Entropy gain from impact and thermal equilibration

A body of mass $m$, heat capacity $c$, temperature $T_i$ and speed $v$ that stops in a large reservoir at $T_L$ produces entropy $mc[\log (T_L/T_i)+T_i/T_L-1]+m{v}^2/(2T_L)$, assuming constant heat capacity and no phase changes. The first term follows by adding the body's logarithmic entropy change to the reservoir's heat gain; the second is kinetic-energy dissipation. A numerical answer needs the reservoir temperature.