velocity
The speed of something in a particular direction.
Velocity is the speed of something moving in a specific direction. When a car travels at 60 miles per hour heading north, that's its velocity. Speed alone tells you how fast something moves, while velocity includes both speed and direction.
Scientists and engineers care deeply about velocity because direction matters enormously in the real world. A baseball thrown toward home plate at 90 miles per hour has a very different effect than one thrown at the same speed toward the outfield. A rocket's velocity determines both how fast it travels through space and whether it will reach the Moon or miss it entirely.
In everyday conversation, people often use “speed” and “velocity” interchangeably, but in physics and mathematics, the distinction is important. When NASA calculates a spacecraft's velocity, they need to know both how fast it's moving and its precise direction. Change either one, and you've changed the velocity.
You might hear someone say a project is “gaining velocity” when it's moving forward faster and more purposefully. The word suggests motion with clear direction and momentum.