Results 1 to 4 of 4

Math Help - distance traveled

  1. #1
    Member
    Joined
    Nov 2005
    Posts
    172

    distance traveled

    A particle that moves along a straight line has velocity  v(t) = t^2e^{-2t} meters per second after t seconds. How many meters will it travel during the first t seconds?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by viet View Post
    A particle that moves along a straight line has velocity  v(t) = t^2e^{-2t} meters per second after t seconds. How many meters will it travel during the first t seconds?
    integrate v, that will give you s, the formula for the displacement
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,932
    Thanks
    334
    Awards
    1
    Quote Originally Posted by viet View Post
    A particle that moves along a straight line has velocity  v(t) = t^2e^{-2t} meters per second after t seconds. How many meters will it travel during the first t seconds?
    Quote Originally Posted by Jhevon View Post
    integrate v, that will give you s, the formula for the displacement
    Since the velocity in this case is always positive my following comment will not change the answer, but it should be mentioned.

    To find distance you need to integrate the magnitude of the velocity. ie.
     \Delta s = \int dt \, |t^2 e^{-2t}|

    -Dan
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by topsquark View Post
    Since the velocity in this case is always positive my following comment will not change the answer, but it should be mentioned.

    To find distance you need to integrate the magnitude of the velocity. ie.
     \Delta s = \int dt \, |t^2 e^{-2t}|

    -Dan
    of course. thank you Dan
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Distance Traveled
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 18th 2011, 09:04 PM
  2. Replies: 1
    Last Post: May 31st 2009, 12:19 PM
  3. Given velocity, find the distance traveled?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 24th 2009, 03:14 PM
  4. Distance traveled by a particle
    Posted in the Calculus Forum
    Replies: 5
    Last Post: February 12th 2009, 04:04 PM
  5. Distance traveled
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 21st 2007, 07:37 PM

Search Tags


/mathhelpforum @mathhelpforum