An electron accelerated from rest through a potential difference of V volts requires the use of relativistic equations to determine its final velocity. The initial attempt to use non-relativistic energy resulted in an answer exceeding the speed of light, indicating a misunderstanding of the physics involved. The correct approach involves using the relativistic kinetic energy formula, which accounts for the significant potential difference. The discussion highlights the importance of recognizing when to apply relativistic principles in calculations. Ultimately, the key takeaway is the necessity of using the appropriate equations for high-energy scenarios.