00:01
So we have that ferris wheel, and it's supposed to have a diameter that is 24 meters.
00:07
So this would be 12 meters here, 12 meters here.
00:11
And it's supposed to be a meter off the ground.
00:14
And i'm not going to make it totally representative space -wise.
00:17
That's supposed to be one meter.
00:19
And they're supposed to board here.
00:21
So we know that the height at time zero is supposed to be at one meter.
00:27
I think that's one question for later on, but we know that the grit, this makes one revolution in eight minutes.
00:37
And so in part a, you had to describe what a period was, well, amplitude.
00:44
And the amplitude of the wave is going to end up being 12 meters.
00:47
And you had to tell what the midline was.
00:51
And the midline will be at this point.
00:54
That will be the middle of the graph.
00:56
So that will be at 1 plus 12.
00:58
That will be at 13 meters, will be the middle of the graph.
01:03
And the period is 8 minutes.
01:08
And the graph will end up looking like this, basically.
01:12
Let's just make a little sketch.
01:14
And so we know that at time zero, oops, at time zero, we're going to have, i'm going to put the middle of the graph here.
01:23
That's 13, and then this will be at 1.
01:25
And then we would go up 12 from that and that's going to be at 25 meters so this is 12 and 12 and the the function would start out that the rider would be here and then after two minutes the rider will be at the 13 position after four minutes he'll be at the 25 position after six minutes will be at the 13 position and after eight minutes we'll be back down at the bottom so that function will look like this, and it will continue on.
02:01
Two minutes later, if the ride continues, back up here, and so on.
02:05
So this person will be on the ride for at least eight minutes, maybe 16, and so on.
02:12
So we answered part a.
02:16
Now, part b, i think that's where we need to write what the function is.
02:21
In part b, we can write it as a cosine function.
02:23
We can write it as a sign function.
02:25
And if we write it as a sign function, h of t, we would have to have that phase shifted over to here or here.
02:36
And we have an amplitude of 12.
02:38
And if you need to put units on it, you would go 12 meters.
02:41
I mean, i could put the units on...