Results 1 to 3 of 3

Math Help - Airplane and radar station functions

  1. #1
    Junior Member
    Joined
    Aug 2008
    Posts
    34

    Airplane and radar station functions

    An airplane is flying at a speed of 200 mi/h at an altitude of one mile and passes directly over a radar station at time t = 0.

    (a) Express the horizontal distance d (in miles) that the plane has flown as a function of t.

    d = 200t
    ok, well that was easy

    (b) Express the distance s between the plane and the radar station as a function of d.

    ok, now I'm kinda unsure here, so I drew a couple of pictures.
    Airplane and radar station functions-1.jpg
    Airplane and radar station functions-2.jpg
    (beautiful, I know)

    When I look at this, I see triangles. One leg is constantly 1 while the other increases according to d = 200t, and the hypotenuse is what I'm going for.... or so I think.

    s = \sqrt{d^2 + 1^2}
    so far so good.


    and now for part C
    (c) Use composition to express s as a function of t.
    so, its like f(g(x))(but with different letters)?

    I tried s = \sqrt{200t^2 + 1^2} and it was deemed incorrect.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,621
    Thanks
    426
    s = \sqrt{(200t)^2 + 1^2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Aug 2008
    Posts
    34
    Quote Originally Posted by skeeter View Post
    s = \sqrt{(200t)^2 + 1^2}


    I've really gotta quit making mistakes like that.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Probability of radar falsely registering aircraft
    Posted in the Statistics Forum
    Replies: 2
    Last Post: September 30th 2010, 09:24 PM
  2. Statistics, Train Station Scenario
    Posted in the Advanced Statistics Forum
    Replies: 0
    Last Post: January 12th 2010, 04:32 PM
  3. Pr radar detecting an aircraft
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 18th 2009, 08:59 AM
  4. Radio Station Call Letters
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: September 11th 2009, 06:33 PM
  5. Radio Station
    Posted in the Geometry Forum
    Replies: 4
    Last Post: January 25th 2007, 03:22 PM

Search Tags


/mathhelpforum @mathhelpforum