Velocity refers to the speed of an object, which cannot exceed the speed of light, while recessive velocity describes an object moving away from an observer, often in the context of the universe's expansion. The expansion of space itself allows for recessive velocities that can exceed the speed of light, unlike the movement of objects through space. Relativity asserts that the speed of light is constant across all reference frames, complicating perceptions of relative motion. Observers moving at high speeds may perceive light traveling at the speed of light, but all velocities are ultimately relative. Understanding these concepts clarifies the distinction between motion through space and the expansion of space itself.