  We study the classical dynamics of a particle in Snyder spacetime, adopting
the formalism of constrained Hamiltonian systems introduced by Dirac. We show
that the motion of a particle in a scalar potential is deformed with respect to
special relativity by terms of order \beta E^2. An important result is that in
the relativistic Snyder model a consistent choice of the time variable must
necessarily depend on the dynamics.
