$A$ particle moves along the $x$-axis and its displacement $x$ varies with time $t$ according to the equation $x = c_0(t^2 - 2) + c(t - 2)^2$,where $c_0$ and $c$ are constants of appropriate dimensions. Which of the following statements is correct?

  • A
    The acceleration of the particle is $2c_0$.
  • B
    The acceleration of the particle is $2c$.
  • C
    The initial velocity of the particle is $4c$.
  • D
    The acceleration of the particle is $2(c + c_0)$.

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