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JEE Main2012PhysicsMotion in One DimensionActual

The graph of an object's motion (along the x- axis) is shown in the figure. The instantaneous velocity of the object at points A and B are v_A and v_B respectively. Then

Options

  1. Av_A=v_B=0.5 ~m / s
  2. Bv_A=0.5 ~m / s < v_B
  3. Cv_A=0.5 ~m / s >v_B
  4. Dv_A=v_B=2 ~m / s

Correct answer

A. v_A=v_B=0.5 ~m / s

Step-by-step solution

Instantaneous velocity v= x t From graph, v_A= x_A t_A = 4 m 8 s =0.5 ~m / s and v_B= x_B t_B = 8 m 16 s =0.5 ~m / s i.e., v_A=v_B=0.5 ~m / s

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