Terminal Velocity

📊 advanced

$$v_t = \sqrt{\frac{2mg}{\rho AC_d}}$$

The constant speed reached by a falling object when the drag force equals the gravitational force.

Variables & Units

$v_t$

Terminal velocity

Unit: $m/s$

$C_d$

Drag coefficient

Unit: Dimensionless

$\rho$

Density of fluid

Unit: $kg/m^3$

Key Information

📐 Derived From

Equilibrium of weight and air resistance.

💡 Example

Terminal velocity of a skydiver.

🔧 Applications

Aerospace and biology (seed dispersal).

⚠️ Constraints

Assumes turbulent flow drag ($F \propto v^2$).

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