Select the correct answer from each drop-down menu.
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0.
Amare's height above the ground at any time t can be modeled by the function h(t) = ___________.
The function should be in the form h(t) = a + b*cos(c*t), where
a is the average height above the ground,
b is the amplitude of the sinusoidal motion, and
c determines the period of the motion.
We know that the low point of the ride is at a height of 4 meters, so a = ___________.
Since the diameter of the Ferris wheel is 50 meters, the distance from the low point to the high point (amplitude) is 50/2 = ___________.
Since it takes 6 minutes to do three revolutions, the period of the motion is 6/3 = ___________.
Therefore, the function h(t) = ___________.