Position is the place you are at any given time you see,
The instantaneous rate of change of that is the velocity,
Which is direction and the speed two parts of information,
Its instantaneous rate of change is called acceleration.

The total distance traveled is by no means an atrocity,
the integral of absolute value of the velocity!
Another point of interest know the integral of force is work.
Accelerations rate of change is impulse also known as jerk.

Displacement is how far you are from your initial starting spot,
Remembering the average value of a function is a lot,
One over B minus A times the value of the integral
from A to B of f of x dx if on an interval.