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Collin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant...

Collin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.6 radians per minute and has a radius of 45 feet. Let t represent the number of seconds since the Ferris wheel started rotating.

  1. Provide expression (in terms of t) to represent the varying number of radians θ Collin has swept out since the Ferris wheel started rotating.


2.Write a function f that determines Collin's distance above the center of the Ferris wheel (in feet) in terms of t


3.How long does it take for Collin to complete one full revolution on the Ferris wheel?

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