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Answer :
Final answer:
The average speed of a rider on a Ferris wheel with a diameter of 50 feet that completes one rotation in 5 minutes is 0.5233 feet per second, which does not match any of the options provided. None of the options are correct.
Explanation:
A Ferris wheel with a diameter of 50 feet will have a circumference, which is the distance traveled in one rotation, given by the formula C = π × d, where C is the circumference and d is the diameter of the wheel.
Therefore, C = 3.14 × 50 feet = 157 feet (rounded to the nearest foot). If the Ferris wheel takes 5 minutes to complete one rotation, we need to convert this time into seconds to find the average speed in feet per second (ft/s).
5 minutes is equal to 300 seconds. Finally, we calculate the average speed, v, by dividing the total distance traveled, C, by the time, t: v = C/t = 157 feet / 300 seconds = 0.5233 ft/s.
To answer the student's question, none of the options provided (a, b, c, d) exactly match the calculated average speed, so it appears there may have been a mistake in the options provided.
None of the options are correct.
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