nonholonomic mechanical systems, reduced and deformed equations of motion, Chetaev constraint force, horizontal projectile motion, kinematic parameters

In the paper we present the modification of the classical horizontal projectile motion in the homogeneous gravitational field called uniform horizontal projectile motion. The particle passing in the homogeneous gravitational field is treated as a mechanical system subjected to a nonholonomic nonlinear constraint which keeps the magnitude of the instantaneous velocity of the particle constant during the motion. We present the comparison of the kinematic parameters of both motions (classical and uniform horizontal projectile motions) under the same initial conditions. The presented problem can serve as a suitable topic for an elementary course of theoretical mechanics on the university level.