1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Homework Helper

    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

    Khashishi

    User Avatar
    Science Advisor

    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)
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...