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Current vehicles are equipped with many sensors used to record traffic parameters. In addition, more and more drivers use video recorders that record the speed and location of the vehicle. The data can be used in modelling and reconstruction of the process of the incidents. The aim of the study is to assess the possibility of using the MATLAB environment for the reconstruction of road accidents by modelling the vehicle movement in a two-dimensional space. In further works, the models will be supplemented with an algorithm enabling calculations in a three-dimensional space. The assumptions necessary to create the 2D models were formulated. Then the numerical models in the MATLAB environment was applied. Several simulations were performed by testing the models' operation. The conducted analysis is to prove the legitimacy of using the model in the reconstruction of simple road accidents and predicting the behavior of the vehicle on the basis of given input data
