To aggressively thrust your pelvic region forwards (and sometimes backwards).
Man, MC Hammer sure is powerthrusting in the video for "U Can't Touch This".
During anal sex, when the man moves to the other side of the room, takes a 15 metre running start, and thrusts into his partners ass.
"Woah, my ass hurts today."
"Why's that?"
"Last night my boyfriend tried out the Pickering Powerthrust"