# Horizontal and Vertical Velocity Calculator

## About Horizontal and Vertical Velocity Calculator (Formula)

A Horizontal and Vertical Velocity Calculator is a tool used to analyze the motion of a projectile that is launched into the air with both horizontal and vertical components of velocity. This calculator helps determine the horizontal and vertical velocities, as well as other related parameters, such as time of flight and maximum height. The formulas for calculating horizontal and vertical velocities are as follows:

Horizontal Velocity (Vx) = Initial Velocity (V₀) * cos(θ) Vertical Velocity (Vy) = Initial Velocity (V₀) * sin(θ) – (g * t)

Where:

• Initial Velocity (V₀): The magnitude of the initial velocity of the projectile.
• θ (Theta): The angle at which the projectile is launched with respect to the horizontal.
• g: Acceleration due to gravity (usually taken as 9.8 m/s²).
• t: Time elapsed since the projectile was launched.

The horizontal velocity remains constant throughout the projectile’s motion, while the vertical velocity changes due to the effect of gravity. The time of flight can be calculated using the following formula:

Time of Flight (t) = (2 * V₀ * sin(θ)) / g

The maximum height reached by the projectile can be determined using the vertical velocity formula. At the maximum height, the vertical velocity becomes zero.

The Horizontal and Vertical Velocity Calculator is useful in physics and engineering to analyze the motion of objects launched at an angle. It helps understand the components of motion and provides insights into the trajectory, time of flight, and other characteristics of the projectile. Keep in mind that air resistance is not considered in these calculations, and the results are based on ideal projectile motion.