Enter the x-component of acceleration and the y-component of acceleration into the calculator to determine the Vector Acceleration. This calculator will display the direction and magnitude of the acceleration.

## Vector Acceleration Formula

The following equation is used to calculate the Vector Acceleration.

A= SQRT( Ax^2 + Ay ^2)

a = tan ( Ay/Ax)

• Where A is the Vector magnitude Acceleration (m/s^2)
• a is the angle of the acceleration vector (degrees)
• Ax is the x-component of acceleration (m/s^2)
• Ay is the y-component of acceleration (m/s^2)

## What are the units for Vector Acceleration?

In the International System of Units, also known as SI units, the units for Vector Acceleration are m/s^2. The units for the angle are either radians or degrees.

## How to Calculate Vector Acceleration?

Example Problem:

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

First, determine the x-component of acceleration. In this example, the x-component of acceleration is calculated or measured to be 60 (m/s^2).

Next, determine the y-component of acceleration. For this problem, the y-component of acceleration is determined to be 30 (m/s^2).

Finally, calculate the Vector Acceleration using the formula above:

A= SQRT( Ax^2 + Ay ^2)

a = tan ( Ay/Ax)

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

A= SQRT( 60^2 + 30 ^2) = 67.082 (m/s^2)

a = tan ( 30/60) = 26.56 deg