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Average Velocity calculator

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