Calculas

A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. The winch pulls in rope at a rate of 4 feet per second. Determine the speed of the boat when there is 37 feet of rope out.
ft/sec???
can someone please tell me which formula to use???

Thanks

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  1. Formula? You have to think and analyze. That is the nature of physics.

    In this case, you have a right triangle.

    let the hypotenuse be x, the horizontal be d, and height (12).

    12^2=x^2-d^2
    take the derivative.
    0=2x dx/dt - 2d dd/dt
    or dx/dt=d/x dd/dt

    but dx/dt=-4ft/sec
    Next,figure d when x is 37
    d^2=37^2-12^2 figure it.
    dd/dt=speedboat=37/d * -4ft/s

    and that is it.

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    bobpursley
  2. I am still lost :(

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