Horizontal and Vertical Velocity Calculator

Horizontal and Vertical Velocity Formula

The following equations are used to calculate the horizontal and vertical velocities:

\[ V_x = V \times \cos(a) \] \[ V_y = V \times \sin(a) \]

Where:

• \( V_x \) is the horizontal velocity in meters per second (m/s).
• \( V_y \) is the vertical velocity in meters per second (m/s).
• \( V \) is the magnitude of the velocity in meters per second (m/s).
• \( a \) is the angle of the velocity in degrees.

What are Horizontal and Vertical Velocities?

Definition:
Horizontal and vertical velocities represent the components of a velocity vector along the x-axis (horizontal) and y-axis (vertical), respectively. They describe the movement in each direction when an object is projected at an angle.

How to Calculate Horizontal and Vertical Velocity?

To calculate horizontal and vertical velocities:

1. Identify the magnitude of the velocity \( V \) and the angle \( a \) at which it is projected.
2. Calculate the horizontal velocity \( V_x \) using the formula \( V_x = V \times \cos(a) \).
3. Calculate the vertical velocity \( V_y \) using the formula \( V_y = V \times \sin(a) \).
4. Use these values to understand the motion in each direction.