How does the change in distance between 1 second intervals compare from interval to interval?

it is something you choose to in-between the two numbers

1. A space between two objects, points, or units.2. The amount of time between two specified instants, events, or states.3. One of a series of predetermined distances covered at regular time...

The interval between two occurences is TIME.

A change in velocity over a time interval is called an acceleration if the velocity is increasing, or a decelleration if the velocity is decreasing.