Results 1 to 3 of 3

Math Help - Crazy parametric problem

  1. #1
    Member
    Joined
    Dec 2008
    Posts
    228

    Crazy parametric problem

    An object moving along in the xy-plane has position (x(t),y(t)) at t >_ (equal or more than) 0 with dx/dt = 3 + cos(t^2). The derivative of dy/dt is not explicitly given but at t=2, dy/dt = -7. At t=2, the object is at position (1,8)

    What is the acceleration vector of the object at t = 4, if, for t >_ (more than or equal) 3, the line tangent to the curve at (x(t),y(t)) has a slope of 2t+1?



    No idea how to solve it lol.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,045
    Thanks
    886
    Quote Originally Posted by Kaitosan View Post
    An object moving along in the xy-plane has position (x(t),y(t)) at t >_ (equal or more than) 0 with dx/dt = 3 + cos(t^2). The derivative of dy/dt is not explicitly given but at t=2, dy/dt = -7. At t=2, the object is at position (1,8)

    What is the acceleration vector of the object at t = 4, if, for t >_ (more than or equal) 3, the line tangent to the curve at (x(t),y(t)) has a slope of 2t+1?



    No idea how to solve it lol.
    for t \geq 3 , \frac{dy}{dt} = \frac{dx}{dt}(2t+1)

    get an expression for \frac{dy}{dt}, then determine both \frac{d^2y}{dt^2} = a_y and \frac{d^2x}{dt^2} = a_x and evaluate each component at t = 4 to determine the acceleration vector.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2008
    Posts
    228
    Haha, thanks very much. I didn't realize that I can split a x- or y- derivative from dy/dx. Appreciate it man.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Please help this problem is driving me crazy
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: January 30th 2010, 05:45 PM
  2. Crazy problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: June 12th 2009, 03:26 PM
  3. integer problem (please help me! Im going crazy!)
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: September 28th 2008, 11:55 AM
  4. Word problem (my teacher is crazy)
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 30th 2008, 02:43 PM
  5. Crazy percent problem
    Posted in the Math Topics Forum
    Replies: 9
    Last Post: January 19th 2007, 12:53 PM

Search Tags


/mathhelpforum @mathhelpforum