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How to derive this equation

  1. Sep 4, 2010 #1
    1. The problem statement, all variables and given/known data

    I wanted to know how this equation is derived. Thanks.

    2. Relevant equations

    [tex] {v_{f}}^2 = {v_{i}}^2 + 2a\Delta d [/tex]

    3. The attempt at a solution

    [tex] v_{f} - v_{i} = \frac {\Delta d a} {\Delta v} [/tex]
     
  2. jcsd
  3. Sep 4, 2010 #2
    We have the two relations:
    [tex]t=\frac{v-u}{t}[/tex]
    [tex]s=\frac{1}{2}(u+v)t[/tex]

    Substitute the first into the second and the deed is done.
     
  4. Sep 4, 2010 #3
    Start from:
    1. v=vo+at
    2. r=ro+vo*t+(at^2)/2
    Find t from 1 and replace in 2, do all the algebra and you are done.
     
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