Your goal is to not only solve the problem(s) below, but to detail your solutions as neatly and completely as possible. "Best" solutions will receive extra credit.
I built a ferris wheel that is 100m in diameter. You board my ferris wheel at its lowest point, which is 5 meters off the ground, at time 0. My ferris wheel takes 2 minutes to make a full revolution.
1) Find a function that models the distance from you to the ground, t minutes after boarding my ferris wheel, using transformations of the sine function. So that everyone's answers are the same, use a positive value for A, and shift the function to the right.
2) Find a function that models the distance from you to the ground, t minutes after boarding my ferris wheel, using transformations of the cosine function. So that everyone's answers are the same, use a negative value for A.
3) Sketch a graph of the function.