Results 1 to 2 of 2

Math Help - parametric equation

  1. #1
    Junior Member
    Joined
    Jan 2008
    Posts
    31

    parametric equation

    Two objects move in the xy -plane. At time t, the position of object A is given by x = 5t - 5, y = -1t - k, and the position of object B is given by x = 3t, y = t2 - 2t - 1.

    (a) Find the value of k so that the two objects collide.
    (b) At what value of t do the objects collide?
    (c) At what point do the objects collide?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
    Joined
    Feb 2008
    From
    Yuma, AZ, USA
    Posts
    3,764
    Thanks
    78
    Quote Originally Posted by bluejewballs View Post
    Two objects move in the xy -plane. At time t, the position of object A is given by x = 5t - 5, y = -1t - k, and the position of object B is given by x = 3t, y = t2 - 2t - 1.

    (a) Find the value of k so that the two objects collide.
    (b) At what value of t do the objects collide?
    (c) At what point do the objects collide?
    setting the x coordinate equal we get.

    5t-5=3t \iff t=\frac{5}{2}

    Now we do the same thing with the y coordinates

    -1t-k=t^2-2t-1 evaluate for t=5/2 and we get

    -\frac{5}{2}-k=\frac{25}{4}-5-1 \iff -10-4k=25-24 \iff k=\frac{11}{4}

    Now just plug in all this info to find the x and y coordinates
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Parametric equation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 13th 2011, 02:16 AM
  2. Cartesian Equation and Parametric Equation
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 29th 2010, 09:33 PM
  3. [SOLVED] Parametric equation / Cartesian equation
    Posted in the Trigonometry Forum
    Replies: 9
    Last Post: July 21st 2010, 12:54 PM
  4. Replies: 2
    Last Post: May 23rd 2010, 11:46 AM
  5. Parametric Equation to Cartesian Equation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 26th 2008, 12:19 PM

Search Tags


/mathhelpforum @mathhelpforum