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JEE Main20253 Apr 2025Evening ShiftPhysicsMotion in One DimensionActual

A particle moves along the x -axis and has its displacement x varying with time t according to the equation x = c ₀ ( t ^2-2 )+ c ( t -2)^2 where c₀ and c are constants of appropriate dimensions. Then, which of the following statements is correct?

Options

  1. Athe acceleration of the particle is 2 c ₀
  2. Bthe acceleration of the particle is 2 ~c
  3. Cthe initial velocity of the particle is 4 ~c
  4. Dthe acceleration of the particle is 2 (c+c₀ )

Correct answer

D. the acceleration of the particle is 2 (c+c₀ )

Step-by-step solution

aligned & v = dx dt =2 tC ₀+2 C ( t -2) & a = dv dt =2 C ₀+2 C aligned

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