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 c_0…

A particle moves along the $\displaystyle x$-axis and has its displacement $\displaystyle x$ varying with time t according to the equation: $$x=\mathrm{c}_0\left(\mathrm{t}^2-2\right)+\mathrm{c}(\mathrm{t}-2)^2 $$ where $\displaystyle \mathrm{c}_0$ and c are constants of appropriate dimensions. Then, which of the following statements is correct?