Question

Between two given position , distance traveled can never be less than the displacement . Why ?

Answer 1

Displacement is always less than or equal to the distance traveled, so it cannot be greater than the distance. ... If a particle is moving in a straight line in one direction then the magnitude of displacement vector will be equal to the scalar distance.
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Answer 2

It is because if motion is along a fixed direction,the magnitude displacement is equal to that of distance but if motion is along a curve the magnitude is always less than that distance.

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