Definition:Velocity

Definition
The velocity of a body $$M$$ is defined as the first derivative of the displacement of $$M$$ from a given point of reference.

Colloquially, it is described as the rate of change of position.

It is important to note that as displacement is a vector quantity, then it follows from Derivative of a Vector that so is velocity.

Dimension
Velocity has dimension $$L T^{-1}$$.

Units

 * The SI unit of velocity is the meter per second $$\mathrm m \ \mathrm s^{-1}$$, or, less formally, $$\mathrm m / \mathrm s$$.


 * The CGS unit of velocity is the centimeter per second $$\mathrm {cm} \ \mathrm s^{-1}$$, or, less formally, $$\mathrm {cm} / \mathrm s$$.

Thus:
 * $$1 \ \mathrm m \ \mathrm s^{-1} = 10^2 \ \mathrm {cm} \ \mathrm s^{-1} = 100 \ \mathrm {cm} \ \mathrm s^{-1}$$

Also see

 * Displacement
 * Position


 * Speed


 * Acceleration


 * Linear Momentum