## About Vector Acceleration Calculator (Formula)

Acceleration is a vector quantity, meaning it has both magnitude (size) and direction. The magnitude (or length) of the acceleration vector can be determined using the Pythagorean theorem:

**A=SQRT(Ax2+Ay2)**

Where:

- $A$ represents the magnitude of the acceleration.
- $Ax$ and $Ay$ are the x and y components of the acceleration vector, respectively.

This formula calculates the length (or magnitude) of the acceleration vector in a two-dimensional plane. Essentially, you’re finding the length of the hypotenuse in a right triangle where $Ax$ and $Ay$ are the two shorter sides.

### 2. Angle of the Acceleration Vector:

To understand the direction in which the acceleration is acting, we can calculate the angle $α$ that the acceleration vector makes with the positive x-axis:

**$a=tan(Ay/Ax)$**

Where:

- $_{−1}$ is the arctangent (or inverse tangent) function.
- $Ay$ is the y-component of acceleration.
- $Ax$ is the x-component of acceleration.

This formula gives the angle in radians. To convert it to degrees, you typically multiply by $π180 $.

The use of the arctangent function ensures that the resulting angle is in the correct quadrant, as $_{−1}$ takes into account the signs of both components $Ax$ and $Ay$.