Velocity: Stuff That Just Doesn't Add Up
We are all familiar with velocities. Velocities tell us how positions change with time. Velocities can not be assigned to individual objects, as they describe a relation between pairs of objects. We know this since Galileo Galilei. Yet, in common day language this profound fact is mostly ignored.
Make a statement like "The ball has a distance of 30 meters", and sure enough, people will frown and reply with a question for clarification: "Distance to what?". Make the equally silly statements "The ball has a velocity of 20 meters per second" and the same folks will nod to indicate they perfectly…