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AP EAMCET20227 Jul 2022Morning ShiftPhysicsMotion in One DimensionActual

A biker travels 1 3 of the distance L with speed v₁ and 2 3 of the distance with speed v₂ . Then the average speed is

Options

  1. Av₁ v₂ v₁+v₂
  2. B3 v₁ v₂ 2 v₁+v₂
  3. C3 v₁ v₂ v₁+2 v₂
  4. Dv₁+v₂ v₁ v₂

Correct answer

B. 3 v₁ v₂ 2 v₁+v₂

Step-by-step solution

The given situation is shown below Average speed = Total distance Time taken In given situation time to cover first part, t₁= L / 3 v₁ = L 3 v₁ ( Time = Distance / Speed ) and time to cover second part of journey, t₂= 2 L / 3 v₂ = 2 L 3 v₂ So, average speed for complete journey = ( L / 3+2 L / 3 L 3 v₁ + 2 L / 3 v₂ )= 3 v₁ v₂ 2 v₁+v₂

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