In: Advanced Math
A Ferris wheel has a radius of 10 feet and is boarded in the 6 o’clock position from a platform that is 3 feet above the ground. The wheel turns counterclockwise and completes a revolution every 3 minutes. At t = 0 the person is at the 6 o’clock position.
1. Draw a diagram and impose coordinates
2. Find a function, F(t), for the height of the person above the ground after t minutes
3. Find two times when a passenger is at a height of 18.0 feet.
4. How far does a rider travel along the circle if they travel from the boarding point on the bottom of the Ferris wheel to the top of the Ferris wheel?