2003 Honda Civic Acceleration Cable Broke?

First of all it shouldn't have happened. They can tell by examining the cable whether it was defective, caused by a problem along the path of the cable or damage caused by weather, etc. Probably defective.

Pretty simple to replace but I would suggest examining as it is put in how unencumbered the pathway for the cable is. Remove or move any obstructions that could cause undo wear and tear on the cable.