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Boats problem

  1. Nov 13, 2013 #1
    I tried looking at the other threads on this but they seem incomplete.
    I would like someone to check my work.

    1. The problem statement, all variables and given/known data
    Two boats are heading away from shore. Boat 1 heads due north at a speed of 3 m/s relative to the shore. Relative to Boat 1, Boat 2 is moving 40° north of east at a speed of 1.7 m/s. A passenger on Boat 2 walks due east across the deck at a speed of 1.1 m/s relative to Boat 2. What is the speed of the passenger to the shore?


    2. Relevant equations
    x and y vectors.


    3. The attempt at a solution
    I set up vectors for each moving object.

    B1x = 0 B2y = 0

    B2x = 1.7cos(40°) B2y = 1.7sin(40°)

    Px = 1.1 Py = 0

    I added the x and y components

    Rx = 0 + 1.302 + 1.1 Ry = 0 + 1.09 + 0

    = 2.402 = 1.09

    Sp^2 = (2.402)^2 + (1.09)^2
    Sp ≈ 4.74 m/s.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 13, 2013 #2

    Mentz114

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    If those vectors are the velocities relative to the shore, then surely B1x=0 and B1y=3 m/s ? ( y being East).
     
  4. Nov 13, 2013 #3

    haruspex

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    Don't you mean y being N?
     
  5. Nov 13, 2013 #4

    Mentz114

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    On re-reading the question, yes, I mean North.
     
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