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BITSAT2023PhysicsMotion in One DimensionActual

An object moves with speed v₁, v₂ and v₃ along a line segment A B, B C and C D respectively as shown in figure. Where A B=B C and A D=3 A B , then average speed of the object will be:

Options

  1. Av₁ v₂ v₃ 3 (v₁ v₂+v₂ v₃+v₃ v₁ )
  2. B3 v₁ v₂ v₃ (v₁ v₂+v₂ v₃+v₃ v₁ )
  3. C(u₁+z₂+v₃ ) 3
  4. D(v₁+v₂+v₃ ) 3 v₁ v₂ v₃

Correct answer

B. 3 v₁ v₂ v₃ (v₁ v₂+v₂ v₃+v₃ v₁ )

Step-by-step solution

Consider, AB =x BC =x 2 x+ CD =3 x CD =3 x-2 x=x Average speed of the object = Total distance Total time = 3 x x v₁ + x v₂ + x v₃ = 3 v₁ v₂ v₃ v₂ v₃+v₁ v₃+v₁ v₂

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