Definition:Velocity

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Definition

The velocity of a body $M$ is defined as the first derivative of the displacement of $M$ from a given point of reference with respect to time:

$\mathbf v = \dfrac {\mathrm d \mathbf s} {\mathrm d t}$


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 by definition of derivative of a vector that so is velocity.


Dimension

The dimension of measurement of velocity is $L T^{-1}$.


Units

The units of measurement of velocity are as follows:

Thus we see:

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


Also see


Historical Note

The first person to treat the velocity as a vector was Leonhard Paul Euler.


Sources