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Physics

Free Fall Calculator

Distance and velocity of free fall. Free online Free Fall Calculator. Calculate free fall online — fast, accurate, mobile-friendly, no signup needed.

Object in free fall; v = g·t, h = ½·g·t².
Distance (m)
44.145
Final velocity (m/s)
29.43

Derivation

  1. ├── 01Givent = 3
  2. ├── 02FormulaDistance (m): 4.905 × t²
  3. ├── 03Substitute4.905 × 3²
  4. ├── 04Compute Distance (m)44.145
  5. ├── 05FormulaFinal velocity (m/s): 9.81 × e.t
  6. ├── 06Substitute9.81 × e.3
  7. └── 07Compute Final velocity (m/s)29.43
Did you know?

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§01What is

Understanding the Free Fall Calculator

The Free Fall Calculator computes Distance (m) from 1 input: time (s). Distance and velocity of free fall.

Physics is the toolkit for turning a real-world observation into a prediction. Whether it’s a falling object, a moving car, or a stressed beam, the equations here are the same ones every engineer relies on. The Free Fall Calculator sits in that toolkit — it distance and velocity of free fall. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

Distance (m) = 4.905 × t² | Final velocity (m/s) = 9.81 × e.t

Where

t
Time (s)
Distance (m)
Output value
Final velocity (m/s)
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Time (s) = 3.

  1. 01Start by noting the input — Time (s): 3.
  2. 02Substitute these values into the formula: Distance (m) = 4.905 × t² | Final velocity (m/s) = 9.81 × e.t
  3. 03Compute Distance (m): the calculator returns 44.145.
  4. 04Compute Final velocity (m/s): the calculator returns 29.43.
  5. 05Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Free Fall Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Time (s) halved

t = 1.5 (from 3)

Keep every other input at its default and halve the time (s). See how distance (m) responds.

  1. 01New Time (s): 1.5
  2. 02Baseline Distance (m): 44.145
  3. 03New Distance (m): 11.0362
  4. 04Distance (m) decreases by 75% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Time (s) doubled

t = 6 (from 3)

Keep every other input at its default and double the time (s). See how distance (m) responds.

  1. 01New Time (s): 6
  2. 02Baseline Distance (m): 44.145
  3. 03New Distance (m): 176.58
  4. 04Distance (m) increases by 300% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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