The model of the longitudinal impact rod was designed as mechanical system with final number of the degrees of the liberty. The Equations of the motion are transformed to type, when in structure of the equations is presented parameter, defining velocity of the sound in material rod. This allows the natural image to match the results with wave model of the longitudinal impact. The Presented algorithm of the numerical decision of the equations of the motion and its realization at modeling of the longitudinal impact of the test object.