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NEET2009PhysicsMotion in One DimensionActual

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

Options

  1. A2 v_d v_u v_d+v_u
  2. Bv_u v_d
  3. Cv_d v_u v_d+v_u
  4. Dv_u+v_d 2

Correct answer

A. 2 v_d v_u v_d+v_u

Step-by-step solution

Let t₁ and t₂ be times taken by the car to go from X to Y and then from Y to X respectively. Then, t₁+t₂= X Y v_u + X Y v_d =X Y ( v_u+v_d v_u v_d ) Total distance travelled =X Y+X Y=2 X Y Therefore, average speed of the car for this round trip is aligned v_ av & = 2 X Y X Y ( v_u+v_d v_u v_d ) or v_ av & = 2 v_u v_d v_u+v_d aligned

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