00:03
So you see your ferris wheel with a diameter of 28.
00:06
That means the radius is 14.
00:08
The bottom of the wheel is one meter off the ground.
00:10
So that gives us a center of hub distance of 15.
00:14
This is 15 here.
00:16
Okay, so there's our layout.
00:17
So we need to find the amplitude.
00:20
The amplitude is just the height of the circle, the radius of the circle.
00:23
So that's going to be 14.
00:25
You're going to split it in half.
00:27
The midline is the height to the center of that hub, which is 15.
00:33
And the period, it says it takes 16 minutes for one cycle.
00:38
Okay? so part b is to write the function.
00:42
So the function of the height will be a...
00:45
We're going to use a cosine curve because we'll start at the bottom.
00:47
The person's down here at the bottom.
00:50
And then they're going to go up and come back down.
00:52
So we're going to have a negative cosine curve.
00:54
So it's negative a, cosine, b times t...