The pedals of a bicycle are mounted on a bracket whose centre is 27.5 cm above the ground. Each pedal is 17.5 cm from the bracket. Assume that the bicycle is pedalled at a rate of 10 cycles per minute. 1. Draw a graph showing the height of one of the pedals above the ground for the first 2 cycles with time in seconds. Assume that the pedal starts at the topmost position at t=0. 2. Write an equation modelling the height of the pedal as a function of time. 3. When is the pedal 15 cm above the ground for the 6th time?
The pedals of a bicycle are mounted on a bracket whose centre is 27.5 cm above the ground. Each pedal is 17.5 cm from the bracket. Assume that the bicycle is pedalled at a rate of 10 cycles per minute. 1. Draw a graph showing the height of one of the pedals above the ground for the first 2 cycles with time in seconds. Assume that the pedal starts at the topmost position at t=0. 2. Write an equation modelling the height of the pedal as a function of time. 3. When is the pedal 15 cm above the ground for the 6th time?
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 pedals of a bicycle are mounted on a bracket whose centre is 27.5 cm above the ground. Each pedal is 17.5 cm from the bracket. Assume that the bicycle is pedalled at a rate of 10 cycles per minute.
1. Draw a graph showing the height of one of the pedals above the ground for the first 2 cycles with time in seconds. Assume that the pedal starts at the topmost position at t=0.
2. Write an equation modelling the height of the pedal as a function of time.
3. When is the pedal 15 cm above the ground for the 6th time?
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In relation to the equation, why is it 2pi6t? Shouldn't it be 360/6 which is 60 since we want it to be graphed in degrees? Therefore the equation should be h(t)=17.5cos(60t)+27.5 ?
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