# Instantaneous Velocity

Instantaneous Velocity is the average rate of change of position of a body for a very small interval of time.

In other words,

**What is Instantaneous Velocity?**

The **velocity of an object under motion at a specific point in time** is called **Instantaneous Velocity**.

The SI unit for instantaneous velocity is a meter/sec. You can cover both by the distance-time graph to calculate the exact values.

**Table of Contents**

## Formula of Instantaneous Velocity Calculator

To calculate instantaneous velocity, the suggested formula is:

\[\mathop V\nolimits_i = \mathop {\lim }\nolimits_{\Delta t \to 0} \frac{{ds}}{{dt}}\]

**Where,**

Δt = smallest interval of the time

V_{i} = instantaneous velocity

t = time of object moving

s = total displacement covered by the object

Another way to calculate the instantaneous velocity is

\[\mathop V\nolimits_i = \mathop V\nolimits_0 + T*a\]

**Where,**

V_{i} = instantaneous velocity

V_{0} = initial velocity

T = time

a = acceleration

**Note:**

To get average velocity, you can use our Average Velocity Calculator.

### How to use Instantaneous Velocity Calculator?

The steps to use an instantaneous velocity calculator are as follows:

**Step 1: **Enter the value of the initial displacement in the required input.

**Step 2: **Enter the value of the final displacement in the required input.

**Step 3: **Enter the value of the initial time in the required input.

**Step 4: **Enter the value of the final time in the required input.

**Step 5: **The calculator will automatically display an answer on the screen.

### Calculator use

Calculating instantaneous velocity manually can prove to be hectic and needs long calculations. The aim of the calculator is to defend you from messy calculations. You just need to put the initial and final velocities and periods of the moving object.