In this study we present an analytical description of the ultrafast localized surface plasmon and magnetic resonance dynamics in a single nanoparticle (Ag or Si, respectively), driven by an ultrashort (fs-timescale) Gaussian pulse. Three possible scenarios have been found depending on the incident field, i.e. pulse duration much shorter, similar and much longer than the localized surface plasmon resonance (LPSR) lifetime. A rich physics arises for τ pulse < τLSP R, even in the linear regime. The surface plasmon dynamics is manifested as (i) a temporal delay of the surface plasmon excitation with regard to the freely propagating pulse and (ii) as a negative exponential tail after the exciting pulse is over. In addition, for sub-fs pulses clear oscillations in the near-field decay have been observed. A similar scenario has been observed considering a non-absorbing Si sphere. Nanoparticle resonance dynamics may lead to a wealth of new phenomena and applications in nanophotonics such as multipole order resonances interference, pulse induced delay or temporal shaping on the fsscale, high harmonic generation, attosecond near-field pulse sources and electron acceleration from metasurface or 3D engineered nanostructures.