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We try to understand if the nonholonomic model is adequate in the problem of a motion of a rigid ball on a stiff visco-elastic support plane. More precisely, the support is regarded as a relatively stiff visco-elastic Kelvin-Voigt medium, coinciding with horizontal plane at undeformed state. We assume also that while deformed the support induces dry friction forces, that locally are governed by the Coulomb law. We study the impact appearing as a result of falling a ball on the plane. Another problem of our interest is the motion of a ball "along the plane". We present a detailed analysis of various stages of the motion. We also compare this model with classical models of solid bodies' interaction.