Reconstruction and analysis of road traffic accidents represent an inherently complex task. This is especially true for one of the most significant accident categories, vehicle-pedestrian collisions. Forensic traffic and vehicle technical experts must determine the relevant impact speeds in virtually all cases, based on a wide variety of objective traces. The most relevant evidence and information can be obtained on-site within a limited period following the occurrence of the accident. These indispensable sources of information cannot be reproduced later or can only be reproduced to a very minimal extent. Therefore, it is essential to uncover as many traces at the accident site as possible and as soon as possible. In certain cases, the so-called rapid expert calculations may need to be performed on-site. In this paper, we seek solutions related to these rapid calculations and to facilitating the determination of speeds that play a critical role in vehicle-pedestrian accidents. The proposed approach may simplify the daily work of forensic traffic and vehicle technical experts.