Why does a molecule, when it collides with a wall, act on it with a force proportional to the velocity, and the pressure

Why does a molecule, when it collides with a wall, act on it with a force proportional to the velocity, and the pressure is proportional to the square of the molecular velocity?

The number and force of impacts of molecules against the wall are proportional to the speed of molecules, and the pressure, in turn, is the greater, the greater the number of impacts against the wall and the greater the force of impacts. Thus, the pressure is proportional to the square of the molecular velocity.

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