Factual error: When Roscoe tries the same jump the Dukes did, his car goes nose first into the wall of the ravine. Upon a close up, Roscoe is fine, but not wearing a seatbelt. According to physics, he should go through the windshield or get cut up.
Continuity mistake: When the boys and Cletus are being chased by Roscoe, they use the nitro. When the car is jumping the creek, as it is seen from the back before it lands, you can see one person wearing the Deputy hat. This shot was re-used from the beginning of the episode.