Launch Velocity Calculator

About Launch Velocity Calculator (Formula)

The Launch Velocity Calculator is a physics tool used to calculate the initial velocity (launch velocity) of an object launched into the air, considering the launch angle and the vertical displacement. It aids in understanding projectile motion and is valuable in sports, engineering, and scientific experiments. The formula for calculating launch velocity depends on the launch angle and the vertical displacement of the object.

Formula for calculating Launch Velocity:

Launch Velocity = √(2 * gravitational acceleration * vertical displacement * sin launch angle)

In this formula:

• “gravitational acceleration” represents the acceleration due to gravity (approximately 9.8 m/s² on Earth).
• “vertical displacement” is the vertical distance the object travels from launch to landing in meters.
• “launch angle” is the angle at which the object is launched from the horizontal, measured in degrees.

For example, if an object is launched with a launch angle of 30 degrees and reaches a vertical displacement of 10 meters, the launch velocity would be calculated as follows (assuming gravitational acceleration is 9.8 m/s²):

Launch Velocity = √(2 * 9.8 m/s² * 10 m * sin(30°)) ≈ √(196) ≈ 14 m/s

This means that the launch velocity of the object is approximately 14 meters per second.

The Launch Velocity Calculator simplifies the process of determining the initial velocity of launched objects, aiding sports enthusiasts, engineers, and researchers in analyzing projectile motion and making accurate calculations for various applications. By inputting the launch angle and vertical displacement, the calculator quickly provides the launch velocity, helping users understand and optimize the trajectories of their launched objects.