Explanation
Calculating an Object's Acceleration
The formula for acceleration is derived from Newton's second law of motion and can be simply written as:
$a = \frac{{\Delta v}}{{\Delta t}}$Where:
 $a$ is the acceleration
 $\Delta v$ is the change in velocity
 $\Delta t$ is the time interval
Detailed Breakdown
To break it down further:

Change in velocity $\Delta v$ is calculated as:
$\Delta v = v_f  v_i$Where:
 $v_f$ is the final velocity
 $v_i$ is the initial velocity

Time interval (\Delta t) represents the period over which the change occurs.
Example Calculation
Consider an object accelerating from an initial velocity of $2 \, \text{m/s}$ to a final velocity of $10 \, \text{m/s}$ over $4 \, \text{seconds}$:

Calculate the change in velocity:
$\Delta v = 10 \, \text{m/s}  2 \, \text{m/s} = 8 \, \text{m/s}$ 
Using the acceleration formula:
$a = \frac{{8 \, \text{m/s}}}{{4 \, \text{s}}} = 2 \, \text{m/s}^2$
The object's acceleration is 2 meters per second squared.
Important Note
Different contexts may require other forms of the acceleration formula. For example, when mass (m) and force (F) are involved, Newton’s second law states:
$F = ma$In such cases, solving for acceleration gives:
$a = \frac{F}{m}$By substituting the known values into these equations, you can find the object’s acceleration in various scenarios.