1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Related Rates word problems

  1. Feb 26, 2008 #1
    1. The problem statement, all variables and given/known data
    A boat is pulled into a dock by means of a winch 12 ft. above the deck of a boat.
    (A) the winch pulls in rope at a rate of 4 ft/sec. What is the speed of the boat when there is 13ft of rope out. What happens to the speed of the boat as it gets closer to the dock?
    (B)The boat is traveling at 4ft/sec. Determine the speed at which the winch pulls in the rope when there is 13ft of rope out. What happens to the speed at which the winch pulls in rope as the boat gets closer?

    2. Relevant equations
    12^2+x^2=z^2 z is the hypotenuse


    3. The attempt at a solution
    Found Derivative: 2x(dx/dt)=2z(dz/dt)
    dx/dt=z(dz/dt)/x I got the answer to A to be 10.4 ft/sec, is this correct?

    For B I got 20/13 ft/sec, is this correct?
     
    Last edited: Feb 26, 2008
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?



Similar Discussions: Related Rates word problems
  1. Diffeomorphism problem (Replies: 0)

  2. FEM problem (Replies: 0)

  3. Recurrence Relation (Replies: 0)

Loading...