I'm sure our spelunking resident physicist will need to make corrections (which will aid in my understanding as well) but let me try this on you first.
I may not be correct in this assessment but I am thinking you are asking for "momentum" rather than "movement". I will go with that assumption until you correct me.
We need a coordinate system. Any will do. Assume a coordinate system.
1.
Velocity. Velocity is a vector quantity of a field combining both speed and direction. In our coordinate system, since we are using vector quantities, this is a vector field. In this vector field "velocity" is defined as a change in coordinate values at a specified rate in a specified direction.
2.
Movement. Movement is strictly a change in the coordinate values without regard to any other quantity. No direction, no rate. Strictly a change in placement (change in coordinate value) within the field. Obviously, to get from one set of coordinates to another requires other considerations, thus my assumption that your question deals with "momentum" rather than just "movement".
3.
Momentum. Momentum is defined as "mass times velocity". And changes in "momentum" relate to how a "force" is applied and for how long it is applied, and the resulting vectors of that application, to an object. Change in momentum will be changes to our coordinate numbers for rate or direction or both.
I'll look forward to others input.
And
Welcome to Evc, vimesey!
Edited by AZPaul3, : clarity