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Question

An object travels around a circle of radius 6 metre with a speed of 3π ms. Find the distance and displacement after 3 seconds.


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


Distance travelled = speed × time = 3π × 3 = 9π

Circumference = 2πr = 12π m

In 3 seconds, it would have travelled 9π12π = (34)th of the circle.

Displacement = Shortest distance between initial and final points

= (62+62) m

= 62 m


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