Your subject title is PreCalculus , but your question is not simple.
It involves a "cycloid" , and the math involved is not one usually found
in PreCalculus studies.
Along what lines or topics does this fit in with your studies?
Did your professor perhaps want to do handle it as a sinusoidal case?
Here is a page you might want to look at that fits your problem:
www.youtube.com/watch?v=X0eaRV8szEc&ab_channel=MichelvanBiezen
A tire is 22 inches in diameter and rests on a platform that is 4 inches above the ground.
The six o'clock position on the tire is level with the platform. A piece of gum stuck to the three
o'clock position of the tire completes 1 full revolution in 12 seconds. The function h(t) gives
the height of the piece of gum in inches above the ground t seconds after the tire begins to
turn. Find a formula for the height function h(t).
1 answer