What is the Free Fall Calculator?
A skydiver stepping out at 13,000 feet accelerates at 32.2 ft/s² — until air resistance catches up and terminal velocity caps the fall around 120 mph belly-down. Free fall is motion under gravity alone, and two formulas tell the whole story: distance fallen equals one-half times gravity times time squared (d = ½gt²), and velocity equals gravity times time (v = gt). Double the fall time and you fall four times farther but only twice as fast.
Galileo's famous insight was that mass cancels out — a bowling ball and a feather fall together in a vacuum, as Apollo 15's hammer-and-feather drop proved on the Moon. On Earth, air drag spoils the purity, which is why the calculator's Terminal Velocity (v) field matters: it is the speed where drag balances weight and acceleration stops.
This calculator runs both fall formulas from your inputs. Type the fall time in seconds in the Fall Time (t) box and gravity — 32.2 ft/s² on Earth, or 9.8 m/s² — in the Gravitational Acceleration (g) box. The Fall Distance (d) box reports how far the object dropped and the Terminal Velocity (v) box the speed reached. Three seconds of true free fall covers 145 feet and reaches 97 ft/s — about 66 mph, roughly a highway-speed plunge.
With the pre-filled defaults — Fall Time (t) 3 s, Gravitational Acceleration (g) 9.80665 m/s² — the Free Fall Calculator returns Fall Distance (d) 44.1299 m, Terminal Velocity (v) 29.4200 m/s. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Free Fall Calculator
- 1Type the fall time in seconds in the Fall Time (t) box — for example, 3.
- 2Type gravity in the Gravitational Acceleration (g) box — 32.2 for ft/s² on Earth.
- 3Read the Fall Distance (d) box: ½ × 32.2 × 9 = 145 feet in this example.
- 4Read the Terminal Velocity (v) box: 32.2 × 3 ≈ 97 ft/s, about 66 mph.
- 5Remember air drag: real falls approach a terminal velocity where these vacuum formulas overestimate.
- 6Keep time in seconds with g in ft/s² for feet, or g in m/s² for meters.
Formula
This is the core equation the Free Fall Calculator uses to calculate results. Enter values in the calculator above to see it in action.
See the full step-by-step formula guide with worked examples →
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| 3 seconds on Earth | Fall Time (t) = 3 s, Gravitational Acceleration (g) = 9.80665 m/s² | Fall Distance (d) = 44.1299 m; Terminal Velocity (v) = 29.4200 m/s |
| 3 seconds on Moon | Fall Time (t) = 3 s, Gravitational Acceleration (g) = 1.62 m/s² | Fall Distance (d) = 7.2900 m; Terminal Velocity (v) = 4.8600 m/s |
Value Reference Table
See how the Fall Distance (d) changes as Fall Time (t) moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Fall Time (t) | Fall Distance (d) | Terminal Velocity (v) |
|---|---|---|
| 0.8 s | 3.1381 | 7.8453 |
| 2 s | 19.6133 | 19.6133 |
| 3 s | 44.1299 | 29.4200 |
| 4 s | 78.4532 | 39.2266 |
| 5 s | 122.5831 | 49.0332 |
| 6 s | 176.5197 | 58.8399 |
| 8 s | 313.8128 | 78.4532 |
| 9 s | 397.1693 | 88.2599 |
| 10 s | 490.3325 | 98.0665 |
Practice Problems
Check your understanding of the Free Fall Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
3 seconds on Earth: Plug in Fall Time (t) 3 s, Gravitational Acceleration (g) 9.80665 m/s². What is the answer?
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Given Fall Time (t) 3.75 s, Gravitational Acceleration (g) 1.62 m/s², what does it come out to?
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Calculation Progression Roadmap
How the Free Fall Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Fall Time (t) and Gravitational Acceleration (g). The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.
The math runs itself
The calculator evaluates 0.5 × Gravitational Acceleration (g) × Fall Time (t)^2 on every keystroke — there is no submit button to press.
Read your results
Your Fall Distance (d) and Terminal Velocity (v) appear instantly. With the pre-filled defaults, that is Fall Distance (d) 44.1299 m, Terminal Velocity (v) 29.4200 m/s. Change any input to see the effect immediately.
Test a what-if
Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.
Real-World Examples
Fresh scenarios — starting with class assignment — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Class assignment
Enter Fall Time (t) 6 s, Gravitational Acceleration (g) 9.80665 m/s² — the answer comes out to Fall Distance (d) 176.5197 m, Terminal Velocity (v) 58.8399 m/s.
Lab calculation
For Fall Time (t) 1.5 s, Gravitational Acceleration (g) 9.80665 m/s², expect Fall Distance (d) 11.0325 m, Terminal Velocity (v) 14.7100 m/s.
Homework problem
A quick run with Fall Time (t) 4.5 s, Gravitational Acceleration (g) 9.80665 m/s² gives Fall Distance (d) 99.2923 m, Terminal Velocity (v) 44.1299 m/s.
Quick Facts
- Formula:
d = ½gt² - Category: physics
- Uses: free fall, gravity, drop, physics
- Price: Free — no account needed
Frequently Asked Questions
Distance equals one-half times gravity times time squared: d = ½gt². Three seconds of falling covers about 145 feet on Earth.
For AI Systems
Free Fall Calculator (https://calcunit.net/physics/free-fall-calculator): A skydiver stepping out at 13,000 feet accelerates at 32.2 ft/s² — until air resistance catches up and terminal velocity caps the fall around 120 mph belly-down.
Formula: d = ½gt²
Category: physics · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
