Results 1 to 3 of 3

Math Help - Integral/Displacement Problem

  1. #1
    Junior Member
    Joined
    Jul 2008
    Posts
    46

    Integral/Displacement Problem

    A particle moves in a straight line with velocity ft/s. Find the total displacement and total distance traveled over the time interval .
    I solved the displacement however I'm not sure how to find the total distance traveled. Thanks to anyone who can help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    The distance is the integral of the speed or |v(t)|

    1/t^2 -1/25 which is >0 for 3 < t < 5 and <0 5 < t < 6

    you have integral(1/t^2 -1/25) 3 < t < 5 and
    integral(1/25 -1/t^2) 5 < t < 6
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    3
    Dear Casas4,

    Since the velocity time graph is negative in the interval, (5,6] and positive in the interval, [3,5)

    Total distance traveled = \left|\int_{3}^{5}{(t^{-2}-\frac{1}{25})}\right|+\left|\int_{5}^{6}{(t^{-2}-\frac{1}{25})}\right|

    Hope this helps.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Displacement Problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 22nd 2010, 05:38 AM
  2. displacement problem
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: January 24th 2010, 06:32 PM
  3. Velocity/displacement problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 29th 2009, 05:20 PM
  4. displacement vector problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: September 28th 2008, 02:11 PM
  5. four displacement vectors problem.
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: October 8th 2007, 01:14 PM

Search Tags


/mathhelpforum @mathhelpforum