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!

Integration of motion question

  1. Apr 9, 2012 #1
    1. The problem statement, all variables and given/known data

    A particle of mass m is subject to the force; F(t) = mae^(-bt). The initial position and speed are zero. Find x(t)

    2. Relevant equations

    F = ma

    3. The attempt at a solution

    So I used F = m d2x/dt2

    I then rearranged the formula and got d2x/dt2 = F/m

    Substituting F = mae(-bt) into the above equation, I got d2x / dt2 = ae^(-bt)

    Then I integrated once but the thing is since I am integrating ae^(-bt) with respect to time, would my limits of integration be t and 0? I assumed it would and got dx/dt = -(a/b)e^-bt + v

    Then I integrated again and got x(t) = (a/b^2)e^(-bt) + vt + x

    But since the question said v = x = 0 (my initial position and speed), so my final answer should be x(t) = (a/b^2)e^(-bt). Is that right? Thanks!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 9, 2012 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    It is right.

    ehild
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Integration of motion question
  1. Motion question (Replies: 2)

  2. Motion question - (Replies: 2)

  3. Motion Questions (Replies: 20)

  4. Motion Question (Replies: 3)

  5. Motion Question (Replies: 4)

Loading...