Physic- 15
What is terminal velocity?







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. As the object accelerates (usually downwards due to gravity), the drag force acting on the object increases. At a particular speed, the drag force produced will equal the object's weight (mg). Eventually, it plummets at a constant speed called terminal velocity (also called settling velocity). Terminal velocity varies directly with the ratio of drag to weight. More drag means a lower terminal velocity, while increased weight means a higher terminal velocity. An object moving downward with greater than terminal velocity (for example because it was affected by a downward force or it fell from a thinner part of the atmosphere or it changed shape) will slow until it reaches terminal velocity.

A video about terminal velocity:
http://www.youtube.com/watch?v=1ukf2vntU44

The velocity at which the driving forces are cancelled out by the resistive forces. Terminal velocity depends a great deal upon the shape of the object that is facing the direction it is moving. Once an object has reached terminal velocity, the object is not accelerating (a=0), therefore it is not speeding up or slowing down. It is a constant velocity unless the driving forces or the resistive forces change. Typically, Terminal Velocity is only a possibility when you are dealing with fluid friction as opposed to contact friction like static or kinetic friction.

Resistive Forces
The forces that try to resist motion. The force of fluid friction (from a liquid or gas) plays the main role in creating terminal velocity.



In the movie above, it is important that you notice the following things: (use the arrow buttons on the right side of the movie to go just one frame at a time)
Initially the only force acting on the books is the force of gravity (their weight). Only as the books start falling does the force of air friction (drag) begin acting on the books.
The faster the books go, the greater the force of air friction.
Even though the two books are identical in mass and shape, the one with more surface area facing the direction of motion reaches its terminal velocity first.
The terminal velocity of each book can be seen on the graph when the velocity vs. time graph shows no increase (remains flat). It can also be seen by watching the digital velocity display. When the velocity no longer increases, the book has reached terminal velocity.


source taken from: http://www.regentsprep.org/Regents/physics/phys01/terminal/default.htm