“…First, instead of focusing on the pitching about the center of gravity as most existing models do, we simulate the vehicle pitching during a full frontal crash about the point of impact. Second, contrary to traditional approaches based on the use of Newtonian formulation [4,8] for the derivation of the governing equations of motion, we use relativistic Lagrangian formulation; the model equations are further simplified by conversion to polar coordinates. The vehicle body pitches and drops at frontal impact are the main reason for the unbelted driver neck and head injury [6].…”