Write an equation of the Ferris Wheel

Question

Sydney wants to ride a Ferris wheel that has a radius of 60 feet and is suspended 10 feet above the ground. The wheel rotates at a rate of 2 revolutions every 6 minutes. (Don’t worry about the distance the seat is hanging from the bar.) Let the center of the wheel represents the origin of the axes.

a. Write a function that describes a Sydney’s height above the ground as a function of the number of seconds since she was ¼ of the way around the circle (at the 3 o’clock position).

b. How high is Sydney after 1.25 minutes?

c. Sydney’s friend got on after Sydney had been on the Ferris wheel long enough to move a quarter of the way around the circle. How would a graph of her friend’s ride compare to the graph of Sydney’s ride? What would the equation for Sydney’s friend be?

Answer 1

Please, check the answer described in the link below.

 

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https://www.wyzant.com/resources/files/577226/ferries_wheel_equation_solution

 

https://www.wyzant.com/Tutors/mathematicianSD