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ExamsNEETPhysics

A car moves from X to Y with a uniform speed vᵤ and returns to Y with a uniform speed vₐ. The average speed for this round trip is

  1. √(vᵤvₐ)
  2. vᵤvₐ / (vᵤ + vₐ)
  3. (vᵤ + vₐ) / 2
  4. 2vᵤvₐ / (vᵤ + vₐ)

Correct answer: 2vᵤvₐ / (vᵤ + vₐ)

Solution

The average speed for a round trip is calculated as the total distance divided by the total time. Since the car travels the same distance in both directions, the total distance is 2d. The total time is d/vᵤ + d/vₐ. Simplifying, the average speed is 2vᵤvₐ / (vᵤ + vₐ).

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