How to derive this equation

  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. We have the two relations:

    Substitute the first into the second and the deed is done.
  4. 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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