Enter the change in velocity, the initial position, and the final position into the calculator to determine the Position to Acceleration. 

Position to Acceleration Formula

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

A = dV^2 / (2*(p2-p1) )
  • Where A is the Position to Acceleration (m/s^2)
  • dV is the change in velocity (m/s)
  • p1 is the initial position (m)
  • p2 is the final position (m)

To calculate the acceleration from position, square the change in velocity, then divide by the product of 2 times the difference of position.

What are the units for Position to Acceleration?

The most common units for Position to Acceleration are m/s^2.

How to Calculate Position to Acceleration?

Example Problem:

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

First, determine the change in velocity. In this example, the change in velocity is determined to be 4 (m/s).

Next, determine the initial position. For this problem, the initial position is measured to be 20 (m).

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

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

A = dV^2 / (2*(p2-p1) )

Inserting the values from above and solving the equation with the imputed values gives: A = 4^2 / (2*(400-20) ) = .021 (m/s^2)