a body covered a distance of 5m along a semicircular path.the ratio of distance to displacement is?
(a)11:7 (b)12:5 (c)7:5 (d)8:3
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Solution
The distance is 5 m which is equal to the half of the circumference of the circular path.
Hence,
The displacement is the shortest distance between two points. For the semicircular path, the diameter of the circle is the displacement.
Therefore, displacement = 2r = 10/π
therefore, the ratio of distance to displacement,
5 : 10/π =π :2 = 11 : 7