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If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is given by the following where g is the acceleration due to gravity and c is a positive constant describing air resistance.
sounds like terminal velocity
that is e^(-ct/m)
v to inf?
im of v as t approaches infinity...sorry
it seems like the answer is infinity
hmm, i would think that e^-inf approaches zero so that bottoms out and your left with the rest
V = Mg/c (1-0)
so just Mg/c
i believe so; we can try it with some number using the wolf .... to be sure
ok so then if x approaches 0 from the right...
im sorry c
is that a Lhopital?
you can try it; is the t considered constant now as well?
Lhopital might be your best bet then, its been to long for e to be sure; I know the innards goes to 1-1 = 0
its not 0 though right??
http://www.wolframalpha.com/input/?i=limit+ab%281-e%5E%28-ct%2Fa%29%29%2Fc%2C++c+to+0 i think its gt
i click on show steps and it comes up empty ....
that graph looks really cool...lol
I call your help next!
divergent integrals yay!!