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Imposing Coordinates

  1. Jan 7, 2009 #1
    1. The problem statement, all variables and given/known data

    Eriks disabled boat is floating at a stationary location 3 miles East and 2 miles North of Kingston. A ferry leaves Kingston heading due East towards Edmonds at 12mph. Erik leaves the sailboat in a dingy heading due South at 10ft/sec (hoping to intercept the ferry). Edmonds is 6 miles due East of Kingston.

    a) Compute Eriks spead in mph and the ferrys speed in ft/sec.
    b) Impose a coordinate system of Erik and the ferry. What are Eriks and the ferrys locations at time 0, 30sec, 7min, and 1 hour? What are the distances between them at each time-point?
    c) Explain why Erik misses the ferry.
    d) After 10 minutes a Coast Guard boat leaves Kingston heading due East at a speed of 25ft/sec. Will the Coast Gaurd boat catch the ferry before it reached Edmonds? Explain.

    2. Relevant equations
    distance = rate X time
    d=sqrt (x2-x1)^2 - (y2-y1)^2

    3. The attempt at a solution

    a) Eriks speed is 10ft/sec or 6.818 mph
    The ferrys speed is 12mph or 17.604 ft/sec
    b)Eriks orgin is (3,2)
    Ferry orgin is (0,0)

    I am confused with how to use the coordinates to calculate their positions at certain time-points.

    I think to find the distances between them at the given time-points I use the following equations and substitute them into the distance formula:
    Erik: (3, 2-6.818) Ferry: (12,0)

    Any help is appreciated!
     
  2. jcsd
  3. Jan 7, 2009 #2

    Mark44

    Staff: Mentor

    As you pointed out, d = r*t, so you need to represent Erik's and the ferry's positions at time t. To get you started, Erik's position at time t (in hours) is (3, 2 - 6.818*t). You need to find the ferry's position at time t and calculate the distance between these points. Presumably, at some value of t, the distance will be 0.
     
  4. Jan 7, 2009 #3

    Mark44

    Staff: Mentor

    By the way, are you at EdCC or maybe ShorelineCC?
     
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