The kinetic energy formula, W = 1/2 mV², represents the work done to accelerate an object from rest to a velocity V. The factor of 1/2 arises from the integration of force over distance, reflecting that kinetic energy increases with the square of velocity. Mass (m) is included because kinetic energy is directly proportional to the object's mass; heavier objects possess more kinetic energy at the same speed. The formula illustrates that as velocity increases, kinetic energy grows exponentially due to the V² term. This comprehensive explanation clarifies the components and significance of the kinetic energy formula.
