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Math Help - Differentials

  1. #1
    Junior Member
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    May 2008
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    Differentials

    Another practice midterm problem I'm confused about...can someone help?

    Someone traveling on a highway at a constant speed of 100+-2 km/hr for 50+- 1 seconds. Use differentials to estimate the uncertainty of your distance travelled in that 50 seconds.
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  2. #2
    Senior Member
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    d=vt, so d\pm\Delta d=(v\pm\Delta v)(t\pm\Delta t)=vt\pm t\Delta v\pm v\Delta t \pm\Delta v\Delta t Therefore, \Delta d=|t\Delta v|+|v\Delta t|+|\Delta v\Delta t|
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