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Free Fall Acceleration Calculator

Calculate gravity and fall speed instantly with our Free Fall Acceleration Calculator. Quick, accurate, and easy tool for physics students and learners.

Have you ever dropped a ball and wondered how fast it falls? Our Free Fall Acceleration Calculator gives you the answer in seconds. It helps you find how gravity pulls objects toward Earth and how far they travel during that fall. The tool is simple, accurate, and perfect for learning or quick physics checks.

What is Free Fall Acceleration?

Free fall acceleration is the rate at which an object speeds up when it falls under gravity, without air resistance. On Earth, this acceleration is almost constant at 9.80665 m/s². This value means that every second, an object’s speed increases by about 9.8 meters per second when it’s falling freely.

Formula for Free Fall Acceleration

The formula comes from Newton’s Law of Gravitation. It shows how Earth’s gravity changes slightly with height.

Formula:

g = G × M / (R + h)²

Where:

  • G = 6.67430 × 10⁻¹¹ m³/kg/s²
  • M = 5.97219 × 10²⁴ kg (mass of Earth)
  • R = 6,371,008.77 m (radius of Earth)
  • h = height above the surface in meters
  • g = acceleration due to gravity (m/s²)

At sea level, h = 0, so

g = 9.80665 m/s².

If you increase height, g gets a bit smaller because the object is farther from Earth’s center.

How to Use the Free Fall Acceleration Calculator

It’s super easy. Enter your height above the ground, choose your unit (meters, feet, or kilometers), and hit “Calculate.”

You’ll instantly see the gravity at that height and the percent difference from standard Earth gravity.

Our calculator also shows each calculation step:

  1. Converts your height into meters
  2. Adds it to Earth’s radius
  3. Squares the total distance
  4. Calculates G × M
  5. Divides to find g
  6. Converts the result to your chosen unit

Everything happens in a blink, but you still see how it’s done.

How Do You Calculate Free Fall Acceleration?

Let’s say you drop something from 1000 meters.

Using the formula:

g = (6.67430×10⁻¹¹ × 5.97219×10²⁴) / (6,371,008.77 + 1000)²

g = 9.804 m/s²

So, at 1 km above the ground, gravity is slightly weaker than 9.80665 m/s².

How High is a 2 Second Fall?

You can find distance using:

s = ½ × g × t²

If t = 2 seconds,

s = ½ × 9.80665 × (2)² = 19.61 meters

That means, in two seconds, you fall about 19.6 meters.

How Fast Do You Fall from 50 Feet?

Convert 50 feet to meters: 50 × 0.3048 = 15.24 m

Use v = √(2 × g × h)

v = √(2 × 9.80665 × 15.24) = 17.27 m/s

That’s about 62 km/h when you hit the ground!

How Far Do You Fall in 6 Seconds?

Use s = ½ × g × t²

s = ½ × 9.80665 × (6)² = 176.52 meters

You’d fall about 176.5 meters in six seconds if there’s no air resistance.

Why Use Our Calculator?

Our tool makes learning physics fun and simple. It shows real math but explains it in a clear way. You’ll see the logic behind every step, not just the result. Whether you’re a student, teacher, or just curious, it helps you explore how gravity really works.

Final Verdict

Gravity may seem complex, but with our Free Fall Acceleration Calculator, it’s easy to understand. You’ll see how distance, height, and time connect in a fall. It’s a smart tool that makes physics both practical and interesting.

Try it now. Drop in a height, and watch how fast you fall!

FAQs

What’s the value of g on Earth?

It’s about 9.80665 m/s² at sea level.

Does gravity change with height?

Yes, it decreases slightly as you move higher.

What happens if air resistance is added?

The fall slows down, and acceleration becomes less than g.

Can this calculator work on other planets?

Currently, it’s designed for Earth, but formulas can be adapted for Mars or the Moon.

How accurate is this tool?

It uses exact constants from physics and delivers precise results up to eight decimal places.