The match stick rocket demonstrates Isaac Newton’s Laws of Motion as they relate to rocketry. Newton’s third law states that for every action, there is an opposite and equal reaction. The exhaust of the fire products from the burning match (smoke and gas) is the “action” and the movement of the rocket in the other direction is the ‘reaction.’ The action thrust is produced when the match burns in an enclosed environment. The aluminum foil acts as a rocket combustion chamber. Because the opening in the foil is small, pressure builds up in the chamber that eventually escapes as a rapid stream of smoke and gas.
Credit to NASA’s website, great experiment and flying matches never get old.