Final answer:
A moving object must have kinetic energy and momentum; potential energy and rest energy are conditional or unrelated to motion.
Step-by-step explanation:
A moving object must possess kinetic energy because it relates directly to the motion of the object. Kinetic energy is also known as the energy of motion. Furthermore, if an object is moving, it also has momentum, which is the product of its mass and velocity. Potential energy, on the other hand, is the stored energy based on its position or structure, and an object in motion may or may not have potential energy depending on its circumstances. Lastly, rest energy is the intrinsic energy of a particle at rest as described by Einstein's famous equation E=mc^2 and does not apply to the dynamics of a moving classical object.