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# Velocity

Velocity is the rate of change of displacement ($\vecphy{s}$) with respect to time.

Velocity is given by the formula: $$\vecphy{v}=\frac{\text{displacement}}{\text{time taken}} = \frac{\vecphy{s}}{t}$$

Velocity and displacement are both vectors. (Remember that speed and distance are both scalars.)

The velocity of an object is always in the same direction as its displacement. Speed and distance have no direction.

Positive and negative numbers indicate movements in opposite directions.

A ship has a velocity of $10 \text{ m/s}$ when moving south and $-10\text{ m/s}$ when moving north. The magnitude of the velocity (and therefore the speed) is the same in both cases.

The velocity of each car changes as it turns along the curved track.