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