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The displacement of a particle is independent of the path taken if only the initial and final positions are considered. It is determined by the difference between the final and initial positions, regardless of how the particle got there. This is a result of displacement being a vector quantity, where only the magnitude and direction matter, not the path taken.
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Does displacement of a particle depend on the actual path along which the particle move between two points?
No. Displacement is just the final location minus the initial location, regardless of the path.
Is displacement or distance independent of path?
Distance is independent of path, as it is the total length traveled from point A to point B, regardless of the route taken. Displacement, on the other hand, is the shortest distance between the initial and final points and is also independent of path.
Does displacements of a particle depend on the actual path along which the particle moves between two points?
No, the displacement of a particle only depends on the straight-line distance between the initial and final positions, not the actual path taken. It is a vector quantity that represents how far out of place an object is compared to a reference point.
What are properties of displacement?
Displacement is a vector quantity that describes the change in position of an object. It has both magnitude (length of the shortest path between the initial and final positions) and direction. Displacement is independent of the path taken, only dependent on the initial and final positions.
Give an example in which the distance traversed by a particle is larger than the magnitude of its displacement in the same time?
This may happen when the particle moves back and forth.
