Courtesy Driving School State Practice Exam – Prep & Study Guide

When the speed of a vehicle doubles, its destructive power in a crash increases by four times due to the principles of kinetic energy. Kinetic energy is given by the formula \( KE = \frac{1}{2} mv^2 \), where \( m \) is the mass of the vehicle and \( v \) is its speed.

When the speed doubles, the new kinetic energy becomes \( KE = \frac{1}{2} m(2v)^2 \), which simplifies to \( KE = \frac{1}{2} m(4v^2) \). This shows that the kinetic energy—and therefore the potential destructive power—has increased by a factor of four because the speed is squared in the equation. As a result, a vehicle traveling at double the speed encounters significantly greater force upon impact, leading to more severe damage and a higher risk of injury or fatality in a crash situation.

Understanding this relationship helps to emphasize the importance of speed limits and safe driving practices, as higher speeds dramatically elevate the risks associated with collisions.