  The Newton equation describing the particle motion in constant external field
force on canonical, Lie-algebraic and quadratic space-time is investigated. We
show that for canonical deformation of space-time the dynamical effects are
absent, while in the case of Lie-algebraic noncommutativity, when spatial
coordinates commute to the time variable, the additional acceleration of
particle is generated. We also indicate, that in the case of spatial
coordinates commuting in Lie-algebraic way, as well as for quadratic
deformation, there appear additional velocity and position-dependent forces.
