A Ferris wheel has a radius of 35m and starts at 2m above the ground. It rotates once every 53 second.
a) determine the cosine equation of the graph, if the rider gets on at the lowest point.
b) what is the height of the rider at 81 seconds?

asked by Sarah
  1. since cos(x) starts at a maximum, you must have


    The radius is 35, so

    y = -35cos(x)

    It starts at y=2, so the axle is at y=37:

    y = 37-35cos(x)

    The period is 53, so

    y = 37-35cos(2pi/53 x)

    now just do what you need with that.

    posted by Steve
  2. Thank you so much! This was so helpful! Really appreciate it

    posted by Sarah

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