Explanation Distance and displacement are used to indicate the length between two points. However, these two are not one and the same thing. While distance is the length of the actual path between two locations, displacement , on the other hand, is the length of the shortest path between two locations. Thus, displacement is the shortest distance travelled between two points.So, displacement is always either less than or equal to the distance travelled. So, the distance tells us, how much path is traveled by the body, during motion and the displacement gives us an idea of how far the body is from its starting point, and that too in which direction. Distance can never be zero whereas displacement can be zero if the body is returning back to the starting point. In other words, displacement is zero when the initial and final points are the same. If the object travels in the straight path the length of the actual path and the shortest distance are same. So the distance and the displacement are equal to each other if the object travels in the straight path. Also, a trivial case is where the body is at rest. There obviously both the distance travelled & the magnitude of the displacement vector are zero, and hence equal. Given: Can distance travelled by a particle ever be less than its displacement? When are they equal? Formula used: While distance is the length of the actual path between two locations, displacement , on the other hand, is the length of the shortest path between two locations. Calculation:

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Author: Rogawski

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Chapter 12.2, Problem 2PQ

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Whether distance travelled by a particle ever be less than its displacement?

When are they equal?

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Whether distance travelled by a particle ever be less than its displacement? When are they equal?

Solution Summary: The author explains that distance and displacement are used to indicate the length between two points, but they are not one and the same.

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To Determine: Whether distance travelled by a particle ever be less than its displacement? When are they equal?

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Chapter 12 Solutions

To Determine:

Whether distance travelled by a particle ever be less than its displacement?

When are they equal?