Concept explainers
A Ferris wheel at a county Fair is 180 ft in diameter with its lowest point 2.5 ft oil the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 1.2 mm. Suppose that two children are seated at the lowest point on the wheel and are the last passengers to be loaded when the wheel starts. (See Example2)
a. Write a model representing the children’s horizontal position x (in feet) relative to the center of the Ferris wheel. t minutes after the ride starts.
b. Write a model representing the children’s height y (in feet) above ground level. i minutes after the ride starts.
c. Give the coordinates of the children’s position 1 mm into the ride and describe the location.
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