Semantics but velocity being a measurement of somethings movement through a distance is exactly what I'm saying time is. I've stated that we use time to describe stuff, like velocity. But "time" as a physical property like gravity does not exist.
You could probably replace the usage of "time" with "increase in entropy", but it just makes it harder to understand WRT velocity. As your velocity increases, the entropy in the universe has increased as a result of whatever mechanism for acceleration is being used. If it's gas, then you are going from a nice, mostly orderly/low entropy liquid in a container, to a chaotic, high entropy gas that's now in the atmosphere.