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JEE Main20254 Apr 2025Evening ShiftPhysicsMotion in One DimensionActual

The displacement x versus time graph is shown below. (A) The average velocity during 0 to 3 s is 10 ~m / s (B) The average velocity during 3 to 5 s is 0 ~m / s (C) The instantaneous velocity at t =2 ~s is 5 ~m / s (D) The average velocity during 5 to 7 s and instantaneous velocity at t =6.5 ~s are equal (E) The average velocity from t=0 to t=9 ~s is zero Choose the correct answer from the options given below:

Options

  1. A(A), (D), (E) only
  2. B(B), (C), (D) only
  3. C(B), (D), (E) only
  4. D(B), (C), (E) only

Correct answer

D. (B), (C), (E) only

Step-by-step solution

aligned & v = s t = S _ f - S _ i t _ f - t _ i & v = ds dt = slope aligned (A) 0 to 3 sec ; v = 5-0 3 =5 / 3 ~m / s (B) 0 to 5 sec ; v = 5-5 2 =0 (C) t =2 ; slope = v =5 ~m / s (D) t =5 to 7 sec ; v = 0-5 2 =-2.5 ~m / s At t=6.5 sec ; v =10 (E) t =0 to t =9 ; v =0

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