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Calculate the distance fallen and velocity reached after a given time in free fall.

How It Works

How Free Fall Calculator Works

Ignoring air resistance, an object in free fall accelerates steadily under gravity — velocity builds up linearly with time (v = gt), while distance fallen grows with the square of time (d = ½gt²), which is why a fall covers much more distance in its final moments than its first.

Real-World Use Cases

Who Uses Free Fall Calculator and Why

  • Calculating how far an object falls and how fast it's moving after a given time, ignoring air resistance.
  • Working through a physics homework problem involving gravity, time, distance, and final velocity.
  • Estimating fall time or impact speed for a simplified physics scenario, like a dropped object from a known height.
  • Comparing free fall behavior under different gravitational accelerations, such as Earth versus the Moon.
Common Mistakes

Mistakes to Avoid

  • Applying this to a real-world falling object where air resistance matters significantly, like a feather, piece of paper, or parachute — the idealized free-fall formulas assume no air drag, which is a poor approximation for light or high-drag objects.
  • Confusing the linear velocity relationship (v = gt) with the squared distance relationship (d = ½gt²) — velocity builds up steadily with time, but distance fallen accumulates much faster in the later part of a fall than the earlier part.
  • Forgetting to adjust the gravity value when working a non-Earth scenario — the default 9.80665 m/s² is standard Earth gravity at sea level.
Pro Tips

Tips for Best Results

  • Remember distance grows with the square of time while velocity grows linearly — an object covers far more distance in the last second of a long fall than in the first second.
  • This idealized model is a close approximation for dense, compact objects falling over short-to-moderate distances, but becomes progressively less accurate for light or high-drag objects, or over very long falls where terminal velocity becomes a factor.
Troubleshooting

Fixing Common Problems

My real-world dropped object doesn't match the calculated fall time or velocity. — This model ignores air resistance entirely — for a lightweight or high-drag object (paper, a feather, anything falling a long distance where it could approach terminal velocity), real-world results will diverge from the idealized free-fall formula.

Glossary

Terms Explained

Free fall: The motion of an object under gravity alone, with no other forces (like air resistance) considered.

Terminal velocity: The maximum speed a falling object reaches when air resistance balances gravitational force — not modeled by simple free-fall equations.

FAQ

Frequently Asked Questions

Does this account for air resistance?
No — this is the idealized free-fall case with no air drag, which is a very close approximation for dense objects falling short distances but becomes less accurate for light objects like a feather or paper falling any real distance.