**SfC Home > Physics > Gravity >**

# Overview of Gravity Equations for Falling Objects

by Ron Kurtus (revised 27 December 2010)

A falling object is an object that you drop from some height above the ground. Since it is dropped, its initial velocity is zero (**v _{i} =** 0).

There are simple derived equations that allow you to calculate the velocity for a given time or displacement from the starting point, the displacement the object falls within a given time or when it has reached a given velocity, and the time it takes to reach a given velocity or displacement.

(

See Overview of Gravity Equation Derivations for more information.)

Note: You normally do not need to memorize these equations, but you should know where to find them in order to solve equations.

Questions you may have include:

- What are the velocity equations?
- What are the displacement equations?
- What are the time equations?

This lesson will answer those questions. Useful tool: Units Conversion

## Velocity equations

The equations for the velocity of a falling object are:

v = gt

v = √(2gy)(

See Gravity Velocity Equations for Falling Objects for details on using these equations, as well as some examples.)

## Displacement equations

The equations for the displacement that the object falls are:

y = gt^{2}/2

y = v^{2}/2g(

See Gravity Displacement Equations for Falling Objects for details on using these equations, as well as some examples.)

## Time equations

The equations for the elapsed time of a falling object are:

t = v/g

t = √(2y/g)(

See Gravity Time Equations for Falling Objects for details on using these equations, as well as some examples.)

## Summary

There are simple equations for falling objects that allow you to calculate the velocity and displacement traveled, as well as the time taken to achieve a given velocity or displacement.

Check your numbers

## Resources and references

### Websites

**Falling Bodies** - Physics Hypertextbook

**Equations for a falling body** - Wikipedia

**Gravity Calculations - Earth** - Calculator

**Kinematic Equations and Free Fall** - Physics Classroom

### Books

**Top-rated books on Simple Gravity Science**

**Top-rated books on Advanced Gravity Physics**

## Questions and comments

Do you have any questions, comments, or opinions on this subject? If so, send an email with your feedback. I will try to get back to you as soon as possible.

## Share

Click on a button to bookmark or share this page through Twitter, Facebook, email, or other services:

## Students and researchers

The Web address of this page is

**www.school-for-champions.com/science/
gravity_equations_falling.htm**

Please include it as a link on your website or as a reference in your report, document, or thesis.

## Where are you now?

## Overview of Gravity Equations for Falling Objects