Actually, it doesn't burst so much as it ruptures in a small tear. Doctors state you can actually 'feel it go'. The tear doesn't dump all the food, it just releases bacteria into your system which kills you in a few hours if not treated.

The video is correct that it is almost impossible for this to happen in normal situations due to the brain inducing a gag reflex if you continue trying to eat. There are some situations which prevent people from following that reflex.

Bulimia can actually train the body to resist the gag reflex and the constant purging can help a full stomach to tear. Documented cases exist where bulimics have died due to stomach rupture.

People who have been starving for a long period of time can eat more than they can hold. Numerous cases of POW's during WWII, that were presented with large quantities of food after being starved for long periods of time, were indicative of stomach ruptures.

Fortunately if the rupture is caught in time, apparently with emergency surgery and treatment it is not likely to kill you.

Moving this video to ant's personal queue. It failed to receive enough votes to get sifted up to the front page within 2 days.