Results 1 to 2 of 2

Thread: Related rates problem

  1. #1
    Member nautica17's Avatar
    Joined
    Aug 2009
    Posts
    121

    Related rates problem

    Well here is the problem I'm given.

    "A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 10 s?"

    So where do I start? Would I just use the equation for the area of a circle? I tried that and I don't quite know where to plug in the 10 sec.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    14,788
    Thanks
    3009
    Quote Originally Posted by nautica17 View Post
    Well here is the problem I'm given.

    "A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3 ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 10 s?"

    So where do I start? Would I just use the equation for the area of a circle? I tried that and I don't quite know where to plug in the 10 sec.
    take the derivative w/r to time of the circle area equation ... then substitute in your given information to find \frac{dA}{dt}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Related Rates Problem
    Posted in the Calculus Forum
    Replies: 0
    Last Post: Oct 18th 2011, 08:12 PM
  2. Related Rates problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Apr 20th 2010, 04:14 AM
  3. Related rates problem
    Posted in the Calculus Forum
    Replies: 5
    Last Post: Nov 7th 2009, 09:59 AM
  4. Related Rates problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Nov 8th 2008, 09:56 AM
  5. [SOLVED] Related Rates Problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Nov 12th 2006, 12:52 PM

Search Tags


/mathhelpforum @mathhelpforum