I don't know about the rock but the kids in our local astronomy club could pick apart the other three memes pretty easily.
Here's a freebie to help you free YOUR mind:
https:// en.wikipedia.org/wiki/Hypergolic_propellant
Rocket exhaust is pushing against the nozzle it is exiting from.
If you were free floating in space with a medicine ball in your hands and you suddenly and forcefully pushed it away from you, both you and the ball will move away from the common point at which you separated from the ball.