Does the displacement of an object depend on | vedclass

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(B) Displacement is defined as the change in position of an object,given by $\Delta x = x_f - x_i$,where $x_f$ is the final position and $x_i$ is the

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No

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(B) Displacement is defined as the change in position of an object,given by $\Delta x = x_f - x_i$,where $x_f$ is the final position and $x_i$ is the initial position.If the origin of the coordinate system is shifted by a distance $d$,the new coordinates become $x'_f = x_f - d$ and $x'_i = x_i - d$.The new displacement is $\Delta x' = x'_f - x'_i = (x_f - d) - (x_i - d) = x_f - x_i = \Delta x$.Since the displacement remains the same regardless of the shift in the origin,it does not depend on the choice of the origin.

Does the displacement of an object depend on the choice of the origin of the coordinate system?

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