* Velocity: Measured in units of distance per time (e.g., meters per second, m/s).
* Gradient: Represents the rate of change of a quantity. In the context of velocity gradient, it's the change in velocity over a change in distance.
* Velocity Gradient: Therefore, the units of velocity gradient are (distance/time) / distance, which simplifies to 1/time.
Example:
If the velocity gradient is 10 m/s per meter, this means that the velocity changes by 10 m/s for every meter traveled.
Important Note: Sometimes you might see velocity gradient expressed as s⁻¹ (seconds to the power of -1), which is equivalent to 1/time.