  We show in general that for a relativistic theory with curved momentum space,
i.e.~a theory with deformed relativistic symmetries, the physical velocity of
particles coincides with their group velocity. This clarifies a long-standing
question about the discrepancy between coordinate and group velocity for this
kind of theories. The first evidence that this was the case had been obtained
at linear order in the deformation parameter in Phys.Lett.B700(2011)150 for the
specific case of $\kappa$-momentum space. The proof was based on the recent
understanding of how relative locality affects these scenarios. We here rely
again on a careful implementation of relative locality effects, and obtain our
result for a generic (relativistic) curved momentum space framework at all
orders in the deformation/curvature parameter. We also discuss the validity of
this result when the deformation depends on the coordinates as well as on the
momenta.
