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Evaluating an exponential function that models a real-world situation

  1. Sep 11, 2013 #1

    Drakkith

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    1. The problem statement, all variables and given/known data

    Suppose that the velocity v(t) (in m/s) of a sky diver falling near the Earth's surface is given by the following exponential function, where time is measured in seconds.

    v(t) = 55 (1-e-0.18(t))

    Find the initial velocity of the sky diver and the velocity after 6 seconds.
    Round your answers to the nearest whole number as necessary.

    2. Relevant equations

    None.

    3. The attempt at a solution

    I don't know what e is, so I can't even attempt this. And it's an online course with no book, just an online program we have to use for everything. It doesn't tell me what e is either.
     
  2. jcsd
  3. Sep 11, 2013 #2

    Dick

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    e is Euler's number. http://en.wikipedia.org/wiki/E_(mathematical_constant)
     
  4. Sep 11, 2013 #3

    Drakkith

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    Staff: Mentor

  5. Sep 11, 2013 #4

    Dick

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    Yes, they probably should. Though it's kind of standard.
     
  6. Sep 11, 2013 #5

    SteamKing

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    You run into e a lot, especially in connection with natural logs.

    d/dx (e^x) = e^x

    Integral (e^x) dx = e^x + C

    e^(i*pi) + 1 = 0, which relates e, pi, i, 0, and 1 in a single formula [i = SQRT (-1)]
     
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