**Note**
- Enter the values of the two known variables in the text boxes

- Leave the text box empty for the variable you want to solve for

- Click on the calculate button.

The

Average velocity
formula used for solving the question is

$\bar{v}=\frac {v_f + v_i}{2}$

$ v_f= 2 \bar{v} - v_i$

$ v_i= 2 \bar{v} - v_f$

### Average Velocity calculator

## What is average velocity

Average velocity is defined as the ratio of change in displacement $\Delta x$ of the object and time interval $\Delta t= t_2 -t_1$.

$\bar{v} = \frac {\Delta x}{\Delta t}$

If the body is moving in straight line with constant acceleration, Average velocity over a time interval is also defined as the average of the velocity of the starting point and ending point. So if $v_i$ be the initial velocity and $v_f$ be the final velocity for the particle moving in straight with constant acceleration, then average velocity is given

$\bar{v}=\frac {v_f + v_i}{2}$

where

$\bar{v}$ -> Average velocity

$v_i$ -> initial velocity

$v_f$ -> final velocity

Average velocity is a vector quantity and SI unit is meter/sec

**Example of Few questions where you can use this formula**
**Question 1**
A object start with velocity 2 m/s and attained a velocity 10 m/s in 4 sec.Find the

average velocity
**Solution**
Given $v_i=2 \ m/s$, $v_f=10 \ m/s$, $\bar{v}$=?

Now average velocity is given

$\bar{v}=\frac {v_f + v_i}{2}= \frac { 2 + 10}{2} = 6 \ m/s$

**Question 2**
A object start with velocity 1 m/s and

average velocity for the period of time is 5 m/s. Find the final velocity.

**Solution**
Given $v_i=2 \ m/s$, $v_f$=?, $\bar{v}= 5 \ m/s$

Now average velocity is given

$\bar{v}=\frac {v_f + v_i}{2}$

Rearranging for Final velocity

$v_f = 2 \bar{v} - v_i = 2 \times 5 -1 = 9 \ m/s$

## How the Average Velocity Calculator works

1. If $v_i$ and $v_f$ are given

$\bar{v}=\frac {v_f + v_i}{2}$

2. If $v_i$ and $\bar{v}$ are given

$v_f= 2\bar{v} - v_i$

2. If $v_f$ and $\bar{v}$ are given

$v_i= 2\bar{v} - v_f$

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