The simple explanation of acceleration is the rate of change of velocity with respect to time. The rate of change of velocity can be calculated if we know the values of initial and final velocity. Acceleration can also be determined using the relation of force and mass. Here we are taking the velocity difference to calculate the acceleration.

*$a$ =$\frac{v_{f} - v_{i}}{t}$*

**a**is the acceleration

**$v_{f}$**and

**$v_{i}$**are final and initial velocity

**t**is the time taken

**Step 1:**Write down the given quantities which is given in the question.

**Step 2:**Find out the unknown variable by substituting the given parameters in the formula

$a$ =$\frac{v_{f} - v_{i}}{t}$

Let us discuss the problems based on the acceleration.

### Solved Examples

**Question 1:**A car has an initial velocity 20m/s and it moves with uniform acceleration. After 45s the velocity become 40m/s. Calculate the acceleration of the car?

**Solution:**

Given measures are,

$v_{i}$ = 20m/s, $v_{f}$ = 40m/s, t = 45s

Formula for acceleration is,

$a$ = $\frac{v_{f} - v_{i}}{t}$

$a$ = $\frac{40 - 20}{45}$ = 1.6m/s

^{2}

**Question 2:**A bus is moving with an initial velocity of 40m/s and acceleration is 3m/s

^{2}. After 10s find its final velocity?

**Solution:**

Given measures are,

$v_{i}$ = 40m/s, $v_{f}$ = ?, t = 10s, a = 3m/s

^{2}

Formula for acceleration is,

a = $\frac{v_{f} - v_{i}}{t}$

So, $v_{f}$ = at + $v_{i}$

$v_{f}$ = 3$\times$10 + 40 = 30 + 40 = 70m/s