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. h(t) = · sin( t + ) +
Accepted Solution
A:
The distance from the bottom of the wheel to a point on the ground can be modeled by a sine function. h(t)=a*sin(kt)+b. b is the height of the wheel, or 4m. a is the radius of the wheel, 50/2=25m. 2pi/k is the 5sinof thw revolution, so 2pi/k=6/3=2, k=pi. h(t)=25sin(pi*t)+4.