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Equation to isolate time

  1. Dec 9, 2008 #1
    1. The problem statement, all variables and given/known data
    For quite a while I have been working on this equation and attempting to isolate time, however i have so far been unable to do so.


    2. Relevant equations
    D=VoT+1/2AT^2


    3. The attempt at a solution
    I've been going through and keep coming up with T on both sides of the equation. I'd very much appreciate any help in this area.
     
  2. jcsd
  3. Dec 9, 2008 #2

    fluidistic

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    Gold Member

  4. Dec 9, 2008 #3
    Re: Kinematics

    to isolate time in [itex] s=vt+1/2at^2 [/itex]

    [tex]
    1/2AT^2 + VoT - D = 0
    [/tex]


    a=1/2A
    b=Vo
    c=-D

    [tex]X = \frac{-b + \sqrt{b^2 - 4ac}}{2a}[/tex]

    we get

    [tex]T = \frac{-Vo + \sqrt{(Vo)^2 - 4(1/2A)(-D)}}{2(1/2A)}[/tex]
     
    Last edited: Dec 9, 2008
  5. Dec 9, 2008 #4
    Re: Kinematics

    thanks, i think that will work, i've been trying to program it into a graphing calculator, but couldnt find a way to get it.
     
  6. Dec 9, 2008 #5

    fluidistic

    User Avatar
    Gold Member

    Re: Kinematics

    Well you're lucky enough Gregg did all the job for you. (By the way it's forbidden according to the forum's rules).
    You really should learn how to find roots of any quadratic function. This is a not so hard thing to accomplish and very useful. (Don't use calculator if possible.)
     
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