One of the most critical stages of scientific research is the correct interpretation of obtained results. The outcomes always depend on the tools and techniques applied during the investigation. The methods implemented within advanced software environments provide researchers with flexibility in formulating and analysing their results. The key outcome of vehicle dynamic stability analysis is the identification of the main factors influencing stability, which depend on the vehicle’s dynamic properties, the attached implement, and interactions with the ground and surrounding environment. Equally important, the driver’s skill level plays a crucial role in ensuring safe vehicle operation. The prediction of vehicle ride safety can be determined by analysing the interactions among vehicle accelerations, slope angle, and the shape of the vehicle trajectory. The orientation of the vehicle’s gravitational mass vector relative to the instantaneous tipping axis, combined with the corresponding angular velocity, defines the system’s kinetic energy. From this relationship, the critical angular velocity and the dynamic safety factor can be mathematically determined. The results obtained from testing the analysed machines cannot serve as universal reference values; however, they confirm the accuracy and practical applicability of the proposed methodology. The achieved results are consistent with the manufacturer’s recommended values. Therefore, the presented method should be widely implemented in testing procedures by manufacturers and certification bodies.