Kevin is riding a mini Ferris wheel. He reaches the maximum height of 9m at 5s and then reaches the minimum height of 1m at 65s. a. What is the period (the length of time to complete one cycle)? [2] b. What is the radius of the wheel? [1] c. Use the information given to sketch one cycle of the function. Label the graph.
Answers
Given : Ferris wheel reaches the maximum height of 9m at 5s and then reaches the minimum height of 1m at 65s
To Find : a. What is the period (the length of time to complete one cycle)? b. What is the radius of the wheel?
Solution:
maximum height of 9m at 5s
minimum height of 1 m at 65s
Times = 65 - 5 = 60 sec = 1 min
Maximum Height to Minimum Height = 1/2 Cycle
Time taken for 1/2 cycle = 1 min
Time Taken for complete cycle = 1 * 2 = 2 min = 120sec
the period (the length of time to complete one cycle) = 120 Sec or 2 min
Vertical distance = 9 - 1 = 8 m
Diameter = maximum height - minimum height
Diameter = 8 m
Radius = 4 m
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