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anonymous

  • 4 years ago

This one has me completely dumbfounded.... on limits again.

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  1. anonymous
    • 4 years ago
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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.

  2. amistre64
    • 4 years ago
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    sounds like terminal velocity

  3. anonymous
    • 4 years ago
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    |dw:1328574172123:dw|

  4. anonymous
    • 4 years ago
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    that is e^(-ct/m)

  5. amistre64
    • 4 years ago
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    v to inf?

  6. anonymous
    • 4 years ago
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    im of v as t approaches infinity...sorry

  7. anonymous
    • 4 years ago
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    it seems like the answer is infinity

  8. amistre64
    • 4 years ago
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    hmm, i would think that e^-inf approaches zero so that bottoms out and your left with the rest

  9. amistre64
    • 4 years ago
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    V = Mg/c (1-0)

  10. anonymous
    • 4 years ago
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    so just Mg/c

  11. amistre64
    • 4 years ago
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    |dw:1328574433063:dw|

  12. amistre64
    • 4 years ago
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    i believe so; we can try it with some number using the wolf .... to be sure

  13. amistre64
    • 4 years ago
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    http://www.wolframalpha.com/input/?i=limit+6%281-e%5E-t%29+t+to+infinity

  14. anonymous
    • 4 years ago
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    ok so then if x approaches 0 from the right...

  15. anonymous
    • 4 years ago
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    im sorry c

  16. anonymous
    • 4 years ago
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    so mg/c

  17. anonymous
    • 4 years ago
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    L 'H

  18. amistre64
    • 4 years ago
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    is that a Lhopital?

  19. anonymous
    • 4 years ago
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    yes.

  20. amistre64
    • 4 years ago
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    you can try it; is the t considered constant now as well?

  21. anonymous
    • 4 years ago
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    yes

  22. amistre64
    • 4 years ago
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    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

  23. anonymous
    • 4 years ago
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    its not 0 though right??

  24. amistre64
    • 4 years ago
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    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

  25. amistre64
    • 4 years ago
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    i click on show steps and it comes up empty ....

  26. anonymous
    • 4 years ago
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    that graph looks really cool...lol

  27. anonymous
    • 4 years ago
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    I call your help next!

  28. amistre64
    • 4 years ago
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    divergent integrals yay!!

  29. anonymous
    • 4 years ago
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    THANKSSSSSSSS

  30. amistre64
    • 4 years ago
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    yw

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