How do you throw a punch? How do you rotate the hips/feet?

[greynotsoold]

1) Pivot on the ball of the foot. This turns the hip, which turns the shoulder, which drives the punch.
2)Turn aggressively, like slamming a door.
3)Do it a few hundred thousand times.
4)I don't know about "pushing off", but it is certainly a more violent action than snubbing out a cigarette.

[toltor]

do the movements in the mirror ...more slow and see your mistakes ...