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An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example.

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NCERT Solutions for Class 9 Science Chapter 8
Motion
NCERT Books for Session 2022-2023
CBSE Board and UP Board
Intext Questions
Page No-100
Questions No-1

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2 Answers

  1. Displacement refers to the straight-line distance and direction between an object’s initial and final positions. While an object may cover a certain distance during motion, its displacement can be zero under specific conditions based on the path taken.

    Explanation with Example:
    1. Scenario:
    – Consider an object initially positioned at point A.
    – The object moves along a path that forms a closed loop or returns to its starting point.

    2. Motion and Distance Covered:
    – The object moves through a certain distance during its motion, traversing a path around the loop or circuit.

    3. Displacement Calculation:
    – Despite the object covering a distance, its displacement is determined by the shortest straight-line distance between the initial and final positions.
    – In the case of the object returning to its starting point, the final position coincides with the initial position (A).

    4. Zero Displacement Example:
    – For instance, if the object moves in a closed loop, following a circular path, and eventually ends up back at point A.
    – Although the object has covered a distance around the loop, the displacement between the initial and final positions (A to A) is zero.
    – This is because displacement considers the shortest straight-line path between positions, which, in this case, is non-existent as the object returns to its starting point.

    Conclusion:
    The scenario exemplifies that while an object may traverse a distance during its motion, it can have zero displacement if it returns to its initial position or follows a closed loop. Displacement considers the shortest straight-line distance between positions, and in cases where an object ends up at the starting point, its displacement is zero despite covering a certain distance.

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  2. Yes, zero displacement is possible if an object has moved through a distance.
    Suppose a body is moving in a circular path and starts moving from point A and it returns back at same point A after completing one revolution, then the distance will be equal to its circumference while displacement will be zero.

    For more answers visit to website:
    https://www.tiwariacademy.com/ncert-solutions/class-9/science/chapter-8/

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