Results 1 to 2 of 2

Math Help - Displacement and Distance

  1. #1
    Junior Member alane1994's Avatar
    Joined
    Oct 2012
    From
    Iowa, United States
    Posts
    65
    Thanks
    8

    Displacement and Distance

    Here is my question.

    The function v(t)=15\cos{3t},  0 \leq t \leq 2 \pi, is the velocity in m/sec of a particle moving along the x-axis. Complete parts (a) through (c).

    a.Graph the velocity function over the given interval. then determine when the motion is in the positive direction and when it is in the negative direction.
    (I have done this part)
    b. Find the displacement over the given interval.
    (I have done this part)
    c. Find the distance traveled over the given interval.
    (This is the part that I am fuzzy on)

    For this, does it involve previously found information? Or is it a separate set of calculations all its own?
    Any help is appreciated!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,550
    Thanks
    1395

    Re: Displacement and Distance

    The distance function is the integral of the velocity function. The "displacement" is the value of the distance function at t= 2\pi. You say you have already done that. And you have found that the velocity function is negative for \pi< t< 2\pi so you need to change the sign for "distance traveled". If yu drive 100 miles east and then 100 miles west, you will be right back where you started. Your "displacement" will be 0 but you have traveled 200 miles.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Distance and Displacement Question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 26th 2011, 04:33 PM
  2. Distance and Displacement
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 15th 2010, 11:58 AM
  3. Displacement and Distance
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 20th 2009, 02:10 PM
  4. Velocity, Displacement, Distance
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 12th 2009, 02:20 PM
  5. displacement and distance
    Posted in the Calculus Forum
    Replies: 9
    Last Post: December 22nd 2008, 03:24 PM

Search Tags


/mathhelpforum @mathhelpforum