Body moves along a curve path of quarter circle calculate the ratio of distance to displacement
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As the path is a quarter circle, therefore the distance traversed (D) is 1/4 * (2*pi*R) , R being radius of the circle.
In addition, since it is a quarter circle, for this reason the displacement length is the hypotenuse of an isosceles right angle triangle.
Therefore, when we apply the Pythagoras theorem,
Displacement (d) = sqrt [2(R^2)]
= sqrt(2)*R
Hence, the ratio = D/d = [1/2*sqrt(2)]*pi
In addition, since it is a quarter circle, for this reason the displacement length is the hypotenuse of an isosceles right angle triangle.
Therefore, when we apply the Pythagoras theorem,
Displacement (d) = sqrt [2(R^2)]
= sqrt(2)*R
Hence, the ratio = D/d = [1/2*sqrt(2)]*pi
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