Horizontal and Vertical Velocity Calculator

Formula

The formulas to calculate the horizontal and vertical velocities are:

\[ Vx = V \cos(a) \]

\[ Vy = V \sin(a) \]

Where:

\(Vx\) is the horizontal velocity (m/s)
\(Vy\) is the vertical velocity (m/s)
\(V\) is the magnitude of the velocity (m/s)
\(a\) is the angle of the velocity (degrees)

What are Horizontal and Vertical Velocities?

Horizontal and vertical velocities describe a velocity vector’s x and y-components, respectively. These components are crucial in understanding the motion of objects in two dimensions, such as projectiles.

Example Calculation

Let's assume the following values:

Magnitude of Velocity (V) = 50 m/s
Angle of Velocity (a) = 30 degrees

Using the formulas:

\[ Vx = 50 \cos(30^\circ) \approx 43.30 \, \text{m/s} \]

\[ Vy = 50 \sin(30^\circ) \approx 25.00 \, \text{m/s} \]

The Horizontal Velocity is approximately 43.30 m/s and the Vertical Velocity is approximately 25.00 m/s.