Free Fall
Velocity, distance, time of fall
About Free Fall
Free fall is motion under gravity alone, with no other forces. The Toolenza calculator solves the three equations of constant acceleration — v = g · t, d = ½ g · t², v² = 2g · d — for whichever variable you don't know.
Numbers worth remembering
- g ≈ 9.81 m/s² on Earth, 1.62 on the Moon, 3.71 on Mars.
- 1-second drop = 4.9 m fallen, hitting 9.8 m/s (35 km/h, 22 mph) — already injury-territory.
- 3-second drop = 44 m fallen, hitting 29.4 m/s (106 km/h, 66 mph) — fatal.
- Terminal velocity (where drag balances gravity) for a human in skydiving position is roughly 53 m/s (~120 mph), reached after about 12 seconds of free-fall.
The drag caveat
This calculator ignores air resistance, which is fine for short drops (< 50 m). Past that, the no-drag answer overestimates impact speed badly — a real terminal-velocity skydiver hits the ground at ~120 mph, not the 3,000+ mph the formula would predict for a 6 km jump.
Where it applies
Physics homework, falling-object safety estimates, intro-to-kinematics problems, and the first-pass analysis of any "how fast does X fall" question.
Frequently asked questions
In vacuum, all objects fall at the same rate (Galileo's experiment). With air resistance, mass and shape matter — but the basic free-fall formula ignores air.
Where air drag equals weight — typically 200 km/h for a human in skydiving position. The free-fall formula breaks down once you approach terminal velocity.
Pick the gravity value (Moon: 1.62 m/s²; Mars: 3.71 m/s²) and the same formula applies.
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Free Fall
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