Suppose a Ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute.
a. How fast is a person rising when the person is 3 meters above the horizontal line running through the center (3 or 9 o’clock position)?
b. How fast is a person rising when the person is 3 meters above the base of the Ferris wheel?
c. Suppose a person riding the Ferris when drops a ball while going up when they are 6 meters from the bottom of the Ferris wheel.
i. When will it hit the ground?
ii. How fast will it be going when it hits the ground?
iii. At which point should it be dropped so it is going fastest when it hits the ground?