Drag forces

  • Thread starter Opus_723
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  • #1
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If I wanted to make a graph of height versus time for an object under the effects of air resistance av+bv^2 and thrown with a given initial speed, how would I go about doing that? I was also hoping to get a y versus x graph for a projectile under the same drag, but I presume I could find x versus t the same way I end up finding y versus t and then treating the two like a parameterized curve.

I thought about using ma = av+bv^2-mg and taking the integral twice to get height as a function of time, but my limited calculus skills are failing at that. Even simplifying to just bv^2 seems to be too much for me. Is this the best way to do it? Is there a numerical way to do it? (I've never done integrals numerically on a computer or anything)

In general, I don't really know how to tackle these kinds of messy integrals. Are there any resources I could learn from?

Thanks.
 

Answers and Replies

  • #2
Simon Bridge
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mdv/dt = av+bv^2 - mg

so:[tex]\int \frac{mdv}{av+bv^2-mg} = \int dt[/tex]... then find the constant of integration from the fact that v(0)=u.

http://www.jstor.org/pss/2372332
 
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