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# what is terminal velocity?

Rahul Kumar
131 Points
9 years ago

The terminal velocity is the constant speed attained by a body while falling through a fluid (liquid or gas).

"A free falling object achieves its terminal velocity when the downward force of gravity (Fg)equals the upward force of drag (Fd). This causes the net force on the object to be zero, resulting in an acceleration of zero. Mathematically an object asymptotically approaches and can never reach its terminal velocity.

Dhruv Sunil Agarwal
36 Points
9 years ago

In fluid dynamics an object is moving at its terminal velocity if its speed is constant due to the restraining force exerted by the fluid through which it is moving.

A free-falling object achieves its terminal velocity when the downward force of gravity (FG) equals the upward force of drag (Fd). This causes the net force on the object to be zero, resulting in an acceleration of zero.

As the object accelerates (usually downwards due to gravity), the drag force acting on the object increases, causing the acceleration to decrease. At a particular speed, the drag force produced will equal the objects weight $(mg)$. At this point the object ceases to accelerate altogether and continues falling at a constant speed called terminal velocity (also called settling velocity). An object moving downward with greater than terminal velocity (for example because it was thrown downwards or it fell from a thinner part of the atmosphere or it changed shape) will slow down until it reaches terminal velocity.

Mathematically, terminal velocity—without considering buoyancy effects—is given by

$V_t= \sqrt{\frac{2mg}{\rho A C_d }}$

where

$V_t$ = terminal velocity,
$m$ = mass of the falling object,
$g$ = acceleration due to gravity,
$C_d$ = drag coefficient,
$\rho$ = density of the fluid through which the object is falling, and
$A$ = projected area of the object

Mathematically, an object approaches its terminal velocity asymptotically.

Vinayak Gupta
56 Points
9 years ago

when a body falls under a liquid, it first accelerates until it reaches a constant velocity, its called terminal velocity,

v = 2r2g(d-ρ)/9η.

d is density of ball

p is density of liquid

η is coeff of viscosity.

saket shrivastava
36 Points
9 years ago

boy when during a fall the buyont force equals net forces acting against it, then the net accelration is =0

hence constant speed

this speed is terminal velocity

and remember the movie by the same name is too awsome

have a nice day bro

and pls APPROVE