- #31
radiogaga35
- 34
- 0
Thanks for the reply! just what i was looking for
Math Problem: Solving a Triangular Chase with Constant Velocity
- Context: Undergrad
- Thread starter netstrider
- Start date
Click For Summary
Discussion Overview
The discussion revolves around a mathematical problem involving three individuals (Bill, Jack, and Mike) chasing each other in a triangular formation with constant velocities. Participants explore the nature of their paths, the distances traveled, and the mathematical modeling of their movements. The scope includes mathematical reasoning and technical explanations related to the geometry of their chase.
Discussion Character
- Mathematical reasoning
- Technical explanation
- Debate/contested
Main Points Raised
- Some participants argue that the velocities of the individuals cannot remain unchanged as they would move in straight lines instead of curving towards each other.
- One participant proposes that the individuals travel along circular arcs, suggesting that the distance traveled can be calculated using geometric properties of the triangle.
- Another participant presents a detailed mathematical formulation involving position vectors and differential equations to describe the motion of each individual.
- Some participants express confusion about the relationships between the variables and the derivations presented, questioning the clarity and correctness of certain steps in the mathematical reasoning.
- There is a discussion about the relevance of speed in determining the form of the path, with some asserting that it does not affect the shape of the curve, which is identified as a logarithmic spiral.
- Participants also discuss the distinction between the midpoint and the center of the triangle, indicating potential misunderstandings in terminology.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the correct approach to solving the problem. There are multiple competing views regarding the nature of the paths taken by the individuals and the relevance of speed in the context of the problem.
Contextual Notes
Some participants note limitations in the clarity of the mathematical derivations and the assumptions made regarding the relationships between the variables involved in the problem.
Similar threads
Undergrad
Solving simultaneous vector equations
- · Replies 11 ·
Undergrad
Longer math and physics problems
- · Replies 7 ·
- · Replies 3 ·
- · Replies 35 ·
- · Replies 4 ·
- · Replies 6 ·
- · Replies 7 ·
Undergrad
The answer is 15! What is the problem?
- · Replies 1 ·
- · Replies 10 ·
- · Replies 14 ·