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Best way to measure velocity, acceleration and jerk

  1. Oct 24, 2014 #1
    Hello,

    I have a one-dimensional path associated with timings, similar to:

    t0=0, x0=0
    t1=0.1, x1=2
    t2=0.2, x2=3
    etc.

    Now I want to measure the velocity, acceleration and jerk at each time position. The first (and easy) way of doing this would be to loop through all points and compute:

    v1=(x1-x0)/(t1-t0)
    v2=(x2-x1)/(t2-t1)
    etc.

    then

    a1=(v1-v0)/(t1-t0)
    a2=(v2-v1)/(t2-t1)
    etc.

    and finally

    j1=(a1-a0)/(t1-t0)
    j2=(a2-a1)/(t2-t1)
    etc.

    But something tells me this is not the most precise way of computing this. Any suggestions?
     
  2. jcsd
  3. Oct 24, 2014 #2

    DrClaude

    User Avatar

    Staff: Mentor

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