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Given a force equation and mass, find velocity

  1. Sep 26, 2014 #1
    1. The problem statement, all variables and given/known data

    The force on a particle of mass 3.0 kg moving in one dimension at time t, is given by:

    F = 9.0 +2.0t - 4.0t2. What is the velocity of the particle? (Let v0=0 and ti=0)


    2. Relevant equations

    I know to use F = ma for sure.

    And I believe this is the motion equation I should be using, but I'm not completely sure: v = v0 + at

    3. The attempt at a solution

    I substituted in the given equation for F and the given mass into Newton's 2nd Law equation and solved for the acceleration.

    I then further substituted in acceleration into the velocity equation and let v0 = 0 and t = 0, which just appeared to make the velocity 0 m/s which doesn't seem correct.

    Could someone point me in the correct direction?
     
  2. jcsd
  3. Sep 26, 2014 #2

    NascentOxygen

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    Staff: Mentor

    Hi gwhite00. I see you are new here. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]

    F= ma
    can give you the acceleration vs time graph, then use integral calculus.

    Acceleration is not constant.
     
    Last edited by a moderator: May 7, 2017
  4. Sep 26, 2014 #3
    Thanks NascentOxygen for your quick reply.

    While I do know how to use integral calculus being in Calculus III, we are not actually using it in our class. So far my professor has only touched on derivational calculus.

    I know from previous problem sets written by this professor that his calculus based problems don't even up with a integer answer so I know that t will be part of my result.

    I'm just not sure if I'm using the correct equation of motion to achieve an answer of a velocity equation at time t as an answer.
     
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