Boat Landing Problem Problem Details  LFS 2007, Created with GeoGebra 
Problem setting: A man with a boat at point S at sea wants to get to point Q inland. Point S is distance d1 from the closest point P on the shore, point Q is distance d2 from the closest point T on the shore.The points P and T are at a distance of d from each other. Question: If the man rows with a speed of v_{r} and walks with a speed of v_{w} , at what point R should he beach the boat in order to get from point S to point Q in the least possible time? To use: Click and drag any of the slider points. Watch the time function t, the derivative function t_{der} and the point R on the shore change. Note: Roots are defined as: R  using GeoGebra 'intersection', RN  Newton's method on the derivative, RsRF  regula falsi and RsN  Newton's method on the equivalent (simplified) 4th order polynomial.
