The terminal velocity is not dependent on which one of the following properties? the drag coefficient 1 the force of gravity 2 cross-sectional area 3 air density 4 the falling time 5 terminal velocity depends on all of the 6 given parameters

Explanation:

When a body or object falls, basically two forces act on it:  

1. The force of air friction, also called "drag force" :  

 (1)

Where:  

is the drag coefficient  

is the density  of the fluid (air for example)

is the velocity  

is the transversal area of the object

So, this force is proportional to the transversal area of the falling element and to the square of the velocity.  

2. Its weight due to the gravity force :  

(2)

Where:  

is the mass of the object

is the acceleration due gravity  

So, at the moment when the drag force equals the gravity force, the object will have its terminal velocity:

(3)

 (4)

 (5) This is the terminal velocity

As we can see, there is no "falling time" in this equation.

Therefore, the terminal velocity is not dependent on the falling time.

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