Explain with an example that the magnitude of displacement may be zero but the corresponding path length is not zero.

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(N/A) Consider a car starting from the origin $O$ $(0 \ m)$,moving to point $P$ $(360 \ m)$,and then returning to the origin $O$.
In this case,the initial position is $x_i = 0 \ m$ and the final position is $x_f = 0 \ m$.
The displacement is defined as $\Delta x = x_f - x_i = 0 \ m - 0 \ m = 0 \ m$.
However,the total path length covered is the sum of the distances of the two segments: $OP + PO = 360 \ m + 360 \ m = 720 \ m$.
Thus,it is demonstrated that the magnitude of displacement can be zero while the path length is non-zero.

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