Wile E. Coyote and Axioms

I keep having a recurring nightmare where I am trapped in the following axiom system:

A1: Coyotes and roadrunners live on the surface of a perfectly round planet.
A2: Coyotes only begin chasing roadrunners exactly 2 seconds after the roadrunner passes them.
A3: Coyotes can only catch roadrunners if they can catch up to them after having chased them.
A4: Roadrunners run faster than coyotes.
A5: Coyotes stop chasing roadrunners when they disappear from view.
A6: All coyotes have 20/20 vision.

Please add other axioms to the system, which are consistent with A1 through A6, that will ensure that I will always catch the roadrunner. Justify your claims! Help me - you're my only hope!

Hungry as ever,
Wile E. Coyote

You may work alone or in a group and turn in one per group. You may wish to be creative in your response, but it must be something that you can turn in.

Justify why the axiom(s) that you have added are consistent with A1 through A6 and then justify why the coyote will always be able to catch the roadrunner in this new axiom system.

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