  A superconducting state coexists with static electrical fields under the
formation of phase-slips and kinematic vortices (kV 's). Besides that, such a
resistive state installed in the superconductor is not desirable in many
applications. Then, it is essential to know the ultrafast kV dynamics for
controlling the fluxonics of the system. Thus, in this work, we studied the
dynamics of the kV 's in a mesoscopic superconductor under the influence of
external magnetic fields (H) and transport currents (Jtr). As a result, the kV
dynamics are affected by increasing H. With those significant changes, it was
possible to build a Jtr(H) phase diagram. There, in between the Meissner and
the normal states, the kV 's present three distinct behaviors. For high fields,
the vortices behave as Abrikosov-like ones, with velocities two orders of
magnitude lower than those at low fields regime. Besides that, one demonstrates
how the interplay between Jtr and the shielding currents, its controlled by H,
allowing for some quantitative predictions of boundaries in the phase diagram.
Additionally, for H's where only a kV is nucleated, for tenths of picoseconds,
a surface barrier effect acts over the instantaneous velocity of the kV.
