Physics

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A rowboat crosses a river with a velocity of 3.30 mi/h at an angle 62.5° north of west relative to the water. The river is 0.795 mi wide and carries an eastward current of 1.25 mi/h. How far upstream is the boat when it reaches the opposite shore?

  • Physics -

    Velocity component North (across river)
    = 3.3 sin 62.5 = 2.93 mi/h
    time to cross = .795/2.93 = .272 hr

    Velocity component west (upriver)
    = 3.3 cos 62.5 - 1.25
    = .274 mi /hr

    distance upstream = .274*.272 = .0744 mi
    *5280 ft.mi = 393 feet

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