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JEE Main202325 Jan 2023Morning ShiftPhysicsMotion in One DimensionActual

A car travels a distance of x with speed v 1 and then same distance x with speed v 2 in the same direction. The average speed of the car is:

Options

  1. Av 1 v 2 2 v 1 + v 2
  2. Bv 1 + v 2 2
  3. C2 x v 1 + v 2
  4. D2 v 1 v 2 v 1 + v 2

Correct answer

D. 2 v 1 v 2 v 1 + v 2

Step-by-step solution

Average velocity of car is: v avg = Total displacement Total time As the car is travelling along a straight line without turning, the magnitude of total displacement is same as the distance covered. The time taken to cover the first half is x v 1 and the time taken to cover the second half is x v 2 ∴       v avg   =   2 x x v 1 + x v 2 ⇒     v avg = 2 x v 1 v 2 v 1 x + v 2 x = 2 v 1 v 2 v 1 + v 2

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