Jukebox Machines

Who is really good at math? Can you solve this problems?
Hershey park has a carousel as one of its rides. The original sign was misspelled, so they kept it as its name. On Alice’s last visit to the park she rode the three-minute ride and would now like to model that ride on her calculator. She remembers that as she entered the ride she went to the horse on the farthest right from where she could see when entering and went around counterclockwise from here. The Original Wurlitzer Table speed up and slow down times at the beginning and end seemed minimal, so she plans to ignore them. Knowing that she needed more information, she looked up the following information on Hershey Park’s website.Ride FactsNumber of horses: 66Number of movable horses: 42Number of chariots: 2Ride diameter: 50 ftRide speed: 6 mphNumber of light bulbs: 1,788Capacity: 780 riders per hourOrgan manufacturer: Wurlitzer, 1926Designers: Philadelphia Toboggan Co., Pa, 1919Year installed: 1945; moved present park location in 19721. Draw the overhead view of the Carousel on a set of axes. Mark the rightmost point as Alice’s starting point.2. Graph 2 graphs (y-axis: X in ft, x-axis: time 1 period, 2 periods, 3 periods)3. How long is the period?4. What are the equations used to model Alice’s ride?5. What are the coordinates of the place where Alice was when she ended her ride?7. What assumptions were made in creating this model?
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Original Wurlitzer Table