In 2000s, three-dimensional shapes of gluon particles in a proton were discovered. It has been demonstrated that asymmetrical gravitational forces exist between these particles. The asymmetric gravitational force between gluon particles in a proton causes that proton to accelerate on its own and this is the basis of the gas mo;ecular motions. In this work, a simplified acceleration model which simulated the asymmetric gravitational force in a proton was proposed. Here we report the comparative study between density distribution of gravitational forces obtained from the proposed model and Max well-Boltzmann velocity distribution that are in good agreement with expressing the behavior of gas molecules respectively.