Results 1 to 2 of 2

Math Help - Integral Values Moving Upward

  1. #1
    Member
    Joined
    Apr 2008
    Posts
    123

    Integral Values Moving Upward

    A particle moves along the y-axis, so that its velocity at any time t >= 0 is given by v(t) = tcos(t^2). At time t = 0, the position of the particle is y = 3.

    Find the values of t, 0 <= t <= 2 in which the particle moves upward.

    Can somebody show me how to do this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    The particle moves upward if is v(t)>0 and that happens for \cos t^{2} >0 \rightarrow 0 < t < \sqrt{\frac{\pi}{2}} ...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: November 6th 2011, 03:39 PM
  2. Upward vertical movement with air drag.
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: May 19th 2011, 06:03 AM
  3. Decreasing/concave upward: xlnx
    Posted in the Calculus Forum
    Replies: 8
    Last Post: April 23rd 2010, 05:38 AM
  4. Replies: 1
    Last Post: March 27th 2010, 10:05 AM
  5. A rocket is launced upward..
    Posted in the Algebra Forum
    Replies: 1
    Last Post: June 12th 2008, 06:45 PM

Search Tags


/mathhelpforum @mathhelpforum