# Instantaneous Velocity Definition

In physics, velocity is defined as the rate of change in the position of an object by time. Or in other words, velocity is defined as the ratio between the change in distance over the change in time. It is a vector quantity having both magnitude and direction. Now the instantaneous velocity is defined as the velocity under the motion at a certain point in time. For instance, if a man is driving a car on a bumpy road, then the instantaneous velocity may vary at each point at a specific time. Still, if a car holds uniform velocity, then the instantaneous velocity is approximately equal to the standard velocity. The SI unit to measure instantaneous velocity is a meter per second.

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## Formula of Instantaneous Velocity

The formula used to measure the instantaneous velocity at a certain time is as follows:

\[Instantaneous{\rm{ }}velocity\; = \;\mathop {\lim }\limits_{\Delta t \to 0} \frac{{\Delta x}}{{\Delta t}} = \frac{{dx}}{{dt}}\]

**Note:**

If you want to calculate instantaneous velocity, you can use our Instantaneous Velocity Calculator.