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# Boat Landing Problem

last edited by 11 years ago
 Home > Do Mathematics ->Algebra 1 -> 4. Polynomials -> Boat Landing Problem Boat Landing Problem - Classroom/Home Simulator and Build your own Simulator by LFS 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 vr and walks with a speed of vw at what point R should he beach the boat in order to get from point S to point Q in the least possible time?   An interesting problem made accessible for 8th-10th graders using GeoGebra. Try the simulator below or view animated demo.

GeoGebra InterActivity Directions for InterActivity READ ME FIRST!

 1. To use: Click and drag input parameters to desired values. 2. Then click the slider point for R (don't drag; you need to see the point glow ). Then you can use arrow keys to find minimum Time.

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 Good Questions InterActive Webpage

Metadata (includes links for downloads)

 Global Quadratic Functions Brief InterActivity-Simulator for the Folding Box Maximum Value Problem Grade 8th and up (Graphic Solution); Calculus (Algebraic Solution) Strand Graphic Solution: Algebra 1   Algebraic Solution with Derivatives: Calculus Standard Algebra 1 4.1 or AP Calculus 11 Keywords function, equation, boat landing, extrema, extreme values, calculus, dynamic, freeware, applet, offline, online Worksheet Worksheet with Problems and Questions Comments This is an interesting problem - it requires only Pythagoras' theorem and distance-rate-time formula to set up and run a simulation. It is easy to understand different aspects of it and to have many discussions. Good for 8th-10th grade. Then later in AP Calculus, one can move to the actual "mathematical solution", which is an extreme value problem also with wide ranging discussions! Online Online Activity Download Downloads: School LAN Version Zip  Completely Offline Version Author LFS - contact Type Freeware - Available for Offline and Online Use - Translatable (html) Use Requires sunJava player

 More Resources for this Problem  GGB file for lesson: ggb starter file for building simulator Script for Lesson 10 (pdf file)  - written directions to the mathcast Complete Demo Mathcast Lesson with Math and GeoGebra More about this problem - Good Questions, Higher Level Resources, Other Simulators, ...

 Related Topics: 4.1 Polynomials -> Box Folding Problem Home > Do Mathematics ->Algebra 1 -> 4. Polynomials -> Boat Landing Problem

box, folding, interactivity, volume, maximum, geogebra, application, geometry, program

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