The Hardest Straight-In Pool Shot
Abstract:When playing pool or billiards, a player often has the opportunity to make a "straight-in" shot, that is, one in which the cue ball, the object ball, and the target (e.g., a pocket) are collinear. With the distance from the cue ball to the target assumed fixed, the relative difficulty is here explored of shots taken at varying positions of the object ball between the cue ball and target. What position of the object ball makes the shot the most difficult? This is the question addressed in the article. Proofs of the results, ranging from easy to challenging, are left as exercises and also posted on the CMJ web site.
Document Type: Research Article
Publication date: 2010-01-01
More about this publication?
- The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. CMJ publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years.
- Information for Authors
- Submit a Paper
- Subscribe to this Title
- Membership Information
- Information for Advertisers
- Terms & Conditions
- MAA Journals at ingentaconnect
- MAA Store
- Ingenta Connect is not responsible for the content or availability of external websites