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Distance covered under variable acceleration

  1. Sep 13, 2011 #1
    Is it possible to find the distance covered in a certain time when acceleration depends on velocity, such as an electric-powered vehicle might do??
    Acceleration := K*velocity + Const
     
  2. jcsd
  3. Sep 13, 2011 #2

    rock.freak667

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    a=Kv+C

    a=mv(dv/dx)

    mv(dv/dx)=Kv+C

    you would need to solve that equation, m,K and C are constants most likely by separation of variables.
     
  4. Sep 13, 2011 #3
    Assuming K and C are constants, you can integrate to find v, then integrate to find x.
    In this case, assuming starting from stand still, v=C/K*(exp(K*t)-1)
    x = C/K*(exp(K*t)/K-t)
     
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