The dynamic viscoelastic contact the impactor and isotropic elastic plate, which is a deformation of the interaction region is due to the propagation of transverse waves. Behind the front of the wave characteristics of the interaction are presented in the form of one-term radial expansions. Local crushing material is quasi-static way, its dependence on the contact force is determined by the integral relationship. From the equations of motion of the hammer and the contact target area, a system of differential equations, which is solved by using the Laplace transform. The effect of the viscoelastic properties of the impactor at the dynamic contact force are considered private contact cases. The numerical studies show that, beginning with some relaxation time drummer, comes the last sticking to the target.