Force is defined as mass times acceleration, not velocity, because acceleration represents the rate of change of an object's velocity, while velocity itself does not indicate a change. When an object traveling at a constant velocity collides with a stationary object, it experiences a change in momentum, illustrating that impulse, which is the change in momentum, is a more relevant concept than force in this context. The discussion highlights that a fixed unbalanced force results in uniform acceleration, whereas a constant velocity implies zero net force acting on the object. The relationship between force, mass, and acceleration is foundational in physics, and understanding these concepts requires a grasp of momentum and impulse. Overall, the conversation emphasizes the importance of distinguishing between force and momentum in physics.