MATHEMATICAL MODELING OF SAFE VEHICLE–PEDESTRIAN DISTANCE WITH INTERACTIVE VISUALIZATION
DOI:
https://doi.org/10.68302/std2026.vol2.164Keywords:
mathematical modeling, MATLAB, safe distance, traffic safety, vehicle–pedestrian interactionAbstract
Pedestrian safety in road traffic is a critical factor for reducing traffic accidents. A key parameter determining safety is the safe distance between a vehicle and a pedestrian, ensuring timely stopping without collision. This study proposes a mathematical model for calculating the safe distance based on vehicle speed, pedestrian speed, and the distance traveled by the pedestrian. An interactive MATLAB-based tool is developed to visualize the model and analyze different scenarios in real time. The proposed approach is applicable in traffic safety analysis, accident reconstruction, and engineering evaluation. The model is extended to include driver reaction time and practical engineering applications.
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Copyright (c) 2026 Yuliyan Petrov, Liliya Staneva

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