2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36537We show that any second order dynamic equation on a configuration space $X\to R$ of nonrelativistic mechanics can be seen as a geodesic equation with respect to some (nonlinear) connection on the tangent bundle $TX\to X$ of relativistic velocities. We compare relativistic and nonrelativistic geodesic equations, and study the Jacobi vector fields along nonrelativistic geodesics.17 pages, LaTeXGeneral Relativity and Quantum Cosmologytext