Concept explainers
Can the displacement vector for a particle moving in two dimensions be longer than the length of path traveled by the particle over the same time interval? Can it be less? Discuss.
The comparison between the displacement vector of a particle and the length path traveled by the same particle.
Answer to Problem 4Q
Solution:
The traveled path could be as short as the displacement vector length but never shorter than it.
Explanation of Solution
The displacement vector length is the shortest path between two positions. The path length is the distance the particle travels from the initial to the final position, it could be a straight line between these two points, but it will be never shorter than the length of the displacement vector.
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