Free Terminal Velocity Calculator
Calculate terminal velocity of a falling object using vt = sqrt(2 * m * g / (rho * A * Cd)).
kg
m/s²
kg/m³
m²
Terminal Velocity
42.78 m/s
Terminal Velocity (km/h)154.0 km/h
Terminal Velocity vs Mass
Terminal Velocity
Terminal velocity is reached when air drag equals gravitational force, producing zero net acceleration.
Derivation
Setting weight equal to drag: m*g = (1/2)*rho*v²*Cd*A
Solving: vt = sqrt(2*m*g / (rho*A*Cd))
Example Calculation
A skydiver (80 kg, belly-down, A = 0.7 m², Cd = 1.0) in standard atmosphere.
- 01vt = sqrt(2 * m * g / (rho * A * Cd))
- 02vt = sqrt(2 * 80 * 9.81 / (1.225 * 0.7 * 1.0))
- 03vt = sqrt(1569.6 / 0.8575)
- 04vt = sqrt(1830.6)
- 05vt ≈ 42.8 m/s ≈ 154 km/h
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