a body covered a distance of 5 meters along a semicircular path. the ratio of the distance to displacement is
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Let r be the radius of the circle, then the semi-circumference πr = 5m
so r = 5/π
Then 5/πi is the position vector to the starting point and -5/πi is the position vector to the end point (i is the unit vector in the x-direction)
The distance is 5m, the displacement is -5/π – 5/π) = -10/πi = -3.183i
The ratio of distance to displacement is -5/3.183 = -1.57
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