Position and Velocity to Acceleration Calculator

Formula

To calculate the Acceleration (\(A\)):

\[ A = \frac{v^2 - u^2}{2s} \]

Where:

\(A\) is the Acceleration (m/s²)
\(v\) is the Final Velocity (m/s)
\(u\) is the Initial Velocity (m/s)
\(s\) is the Distance (m)

What is Acceleration?

Acceleration is the rate of change of velocity of an object with respect to time. It is a vector quantity and is measured in meters per second squared (m/s²). The formula given here calculates acceleration based on the initial and final velocities and the distance traveled.

Example Calculation 1

Let's assume the following values:

Final Velocity (\(v\)) = 20 m/s
Initial Velocity (\(u\)) = 10 m/s
Distance (\(s\)) = 50 meters

Using the formula:

\[ A = \frac{20^2 - 10^2}{2 \times 50} = \frac{400 - 100}{100} = 3 \]

The Acceleration (A) is 3 m/s².

Example Calculation 2

Let's assume the following values:

Final Velocity (\(v\)) = 30 m/s
Initial Velocity (\(u\)) = 15 m/s
Distance (\(s\)) = 100 meters

Using the formula:

\[ A = \frac{30^2 - 15^2}{2 \times 100} = \frac{900 - 225}{200} = 3.38 \]

The Acceleration (A) is 3.38 m/s².