It is shown in this dissertation the main models for collisions analysis and simulation and accidents reconstruction, developed specially to reproduce the collision dynamics by an appropriated approach. This approach are becoming an indispensable tool of help for a better interpretation of collision and forensic problems. The MATLAB programs developed are based on implementation of equations related to rigid vehicles interaction in a collision, and are applicable for the central and oblique collisions, supplying valid and compatible results to those obtained by momentum conservation theory, and accidents experimental data.