A ferris wheel has a 14 meter diameter and turns counterclockwise at 6 rpm.
a) Assuming that the center of the wheel is the origin of an x-y coordinate plane, write functions to find the position (x,y) of a rider that starts at the bottom of the wheel.
b) Where is the rider 2 minutes after the start of the ride?
c) When does the rider first reach the top of the wheel?
d) How often does the rider reach the top of the wheel?
e) The bottom of the ferris wheel is 1 meter from the ground. Graph the function that represents the height of the rider from the ground at each moment t. (Use the function for the y-coordinate of the rider that you found in part 'a' and adjust it as necessary)
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Tony visits the local fair and sees one of the rides, the ferris wheel. The ferris wheel has a diameter of 50 feet and is on a platform of 4 feet. If it takes 12 seconds to make one full revolution, what is the equation of the