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Finding acceleration given position and time

  1. Nov 26, 2016 #1
    1. The problem statement, all variables and given/known data

    An object is moving in a straight line with a constant acceleration. Its position is measured at three different times, as shown in the table below.
    Time (s) | Position, (m)
    48.40 | 9.100
    49.80 | 17.479
    51.20 | 32.816
    Calculate the magnitude of the acceleration at t=49.80 s.

    2. Relevant equations

    V(t) = V=at
    r(t)=r+v0t+0.5at2
    a=ΔV / Δt

    3. The attempt at a solution

    20161126_175913.jpg

    I started making a 3 equations system, but this got way more complex than I think it should, and way more complicated than we did in class... Is this even the right direction at solving this?

    EDIT: sorry for the hassle, solved the question.
     
    Last edited: Nov 26, 2016
  2. jcsd
  3. Nov 26, 2016 #2

    gneill

    User Avatar

    Staff: Mentor

    Would you care to share your method and result?
     
  4. Nov 26, 2016 #3
    Yes you can do it this way. There is another way to think about it, but it isn't really easier.

    I looked where you wrote your 3 eqns and they look all right. I've never seen the notation of how you labeled these equations on the left side, but that's just a label. I would label those Vs as V0 to make it clear those are V0s. But everything looks right.

    Let me ask you a question. If you took that first point and called it 0 would that change the physics?
     
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