# Average Acceleration calculator

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

## 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/s2 .Find the velocity after 5 sec.
Solution
$v_i= 1 \ m/s$, $v_f$= ? , t= 5 sec ,a =5m/s2
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
$v_f= v_i +at$