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Question

# An object travels around a circle of radius 6 m with speed 3π ms−1. Find the distance and displacement after 3 s.

A
9π m, 62 m
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B
9π m,0 m
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C
12π m,62 m
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D
12π m,0 m
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Solution

## The correct option is A 9π m, 6√2 mGiven: Radius of the circle, r=6 m Time taken, t=3 s Speed, v=3π ms−1 Distance travelled is the product of speed and time. d=3π×3=9π m Circumference, C=2πr=12π m In 3s it would have travelled, d3=9π12π=(34)th of the circle. We know, displacement is the shortest distance between initial and final points. Since the object covers (34)th of the circle), the object starts its journey from point A and ends its journey at point B. Therefore, displacement of the object is AB. AB=√AO2+OB2 AB=√62+62 (using Pythagoras theorem) AB=6√2 m

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