$A$ 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 $2(c + c_0)$.