Magnitude of Velocity Calculator

Formula

The formula to calculate the Magnitude of Velocity is:

\[ V_m = \sqrt{ V_x^2 + V_y^2 } \]

Where:

\( V_m \) is the velocity magnitude (m/s)
\( V_x \) is the x-component of velocity (m/s)
\( V_y \) is the y-component of velocity (m/s)

What is the Magnitude of Velocity?

The magnitude of velocity measures the hypotenuse between the x and y components of velocity. It represents the total speed of an object moving in two-dimensional space.

Example Calculation

Let's assume the following values:

X-component of Velocity (Vx) = 3 m/s
Y-component of Velocity (Vy) = 4 m/s

Using the formula to calculate the Magnitude of Velocity:

\[ V_m = \sqrt{ 3^2 + 4^2 } = \sqrt{ 9 + 16 } = \sqrt{ 25 } = 5 \text{ m/s} \]

The Magnitude of Velocity is 5 m/s.