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The displacement of the body is always:

The displacement of the body is always: Correct Answer Less than or equal to the distance covered by the body

CONCEPT:

Displacement:

  • It is the shortest distance between the initial and final positions of the particle.
  • It is a vector quantity.

Distance:

  • Distance is defined as the total length of the path covered by the body.
  • It is a scalar quantity.

EXPLANATION:

  • When the object moves in a straight line without changing the direction of motion its displacement will be equal to the distance.
  • If the object changes its direction of motion, its displacement will be less than the distance covered.
  • So we can say that the displacement of the body is always less than or equal to the distance covered by the body.
  • Hence, option 2 is correct.

  • The magnitude of displacement is equal to the minimum possible distance between two positions. So distance ≥ Displacement.
  • For a moving particle, distance can never be negative or zero while displacement can be (Zero displacement means that body after motion has come back to initial position). i.e., Distance > 0 but Displacement > = or < 0.
  • For motion between two points displacement is single-valued while distance depends on the actual path and so can have many values.
  • For a moving particle, distance can never decrease with time while displacement can.
  • A decrease in displacement with time means the body is moving towards the initial position.

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