A car runs over a nail and the nail gets caught in the tire tread. The tire has a diameter of 40 cm and rotates at a rate of 10 revolutions per minute. The function, h(t), represents the height of the nail in cm, and t represents time in seconds. • State the amplitude, • the equation of the midline, the maximum and minimum values, and

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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7
7. Word problem
A car runs over a nail and the nail gets caught in the tire tread. The
tire has a diameter of 40 cm and rotates at a rate of 10 revolutions per
minute. The function, h(t), represents the height of the nail in cm, and
t represents time in seconds.
• State the amplitude,
• the equation of the midline,
• the maximum and minimum values, and
• the period.
Write an equation using cosine to represent this function.
Write an equation using sine to represent this function.
• Then graph at least to full cycles of the function. Label all
important points.
• What is the height of the nail after 10 seconds?
Name the first three times that the height of the nail is 30 cm.
Transcribed Image Text:7. Word problem A car runs over a nail and the nail gets caught in the tire tread. The tire has a diameter of 40 cm and rotates at a rate of 10 revolutions per minute. The function, h(t), represents the height of the nail in cm, and t represents time in seconds. • State the amplitude, • the equation of the midline, • the maximum and minimum values, and • the period. Write an equation using cosine to represent this function. Write an equation using sine to represent this function. • Then graph at least to full cycles of the function. Label all important points. • What is the height of the nail after 10 seconds? Name the first three times that the height of the nail is 30 cm.
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