2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/9092We present a ballistic description of the propagation of the working surface of a relativistic jet. Using simple laws of conservation of mass and linear momentum at the working surface, we obtain a full description of the jet flow parametrised by the initial velocity and mass injection. This analysis will soon be applied to particular cases of time-dependent injection of mass and velocity into the jet.2 pages, To be published in the proceedings of the conference "XXII Texas Symposium on Relativistic Astrophysics"AstrophysicsRelativistic solutions to the problem of jets with time-dependent injection velocitiestext