When a person means to pass gass but accidentally passes a small stool at the same time in their underpants. A blend of "fart" and "poo" and more kid appropriate than "shart."
The boy accidentally farpooted when he thought he only had to pass gas.
When one farts with contrition. A fart, as a form of apology, often on video.
I was extremely rude to Darlene at the quick mart this morning for not having my brand of cigarettes in stock, so i am now uploading a Fartpology video to youtube to make it up to her.