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Free Fall Calculator

Calculate the velocity, distance and time of an object in free fall under gravity, ignoring air resistance.

Last reviewed by the Radiatus Cloud team

Calculate the velocity and distance of an object in free fall.

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Calculate free fall motion

Free fall is the motion of an object under the influence of gravity alone, with air resistance ignored. Starting from rest, the velocity after a given time equals the gravitational acceleration times the time, and the distance fallen equals one half of gravity times the time squared. This calculator computes both from the time of fall. After three seconds on Earth, an object reaches about 29.4 metres per second and has fallen about 44 metres. The velocity is also shown in kilometres per hour.

Every object falls at the same rate in free fall regardless of its mass, a famous result demonstrated by dropping objects in a vacuum.

Falling under gravity

Free-fall equations are a staple of introductory physics and apply to dropped objects, falling raindrops before they reach terminal velocity, and the early motion of projectiles. The constant acceleration due to gravity, about 9.81 metres per second squared on Earth, makes the motion predictable. Because velocity grows steadily and distance grows with the square of time, a falling object covers much more ground in later seconds than early ones.

In reality air resistance limits the speed of real falling objects to a terminal velocity, so these idealised results apply best to dense objects over short falls or in a vacuum. All calculation happens locally in your browser.

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Frequently Asked Questions

What is free fall?

It is motion under gravity alone, ignoring air resistance, where an object starting from rest accelerates at the gravitational acceleration.

What are the free-fall formulas?

Velocity equals gravity times time, and distance equals one half of gravity times time squared, starting from rest.

Do heavier objects fall faster?

No. In free fall, ignoring air resistance, all objects accelerate at the same rate regardless of mass, as shown in a vacuum.

Why does air resistance matter in reality?

Air resistance opposes motion and grows with speed, eventually balancing gravity at a terminal velocity, so real falls differ from the ideal.

What gravity value should I use?

About 9.81 metres per second squared on Earth. Change it for other bodies, such as 1.62 on the Moon.

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How to Use

Enter the time of fall to find the velocity and distance.

Disclaimer: This tool is provided "as is" without warranty of any kind. Results are for educational and utility purposes.