Projectile movement with drag

  • Thread starter MIKART2
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Hi, i want to know what are the real effects of air (drag) in the projectile movement and free fall, i mean how drag or air resistance is calculated in both movements, with equations.
 

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  • #2
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The general differential equation for motion with airdrag is (assuming "high" velocity and fluid at rest):

[tex]
m\frac{d \vec v}{d t}=\vec F-\gamma v^2
[/tex]

Where F is your "usual" forces, gravity etc and [tex]\gamma[/tex] is a factor that depends on the geometry of your body (shape an cross-sectional area) and the density of the fluid:

[tex]
\gamma=\frac{\rho_{fl}A C_d}{2}
[/tex]

You can find more on this term http://en.wikipedia.org/wiki/Drag_equation" [Broken]

The solution to this equation is that [tex]v\sim\tanh t[/tex] which converges to a constant value as t goes to infinity i. e. there is a terminal velocity.
 
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