28 meters in diameter means the radius is 14 -- that's he amplitude
boarded from a platform that is 1 meter above the ground means the axle is 1+14 = 15 feet up
six o’clock position on the Ferris wheel is level with the loading platform means that at t=0 you have a minimum, so that's something like y = a-bcos(kt)
1 full revolution in 8 minutes means that the period is 8. Since cos(kt) has a period of 2π/k, that means that k = π/4
Now put that all together
A Ferris wheel is 28 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h(t) gives a person’s height in meters above the ground t minutes after the wheel begins to turn.
a. Find the amplitude, midline, and period of h(t) .
b.Assume that a person has just boarded the Ferris wheel from the platform and that the Ferris wheel starts spinning at time t=0. Find a formula for the height function h(t).
c. If the Ferris wheel continues to turn, how high off the ground is a person after 30 minutes?
1 answer
1 answer