When the speed of a moving object doubles, its kinetic energy

When the speed of a moving object doubles, its kinetic energy quadruples; option [B]. This relationship is due to the fact that kinetic energy is directly proportional to the square of the velocity. According to the kinetic energy formula (K.E. = 1/2 m v^2) doubling the velocity results in the kinetic energy increasing by a factor of four. This principle is fundamental to understanding the relationship between velocity and kinetic energy in classical mechanics. Therefore, option B, quadruples, is the correct answer. It illustrates the significant impact that changes in velocity can have on the kinetic energy of a moving object. This relationship underscores the importance of velocity in determining the energy associated with the motion of an object, highlighting its role in various physical phenomena and calculations involving kinetic energy.