What is the difference between momentum and kinetic energy, and how do they relate to each other in the context of physics?

Momentum is the mass of an object multiplied by its velocity, while kinetic energy is the energy an object possesses due to its motion. Momentum is a vector quantity, meaning it has both magnitude and direction, while kinetic energy is a scalar quantity, only having magnitude. In the context of physics, momentum is related to the amount of motion an object has, while kinetic energy is related to the work needed to accelerate an object to its current speed. The two are related in that an object's kinetic energy is directly proportional to its momentum.