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