Results 1 to 2 of 2

Math Help - Hard vectors help - intersection, time etc.

  1. #1
    Junior Member
    Joined
    Mar 2013
    From
    Australia
    Posts
    52

    Unhappy Hard vectors help - intersection, time etc.

    So there are three ships, which have position vectors, r and velocity vectors v, at 7.00am one morning:

    FF: (i and j are unit vectors parallel to x and y axis respectively)
    r = 186i + 44j
    v = 8i + 12j

    WS:
    r = 228i + 58j
    v = -16i + 4j

    HW:
    r = 215i + 101j
    v = -12i -16j

    a) Prove that FF and WS, continuing with their stated velocities, will collide.
    I let both v vectors equal each other to get 6i and 6j, but I really don't think that is correct.

    b) Time of collision and position vector of its location.

    c) At the moment of impact between FF and WS, HW changes directions and heads to the collision at 1.5x its previous speed. How many minutes after the collision does HW arrive at the scene?


    All help would be appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Oct 2012
    From
    Ireland
    Posts
    607
    Thanks
    168

    Re: Hard vectors help - intersection, time etc.

    a) The location of FF after a time t is (186+8t)i + (44+12t)j.
    Hint. If they collide then their i and j positions will be the same at the same time.

    b) Add the time you found in a) onto 7:00am

    c) Find the position of HW when the collision takes place. Find the distance between HW and the crash. the new speed of HW is 1.5 times the *Magnitude* of the old speed. You now know the distance it has to go and the speed it is going at so you can find when it arrives.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 7
    Last Post: September 3rd 2012, 07:29 PM
  2. Replies: 4
    Last Post: September 2nd 2012, 04:50 PM
  3. HAVING a hard time trying to figure out these proofs
    Posted in the Discrete Math Forum
    Replies: 0
    Last Post: May 30th 2012, 12:43 PM
  4. Replies: 6
    Last Post: August 23rd 2011, 01:22 PM
  5. I'm having a hard time factoring this
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 2nd 2009, 08:58 PM

Search Tags


/mathhelpforum @mathhelpforum