Unsure what kind of problem this is

  • Thread starter Thread starter asdfsystema
  • Start date Start date
Click For Summary
SUMMARY

The discussion revolves around a mathematical problem involving three markers placed on a graph paper, initially at coordinates (0,0), (1,0), and (0,1). After a series of movements, two markers end up at (63,-2) and (-108,16). The key to solving the problem lies in understanding the conservation of certain properties during the markers' movements. Specifically, participants suggest that the conservation of the centroid or average position of the markers is crucial for determining the location of the third marker.

PREREQUISITES
  • Understanding of coordinate geometry
  • Familiarity with the concept of conservation in mathematical problems
  • Knowledge of the distance formula
  • Basic graphing skills
NEXT STEPS
  • Research the concept of centroids in coordinate geometry
  • Study conservation laws in mathematical contexts
  • Learn how to apply the distance formula in coordinate problems
  • Explore techniques for solving problems involving multiple moving points
USEFUL FOR

Students studying geometry, educators teaching mathematical problem-solving, and anyone interested in understanding conservation principles in coordinate systems.

asdfsystema
Messages
87
Reaction score
0

Homework Statement


Sydney places three markers at the points (0,0), (1,0) and (0,1) on a sheet of graph paper. She then repeatedly "jumps two of the markers over each other," meaning that the old and new positions are located at four evenly spaced points along a line, as shown. After a while two of the markers are located at (63,-2) and (-108,16). Where is the third?


Homework Equations


I'm not sure what equations I'm supposed to use



The Attempt at a Solution


I graphed it on my graph paper, I'm guessing it has to do something with the distance formula ?

Any tips to begin ?
 
Physics news on Phys.org
asdfsystema said:
Sydney places three markers at the points (0,0), (1,0) and (0,1) on a sheet of graph paper. She then repeatedly "jumps two of the markers over each other," meaning that the old and new positions are located at four evenly spaced points along a line, as shown. After a while two of the markers are located at (63,-2) and (-108,16). Where is the third?

Hi asdfsystema! :smile:

Hint: this is a conservation problem …

when two of the markers move, what is conserved? :wink:
 

Similar threads

Ring Direct Products .... Bland Problem 3(a), Problem Set 2.1
  • · Replies 5 ·
Replies
5
Views
1K
How to prove b^2 > 24c for a cubic with 1 max/1 min
  • · Replies 8 ·
Replies
8
Views
2K
Vectors & Angles Problem Analysis
  • · Replies 2 ·
Replies
2
Views
2K
Optimizing Isosceles Triangle Problem: Find Min. Sum of Distances
  • · Replies 7 ·
Replies
7
Views
2K
Combining Functions: Explaining Multiplication of F(X) & H(X)
  • · Replies 1 ·
Replies
1
Views
2K
Line Integral Problems: Solving for Work and Potential Functions
  • · Replies 12 ·
Replies
12
Views
3K
Solve Calc 1 Story Problem: Marathon Runner & Park Trail
  • · Replies 3 ·
Replies
3
Views
2K
Linear Algebra - Showing a Matrix is not Diagonalizable
  • · Replies 2 ·
Replies
2
Views
4K
Electrostatics: graphing/field vectors
  • · Replies 8 ·
Replies
8
Views
1K
Find Dimensions & Location of Box for Tilted Ellipse x^2 -xy +y^2 =3
  • · Replies 15 ·
Replies
15
Views
8K