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How to proof or drive

  1. Sep 5, 2008 #1
    1. The problem statement, all variables and given/known data

    I try to drive distance formula which is S=vt+1/2at^2.

    I use velocity and acceleration formula to drive the distance formula but i couldn't get the distance formula.is there any one know how to drive S=vt+1/2at^2. and how that came from in the first place .

    thank you.
  2. jcsd
  3. Sep 5, 2008 #2


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    Staff Emeritus
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    Gold Member

    Its the solution to the differential equation:

    [tex]\frac{d^2s}{dt^2} = C [/tex]

    where c is a constant.
  4. Sep 5, 2008 #3


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    Homework Helper

    A more graphical method involves drawing a velocity-time graph of an object under constant acceleration from velocity u to v. It should look like a trapezium whose parallel sides are parallel to the velocity axis. The area of the parallelogram gives you the displacement, and that is given by the formula.
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