Terminal Velocity Calculator

Enter an object's mass, cross-sectional area, and drag coefficient, along with air density and gravitational acceleration, to calculate its terminal velocity — the maximum speed it reaches during free fall. Results include terminal velocity in both m/s and km/h, plus a breakdown of the forces at play.

kg

Mass of the falling object in kilograms.

Projected area of the object facing the direction of motion.

Dimensionless coefficient depending on object shape. A skydiver in spread position is ~1.0; a sphere is ~0.47.

kg/m³

Density of the medium (air at sea level ≈ 1.225 kg/m³).

m/s²

Standard gravity on Earth is 9.81 m/s². Change this for other planets.

Results

Terminal Velocity

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Terminal Velocity (km/h)

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Terminal Velocity (mph)

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Gravitational Force (Weight)

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Drag Force at Terminal Velocity

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Force Breakdown at Terminal Velocity

Frequently Asked Questions

What is terminal velocity?

Terminal velocity is the maximum speed a falling object reaches when the downward gravitational force equals the upward drag force. At this point, net acceleration is zero and the object falls at a constant speed.

What is the terminal velocity formula?

Terminal velocity is calculated as: vt = √(2mg / (ρ × A × Cd)), where m is mass, g is gravitational acceleration, ρ is the fluid density, A is the cross-sectional area, and Cd is the drag coefficient.

What is the terminal velocity of a human skydiver?

An average human skydiver (about 80 kg) in a spread-eagle position has a terminal velocity of roughly 55–60 m/s (around 200 km/h or 120 mph). In a head-down dive position, it can exceed 90 m/s (320 km/h).

What is the terminal velocity of a baseball?

A baseball has a terminal velocity of approximately 42 m/s (about 95 mph or 150 km/h), owing to its relatively low drag coefficient (~0.47) and small cross-sectional area.

What factors affect terminal velocity?

Terminal velocity depends on mass, cross-sectional area, drag coefficient (shape), the density of the medium (air or water), and gravitational acceleration. Heavier, denser objects with small cross-sections and low drag coefficients reach higher terminal velocities.

How do I find terminal velocity?

Use the formula vt = √(2mg / (ρ × A × Cd)). Enter the mass, gravitational acceleration, fluid density, projected area, and drag coefficient into the formula — or use our calculator above to get the answer instantly.

Why does a squirrel survive falls from great heights?

Squirrels have a very low mass and a large surface area relative to their weight, resulting in a low terminal velocity — around 10 m/s. This means the impact force is small enough that they land safely without injury.

Can terminal velocity be reached in water or other fluids?

Yes. The same formula applies to any fluid medium — simply change the density value to that of water (~1000 kg/m³) or another liquid. Objects reach terminal velocity much faster in denser fluids due to higher drag forces.

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