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BITSAT Physics Motion In One Dimension 2023 BITSAT 2023 (Memory Based Paper 1)

BITSAT Physics Question (2023) — Solution

Question

An object moves with speed v_1, v_2 and v_3 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. A. v_1 v_2 v_3 3 (v_1 v_2+v_2 v_3+v_3 v_1 )
  2. B. 3 v_1 v_2 v_3 (v_1 v_2+v_2 v_3+v_3 v_1 )
  3. C. (u_1+z_2+v_3 ) 3
  4. D. (v_1+v_2+v_3 ) 3 v_1 v_2 v_3

Answer

B. 3 v_1 v_2 v_3 (v_1 v_2+v_2 v_3+v_3 v_1 )

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 v_1 + x v_2 + x v_3 = 3 v_1 v_2 v_3 v_2 v_3+v_1 v_3+v_1 v_2

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