Can the magnitude of a particle’s displacement be greater than the distance traveled? Explain.

Is manitude of particle is same as its traveeled distance?

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No, the magnitude of the displacement is always less than or equal to the distance traveled. If two displacements in the same direction are added, then the magnitude of their sum will be equal to the distance traveled. Two vectors in any other orientation will give a displacement less than the distance traveled. If you first walk 3 meters east, and then 4 meters south, you will have walked a total distance of 7 meters, but you will only be 5 meters from your starting point.

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The maximum possible value for displacement is the distance travelled, so it cannot be of a greater value.

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