In this paper, the possible mechanisms, which are responsible for the production of fast target fragments (gray particles with energy 26 up to 400 MeV) that were emitted from the interactions of 32S nucleus with emulsion nuclei at energy 3.7 A GeV, are studied by the pseudorapidity distribution. The angular distribution of the fast protons (g-particles) emitted in the interactions of 32S-Em at 3.7 A GeV is nicely described by exp (0.96 cos θ), which was observed in proton-induced interactions up to incident energies of 800 GeV. The pseudorapidity distributions of the produced g-particles were investigated in order to study the characteristics of the emitted system of g-particles for different target sizes (CNO, Em and AgBr groups of events). In all cases, the pseudorapidity distributions were parametrized using Gaussian fits. The temperature of the system emitting g-particles (hot system) is predicated in the light of the proposed statistical model to be T ≈ 60 MeV.