Enter the final velocity, the initial velocity, and the distance into the calculator to determine the Position and Velocity to Acceleration.

## Position and Velocity to Acceleration Formula

The following equation is used to calculate the Position and Velocity to Acceleration.

A = (v^2-u^2) / (2*s)
• Where A is the Position and Velocity to Acceleration (m/s^2)
• v is the final velocity (m/s)
• u is the initial velocity (m/s)
• s is the distance (m)

To calculate acceleration from position and velocity, subtract the initial velocity squared from the final velocity squared, then divide by 2 times the distance.

## How to Convert Position and Velocity to Acceleration?

Example Problem:

The following example problem outlines the steps and information needed to calculate the Position and Velocity to Acceleration.

First, determine the final velocity. In this example, the final velocity is calculated or measured to be 40 (m/s).

Next, determine the initial velocity. For this problem, the initial velocity is determined to be 10 (m/s).

Next, determine the distance. In this case, the distance is found to be 400 (m).

Finally, calculate the Position and Velocity to Acceleration using the formula above:

A = (v^2-u^2) / 2*s

Inserting the values from above and solving the equation with the imputed values gives:

A = (40^2-10^2) / (2*400) = 1.875(m/s^2)