Results 1 to 2 of 2

Math Help - Integrating velocity at a time into distance at a time

  1. #1
    Junior Member
    Joined
    Aug 2009
    Posts
    29

    Integrating velocity at a time into distance at a time

    I am trying to integrate this with respect to time - t
    Note: t is equal to 600-t

     v(t) = -35-100 \frac {dv}{dt}

    I tried to integrate it and got this

     d(t) = -35(600-t)-100v(t)

    somehow i it should be

     d(t) = 100v(t)-35(600-t)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Jan 2009
    Posts
    105
    Quote Originally Posted by Karl Harder View Post
    I am trying to integrate this with respect to time - t
    Note: t is equal to 600-t

     v(t) = -35-100 \frac {dv}{dt}

    I tried to integrate it and got this

     d(t) = -35(600-t)-100v(t)

    somehow i it should be

     d(t) = 100v(t)-35(600-t)
    I have no idea what
    Note: t is equal to 600-t
    means. At any rate,

    v = -35 - 100 \frac{dv}{dt} \Rightarrow \frac{v + 35}{100} = - \frac{dv}{dt} \Rightarrow \frac{dt}{dv} = - \frac{100}{v + 35}.

    Therefore t = - \int \frac{100}{v + 35} \, dv etc.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 10th 2011, 02:04 PM
  2. Replies: 3
    Last Post: December 6th 2010, 02:52 AM
  3. Finding Velocity, time, distance
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: March 22nd 2010, 09:59 AM
  4. Velocity as a function of time
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: September 22nd 2009, 04:53 PM
  5. velocity over a time interval
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 14th 2008, 08:29 PM

Search Tags


/mathhelpforum @mathhelpforum