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Question

# An object travels around a circle of radius 6 m with speed 3π ms−1. The distance and displacement after 3 second is

A

9π m, 6√2 m

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B

9π m, 0 m

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C

12π m, 6√2 m

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D

12π m, 0 m

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Solution

## The correct option is A 9π m, 6√2 m Given radius of circle r = 6 m, speed = 3π ms−1 Distance travelled = speed × time = 3π × 3 = 9π Circumference of circle = 2πr = 12π m In 3s it would have travelled 9π12π = (34)th of the circle. Displacement = Shortest distance between initial and final points = √(62+62) m = 6√2 m

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