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YouTube

Moving Submarine Number Line Puzzle - Mathematical Strategy and Solution

Wrath of Math via YouTube

Overview

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Explore a challenging mathematical puzzle in this 12-minute video that tackles the problem of locating and destroying a moving submarine positioned on a number line. Learn how to develop a strategic approach to find a submarine moving at an unknown constant integer velocity, using only torpedoes that can be fired at integer positions each second. Follow along through a structured solution process that begins with visualization, progresses through mathematical reasoning, and concludes with a comprehensive analysis of position functions. Master problem-solving techniques that combine number theory, motion analysis, and strategic thinking to determine if it's possible to guarantee success in this intriguing mathematical challenge.

Syllabus

0:00 Intro
1:32 Begin with a Picture
5:11 The Solution
9:10 Listing Position Functions
11:17 Conclusion

Taught by

Wrath of Math

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