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!

Simon suffers an injury at a campsite on the bank of a canal

  1. Dec 19, 2014 #1
    1. The problem statement, all variables and given/known data
    Simon suffers an injury at a campsite on the bank of a canal that is 6sqrt(2) km wide. if he is able to paddle his kayak at 5km/h and pedal a bicycle at 15km/h along the opposite bank, where should be land on the opposite bank to reach the hospital in minimum time?

    2. Relevant equations
    assuming Pythagorean theorem , etc.
    when you find the equation, then find the derivative and make it = 0 to find max/min
    answer

    3. The attempt at a solution
    I get the hypotenuse to c=6sqrt(2)+x but don't know where to go from here. Help would be appreciated. Diagram included and is an exact copy of the diagram that was provided with the question.
     

    Attached Files:

  2. jcsd
  3. Dec 19, 2014 #2

    Mark44

    Staff: Mentor

    What makes you think that is the hypotenuse? What you have is just the sum of the width of the canal and the distance down the other side. In your relevant equations, you list the theorem of Pythagoras. Do you know how to use it to find the hypotenuse of a right triangle?
     
  4. Dec 19, 2014 #3
    Simon paddles the hypoteneuse at 5km/h, taking time ##t_p##, then cycles the remaining distance at 15km/h, taking time ##t_c##. Total time ##t = t_p+t_c##, which will be a function of x.
     
    Last edited: Dec 19, 2014
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Simon suffers an injury at a campsite on the bank of a canal
  1. River bank (Replies: 3)

  2. Defining Bank of Helix (Replies: 5)

  3. Integrals and Banking (Replies: 1)

Loading...