# Theoretical Velocity Calculator

## About Theoretical Velocity Calculator (Formula)

Theoretical velocity calculator is a tool used to determine the velocity of an object under ideal conditions. The theoretical velocity of an object is the velocity it would achieve if there were no external forces acting upon it, such as air resistance or friction.

The formula for calculating theoretical velocity is straightforward and is given by:

v = √(2gh)

Where:

• v is the theoretical velocity in meters per second (m/s)
• g is the acceleration due to gravity, which is approximately 9.81 m/s^2
• h is the height in meters (m) that the object falls or rises.

The formula works for any object that is falling freely under the influence of gravity, or for an object that is projected vertically upward.

For example, suppose we want to calculate the theoretical velocity of a ball that is dropped from a height of 20 meters. Using the formula above, we can calculate the velocity as follows:

v = √(2gh) v = √(2 x 9.81 x 20) v = √(392.4) v = 19.8 m/s

Therefore, the theoretical velocity of the ball is 19.8 m/s when dropped from a height of 20 meters.

It is essential to note that the theoretical velocity calculated using this formula assumes that there is no air resistance, friction, or any other external forces acting on the object. In the real world, these factors will always be present and will affect the object’s velocity.

In conclusion, the theoretical velocity calculator formula is a simple yet powerful tool used to determine the velocity of an object under ideal conditions. It is a fundamental concept in physics and has a wide range of applications, from determining the speed of projectiles to understanding the motion of planets and other celestial bodies.