Posted by **linda** on Saturday, November 15, 2008 at 6:21pm.

a ferris wheel has a radius of 8m and rotates every 12 hrs. THe bottom of the ferris wheel is 1m above the ground. draw a graph describing how a person's height above the ground varies with time. Find an qeation for your graph.

- math -
**Reiny**, Saturday, November 15, 2008 at 7:50pm
sure hope they have a rest-room on that ferris wheel if it takes **12 hours** to make one rotation.

anyway, I know that the basic shape could be **y = 8sin(pi/6)t**.

since period = 2pi/k for y = sin kt

and 2pi/k = 12, so k=pi/6

I then shifted this vertically by 9 m to have the person 1 m above the x-axis at the minimum height

But I want him to be only 1 m high when t=0 so I shifted the graph to the right by 3 hours

which gave me y = 8 sin (pi/6)(t - 3) + 9

testing:

t=0 y = 1

t=3 y = 9

t=6 y = 17 , maximum height

t=9 y = 9

t= 12 y = 1, it works!!!

- math -
**linda**, Sunday, November 16, 2008 at 6:24pm
i don't get it. the answer is right but how do you know to shift the graph right by 3 hrs?

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