Basically I'm asking if an object's instantaneous velocity at time $t$ is $8m/s$ and its instantaneous velocity at time $t^+$ (idk latex, but basically the t + an infinitely small number) is $10m/s$, then how much has the object traveled in the time between $t$ and $t^+$?
Or in a similar vein, consider an object that travels for $2$ seconds. For $t$ in the set $(0,2]$, its instantaneous velocity is $10m/s$ but at $t = 0$, its instantaneous velocity is $8m/s$. How far does this object travel?
I don't know calculus, but only basic limits. Still, answers based on calculus are still appreciated because I may understand them in a few weeks.