the ground. The pedal makes one rotation every four seconds. Hint: label the x-axis as 1 second every two boxes; label the y-axis as 5 cm every box to properly space your graph. Graph two cycles of height versus the time, starting at low pedal position. Find the sine and cosine equation for pedal height (h) as a function of the time (t, in seconds) after the initial low pedal position. (a) Determine the speed of the pedal in cm/s, rounded to one decimal place   b) If only the lowest pedal point were changed to 20cm above the ground, in what two ways would the equation change? Indicate how the equation would change (i.e. new values)

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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The height above the ground of the left pedal of a cyclist’s bicycle at its lowest point is 10 m above the ground, and at its highest point is 40 cm above the ground. The pedal makes one rotation every four seconds. Hint: label the x-axis as 1 second every two boxes; label the y-axis as 5 cm every box to properly space your graph.

Graph two cycles of height versus the time, starting at low pedal position.

Find the sine and cosine equation for pedal height (h) as a function of the time (t, in seconds) after the initial low pedal position.

(a) Determine the speed of the pedal in cm/s, rounded to one decimal place

 

b) If only the lowest pedal point were changed to 20cm above the ground, in what two ways would the equation change? Indicate how the equation would change (i.e. new values)

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