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Distance vs. velocity

  1. Sep 18, 2007 #1
    1. The problem statement, all variables and given/known data
    Why is a parabola formed when a graph of distance(y axis) vs. velocity(x axis) is plotted against each other? (constant acceleration)

    2. Relevant equations
    s=ut+1/2at^2 (guessing?)
    v^2-u^2 = 2as (guessing?)

    3. The attempt at a solution
    I don't know if there is any relationship between veloctiy and distance without knowing the time. But my teacher told me that time was not needed to prove it was a power function....???
  2. jcsd
  3. Sep 18, 2007 #2

    I'd say you're thinking about the problem in the wrong way.

    Try drawing up the parabolic graph of distance vs velocity, and then ask yourself what the graph's shape is suggesting.

    I hope that's a good enough hint in the right direction.

    ~ Ek.
    Last edited: Sep 18, 2007
  4. Sep 18, 2007 #3
    I don't really understand...
    my data is like below

    How can I prove what kind of function is it??

    The graph looks like this...

    Attached Files:

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