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March 27, 2017

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You are in a boat that is traveling across a river from east to west at 4.0 m/s. the river runs north at 3.0 m/s. what is the resultant velocity of the boat?

  • Physics - ,

    Vb = 4m/s @ 180o + 3m/s @ 90o.

    X = 4*cos180 + 3*cos90 = -4 m/s.
    Y = 4*sin180 + 3*sin90 = 3 m/2.

    tanAr = Y/X = 3/-4 = -0.7500
    Ar = 36.87o = Reference angle.
    A = 180 - 36.87 = 143o.

    Vb = X/cosA = -4/cos143 = 5 m/s.

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