Question $3\mathrm{.}1\mathrm{.}0\mathrm{.}25\mathrm{.}2.$ A particle moves a long a straight line with the position from the origin following the equation $s=f(t)$ with respect to time $t(s).$ What does the instantaneous velocity at a moment $t_0$ stand for?

A$.$ It represents the limit of the average velocity over a time interval from $t_0$ as such time interval shrinks to zero.

B$.$ It represents the average velocity over a time interval from $t_0.$

C$.$ It represents the ratio between the displacement and the corresponding time interval from $t_0.$

D$.$ It represents the current position of the particle from the origin.