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Notation Questions for S

  1. Jun 2, 2014 #1
    Equation 1

    ##\frac {d\vec T} {ds}##

    s=arc length=∫|v|dt


    ds/dt = |v|


    Does the s from the notation of arc length or the notation of speed? derivative of arc length vs derivative of speed

    I am getting confused because ds was referred to as distance in a video I watched, and I thought the s stood for the derivative of the arc length, but speed (s) is also being used around the textbook.
  2. jcsd
  3. Jun 2, 2014 #2
    the [itex]s(t)[/itex] is notation for the distance traveled, therefore, the change in distance with respect to time is the speed, as opposed to the velocity, which is displacement over time.
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