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Can the distance traveled by a particle be zero when the displacement is not zero?

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Distance travelled by the particle cannot be zero when displacement is not zero. 

Distance is the actual length of the path covered by a moving body irrespective of the direction in which body trace.

When a body moves from one position to another, then shortest (straight line) distance between initial and final positions of the body along with direction is displacement. 

|Displacement| \(\leq\) |Distance|

The above-mentioned relation implies that the distance is always greater than or equal to displacement. 

Hence, if |Displacement| ≠ 0, then Distance ≠ 0

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