Originally Posted by **ThePerfectHacker**

The way I understand it is:

Displacement (Is a vector function to assigns position as well). Its derivative is Velocity (a vector function that assigns the direction as well).

Distance (Is a real function that assigns a number which corresponds to the length traveled). Its derivative is speed (a real function that assigns a number which correspond to only its current speed, nothing more).

However, I do not know how to think of acceleration. Is it the derivative of a real or vector function?