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Question

A car starts from New Delhi and travels to Agra. The distance between the two cities is 300 km. The car travels back to New Delhi. What is the total distance travelled and the displacement of the car? (Assume the car reaches the same point and the route followed is exactly same for both travels.)

This question was previously asked in
RRB NTPC 2024 Undergraduate CBT 1 Question Paper (29-Aug-2025) (Shift 1)
The correct answer is

Distance travelled is 600 km and displacement is 0 km

The question involves understanding the difference between distance and displacement.

Distance is the total length of the path traveled by an object. It's a scalar quantity, meaning it only has magnitude (size) and no direction.

Displacement, on the other hand, is the shortest distance between the initial and final positions of an object. It's a vector quantity, possessing both magnitude and direction.

In this problem:

  • The car travels from New Delhi to Agra (300 km).
  • Then, it travels back from Agra to New Delhi (another 300 km).

Therefore:

  • Total distance traveled = 300 km + 300 km = 600 km
  • Displacement: Since the car returns to its starting point (New Delhi), the shortest distance between the initial and final positions is 0 km. The direction is also irrelevant because the magnitude is zero.

Thus, the correct answer is: Distance travelled is 600 km and displacement is 0 km.

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Important Questions from Position, path length and displacement

  1. A particle has displacement 12cm towards east and 9cm towards north and then 6cm vertically upward. The magnitude of the displacement of the particle is:

  2. The ratio of magnitude of displacement to distance for a moving object is always.

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