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a ferry is crossing a river. If the ferry is headed due north with a speed of 2.5 meters per second relative to the water and the river's velocity is 3 meters per second to the east, what will the boat's velocity be relative to earth?

  • physics -

    X = hor. = 3m/s.
    Y = ver. = 2.5m/s.

    tanA = Y / X = 2.5 / 3 = 0.8333,
    A = 39.8 deg.

    Vb = X / cosA = 3 / cos39.8 = 3.9m/s.
    @ 39.8 deg.

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