Results 1 to 5 of 5

Math Help - Function of (x) word problem

  1. #1
    Junior Member
    Joined
    May 2010
    From
    Palmy
    Posts
    64

    Function of (x) word problem

    A sporting airplane is flying such that its height varies with time in accordance with the formula
    y = 10 + 3/(t0 + t)2, whereas its horizontal distance varies with time as x = (t0 + t)2, where t is in seconds, and x and y are in metres, t0 = 1 sec.


    (a) Find the trajectory of the airplane y as a function of x.

    (b) What is the function, describing the trajectory?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Mar 2012
    From
    Sheffield England
    Posts
    440
    Thanks
    76

    Re: Function of (x) word problem

    In each formula make t the subject and put your answers equal to one another.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,831
    Thanks
    1602

    Re: Function of (x) word problem

    Quote Originally Posted by GAVREED2 View Post
    A sporting airplane is flying such that its height varies with time in accordance with the formula
    y = 10 + 3/(t0 + t)2, whereas its horizontal distance varies with time as x = (t0 + t)2, where t is in seconds, and x and y are in metres, t0 = 1 sec.


    (a) Find the trajectory of the airplane y as a function of x.

    (b) What is the function, describing the trajectory?

    You have \displaystyle \begin{align*} y = 10 + \frac{3}{\left(t_0 + t\right)^2}  \end{align*} and \displaystyle \begin{align*} x = \left(t_0 + t\right)^2 \end{align*}.

    Surely you can see what to substitute into the first equation...
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Mar 2012
    From
    Sheffield England
    Posts
    440
    Thanks
    76

    Re: Function of (x) word problem

    My method works but longer than necessary here. See ProveIt's reply for the best way.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    May 2010
    From
    Palmy
    Posts
    64

    Re: Function of (x) word problem

    Thanks very much for both of your input!!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 20
    Last Post: November 27th 2012, 06:28 AM
  2. Function word problem.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 4th 2011, 07:36 PM
  3. Word problem function help!
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 7th 2010, 06:07 PM
  4. Function word problem
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 16th 2009, 04:29 PM
  5. Exp Function Word Problem
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 19th 2009, 04:36 PM

Search Tags


/mathhelpforum @mathhelpforum