Free Fall Final Velocity Calculator

Calculate the final velocity of an object in free fall based on height, time, or initial velocity

Input Parameters

Calculation Results

Calculation Formula

vf = √(2gh + v₀²)

Where:
vf = Final velocity (m/s)
g = Acceleration due to gravity (9.81 m/s²)
h = Height (meters)
v₀ = Initial velocity (m/s)

Result

Final Velocity (m/s):

Free Fall Final Velocity Calculator Usage Guide

Learn how to use the Free Fall Final Velocity Calculator and its working principles

How to Use the Calculator

  1. Enter the height from which the object is falling in meters (m).
  2. Enter the time it takes for the object to fall in seconds (s).
  3. Enter the initial velocity of the object in meters per second (m/s) if it is not starting from rest.
  4. Click the "Calculate" button to compute the final velocity.
  5. The calculator will display the final velocity in meters per second (m/s).

Understanding the Formula

The calculator uses the following physics formula to calculate the final velocity of an object in free fall:

vf = √(2gh + v₀²)

Where:

  • vf is the final velocity of the object
  • g is the acceleration due to gravity (approximately 9.81 m/s² on Earth)
  • h is the height from which the object falls
  • v₀ is the initial velocity of the object

Example

For example, if an object falls from a height of 10 meters with an initial velocity of 0 m/s, the final velocity would be:

vf = √(2 × 9.81 × 10 + 0²) = √196.2 ≈ 14.01 m/s

Important Notes

This calculator assumes that air resistance is negligible and that the only force acting on the object is gravity. In real-world scenarios, air resistance can significantly affect the final velocity of falling objects, especially for objects with a large surface area or high velocity.