Had a bit of problem today (well two but one was my dads fault

) I went to a car show, after about 30 mile driving the car it started to hesitate when accelerating moderate to hard, to such a point it was nearly un-driveable on hill and twisty roads , it did the same coming home, same amount of distance, only difference was this time it backfired slightly. Both times turned it off for a few minutes and after that it went on as normal. Ive been told its a common problem by another piazza owner but he couldn't remember exactly what.
Does anyone know what it could be, and how it could be fixed?
We took the distributer off, it does need changing, but gave the rotor and contacts a clean, trouble is, its a big test drive to check if it fixed!
The other problem is my dad sheered a bot in the alternator belt tensioner, that's to be sorted next weekend lol.
Thanks
Luke