the displacement of a body may be zero even when distance travelled by it is not zero
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Yes, it is true when final position of an object coincides with its initial position, displacement =0 but distance ≠0. No, the reverse is not true. i.e., when distance travelled is zero, body is at rest. There is no displacement.
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Displacement is the shortest straight line distance between initial and final position.
Hence if a body travels along a random path to return to the point of start, the body has traveled finite distance, however the displacement of it is exactly zero.
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