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AP EAMCET202317 May 2023Evening ShiftPhysicsMotion in One DimensionActual

If a person moving along a straight line path covers first half distance with velocity ' V ₁ ' and the next half distance with velocity ' V ₂ ', then the average velocity of the person is

Options

  1. AV₁+V₂ 2
  2. B(V₁+V₂ ) 2 V₁ V₂
  3. C2 1 V₁ + 1 V₂
  4. DV₁ V₂ V₁+V₂

Correct answer

C. 2 1 V₁ + 1 V₂

Step-by-step solution

Time taken for the first half distance is t₁= d 2 v₁ Time taken for the second half distance is t₂= d 2 v₂ Average velocity = Total distance Total time aligned & = d t₁+t₂ = d d 2 v₁ + d 2 v₂ & = 1 v₁+v₂ 2 v₁ v₂ = 2 v₁ v₂ v₁+v₂ aligned

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