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What is the distance an object travels per unit of time?

It's called the speed

Depends on the velocity (speed), if the speed is 10mph, then the object would travel 10 miles (distance) per hour (unit of time).

I'm unsure what your answer is saying, because velocity and speed are not the same concept. drwis gave the right answer for the way the question was asked, it's speed. If a direction were specified for some kind of coordinate system then it would be velocity.

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