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Question

A particle moves 3m north, then 4m east and finally 6m south. Which of the following is correct about the distance travelled and the displacement?


  1. 5m, 13m

  2. 12m, 6m

  3. 13m, 5m

  4. 3m, 5m


Solution

The correct options are
A

5m, 13m


D

3m, 5m



Let the particle start from A and finally reach B as shown. Distance is the length of the actual path taken by it.
In this case, distance =3m+4m+6m=13m

Displacement is the shortest distance between the initial and final position.
In this case, displacement = AB
=(BC2+AC2)
=(32+42) m=5 m

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