**Note**
- Enter the values of the three 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 acceleration formula used for solving the question is

$a= \frac {v_f -v_i}{t}$

Here

$v_f$= Final velocity

$v_i$= initial velocity

t= time interval

a= acceleration

### Average Acceleration Calculator

## What is Average Acceleration

Acceleration is defined as the rate of change of velocity per unit time.Since velocity is a a vector quantity, Acceleration is also an vector quantity having both the magnitude and direction. SI unit of Acceleration is $m/s^2$

Average Acceleration for a body moving in straight line is defined as

$a = \frac {v_f - v_i}{t}$

Where

$v_f$ -> Final Velocity

$v_i$ -> initial Velocity

t -> Time taken

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

**Solution**
$v_i= 2 \ m/s$, $v_f= 10 \ m/s$ , t= 4 sec

Average acceleration is given as

$a = \frac {v_f - v_i}{t}$

$a= \frac {10 -2}{4} = 2 \ m/s^2$

**Question 2**
A object start with velocity 1 m/s and have acceleration 5m/s

^{2} .Find the

velocity after 5 sec.

**Solution**
$v_i= 1 \ m/s$, $v_f$= ? , t= 5 sec ,a =5m/s

^{2}
Average acceleration is given as

$a = \frac {v_f - v_i}{t}$

Rearranging this

$v_f= v_i +at$

$v_f=1 + 5 \times 5=26 \ m/s$

## How the average Acceleration Calculator works

1. if $v_f$,$v_i$, t is given

Acceleration is calculated as

$a= \frac {v_f - v_i}{t}$

2. if $v_f$,$v_i$, a is given

time is calculated as

$t= \frac {v_f -v_i}{a}$

3. if $v_f$,a, t is given

Initial velocity is calculated as

$v_i= v_f -at$

4. if $v_i$,a, t is given

Final velocity is calculated as

$v_f= v_i +at$

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