Question

an object is moving in a circle of radius r .calculate the distance and displacement;
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Answer 1

The radius of cirlce= r

when it completes half circle-

Distance= circumference/2=2πr/2

distance= πr

Displacement= r+r=2r

when it completes 3/4th of cirlce...-

when it completes 3/4th of cirlce...-distance covered= 3/4(circumference)

3/4(2πr)

3/2πr

the displacement of AB using Pythagoras theorem

AB^2= r^2+r^2

AB^2= 2r^2

AB=√2r

★Displacement=√2r

★distance=3/2πr

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