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Question

Give an example in which the distance transverse by a particle is larger than the magnitude of its displacement at the same time.


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Solution

Step1: Definitions

  1. The distance between any two points is the total length of the path.
  2. The direct length between any two points measured along the shortest path between them is called displacement.

DistanceDisplacement

Step2: Example 1

  1. A taxi car travels from house to shop, which is 4 kilometers away, and then returns home in the same manner.
  2. The starting location and ending point are the same,
  3. The total distance traveled by car will be 4+4=8 km, but the displacement will be 0 km.

Step3: Example 2

  1. In a circular path, the starting and finishing sites are equivalent.
  2. Distance is equal to the circumference of the circular path(2πr) , where r is the radius
  3. Displacement is zero.

Hence, these are the examples in which the distance transverse by a particle is larger than the magnitude of its displacement at the same time


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