Actually it's the distance that is constant. 1000. Period. It doesn't matter if it takes .1 or 10 minutes, the bomb has to travel 1000ft.
"The arming vane, a small propeller, is rotated by airflow after weapon release. A specified number of rotations arms the fuse."
Bombs have a minature propeller on them that spins, arming the warhead. The propellor has to spin the distance of 1000 feet before it arms. If the bomb is going fast, the propeller spins fast, same if the bomb is travelling slowly, it arms more slowly. But the net effect is the bomb has to have 1,000 feet worth of air moving over the propeller before it arms.