When do the distance and magnitude of displacement become equal?

The distance and magnitude of displacement become equal when the path of motion is a straight line. Distance is the total length of the path traveled by an object, while displacement is the vector that connects the initial and final positions of the object. If the object moves along a curved path, the distance will be greater than the magnitude of displacement. However, if the object moves along a straight line, the distance and the magnitude of displacement will be the same, since they both measure the length of the line segment between the initial and final positions.


Question: When do the distance and magnitude of displacement become equal?

In physics, displacement is the vector that describes the change in position of an object from its initial point to its final point. Distance, on the other hand, is the scalar that measures the total length of the path traveled by the object. In general, distance and displacement are not equal, since displacement only considers the shortest straight line between the initial and final points, while distance accounts for all the intermediate points along the path. However, there are some cases where distance and displacement become equal. This happens when the object moves in a straight line without changing its direction, or when the object returns to its initial point after moving in any direction. In these cases, the length of the path is equal to the magnitude of the displacement vector, and both quantities have the same value.

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