Algebra II.2.B.12 - Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior – Exit Ticket

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In an amusement park, there is a small Ferris wheel, called a kiddie wheel, for toddlers. The points on the circle in the diagram to the right represent the position of the cars on the wheel. The kiddie wheel has four cars, makes one revolution every minu

Sketch the height function for car 1 with respect to time as the Ferris wheel rotates for two minutes.

Find a formula for a function that models the height of car 1 with respect to time as the kiddie wheel rotates.

Is your function in Question 2 the only function that models this situation? Explain how you know.

From EngageNY.org of the New York State Education Department. Grade Algebra II Mathematics Module 2, Topic B, Lesson 12. Internet. Available from https://www.engageny.org/resource/algebra-ii-modul...; accessed 21/Apr/2016.