# Terminal Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Terminal velocity, abbreviated as $$v_t$$, is when an object is falling under the influence of gravity but with no other influences.

### Terminal Velocity formula

$$\large{ v_t = \sqrt { \frac {2 \;m \; g} {C_d \; \rho \; A} } }$$

$$\large{ v_t = \sqrt { \frac {2 \; W}{C_d \; \rho \; A} } }$$

Where:

$$\large{ v_t }$$ = terminal velocity (maximum falling speed)

$$\large{ C_d }$$ = drag coefficient

$$\large{ \rho }$$   (Greek symbol rho) = fluid density

$$\large{ g }$$ = gravitational acceleration (9.80665 m/s2 or 32.1740 ft/s2)

$$\large{ m }$$ = mass

$$\large{ A }$$ = object area

$$\large{ W }$$ = object weight