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Displacement Using Tabular Reimann Sum

  1. Nov 24, 2013 #1

    Qube

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

    Find the displacement using a midpoint Reimann sum with 4 subintervals of equal width.

    minute 0, 12, 24, 36, 48, 60, 72, 84, 96
    ft/min -4, -4, 1, 4, 5, -6, 0, 5, 2

    2. Relevant equations

    Displacement is the final position minus starting position.

    3. The attempt at a solution

    Reimann sum:

    delta x = 12

    12[-4 + 4 + -6 + 5] I'm choosing all the ft/min values at the midpoints (which are 12, 36, 60, and 84).

    12[-1] = -12 feet.

    This isn't the correct answer however.
     
  2. jcsd
  3. Nov 24, 2013 #2

    Dick

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    Now why do you think Δx=12?
     
  4. Nov 24, 2013 #3

    Qube

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    Oops. I was thinking of a Reimann sum with 8 subintervals I suppose. Delta x is 24. That would make a lot more sense.
     
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