A Ferris wheel has a diameter of 24m and the bottom of the wheel
passes 2 m above the ground. The Ferris wheel makes one
complete revolution every 40 seconds. The person boards the Ferris
wheel at the bottom at time t = 0. let H = f(t) be the height of
the person above the ground (in meters) as a function of time t (in
seconds)
1) Assuming that the person's height oscillates sinusoidally,
sketch a graph of their height above the ground after t seconds, H
= f(t). Remember that the person boards the Ferris wheel at the
bottom at time t = 0. label both axes with an appropriate
scale.
2) Find two sinusoidal functions, H = f(t), one using sine and
other using cosine, to model the person's height above the ground
after t seconds. So one function involving sine and another
involving cosine.