Speaker
Description
This paper proposes a mathematical framework for modeling the safe distance between a vehicle and a pedestrian, addressing a critical aspect of road safety and collision avoidance. The model is derived from kinematic principles and incorporates key parameters, including vehicle speed, pedestrian speed, and pedestrian displacement prior to potential conflict.A closed-form analytical expression for the safe distance is established, revealing a direct proportional relationship with vehicle velocity and pedestrian motion characteristics. The model is further extended to account for spatial deviations and realistic movement scenarios, enhancing its applicability in complex traffic environments.
To facilitate analysis and interpretation, an interactive MATLAB-based simulation tool is developed, enabling real-time parameter variation and dynamic visualization of vehicle–pedestrian interactions. The simulation supports comprehensive numerical experimentation under diverse conditions, including limited visibility and varying motion dynamics.
The proposed approach provides a robust analytical and computational tool for traffic accident reconstruction, safety assessment, and the design of advanced driver assistance systems (ADAS), contributing to improved pedestrian protection and risk mitigation.