Jordan Tyler
Pisgah High School
Summer Ventures in Math and Science 2010
Mentors: Dr. Rahman Tashakkori, Mr. Sina Tashakkori, Mr. Dale henries
Appalachian State University
Introduction
 Elbows
 Shoulders
 How will they affect the shot
Background
 James Naismith 1891
 Fundamentals game
1. Defense
2. Passing
3. Dribbling
4. Shooting
 Guarded v. unguarded

Free throw
Methods
 Film
 Windows movie maker
 Image J
 Excel
Normal (70-90)
Acute (< 70)
Obtuse (> 90)
Right (90)
Straight close to (180)
Results Elbow
 70-90
 Below
 Above
Video demo
No shoulder rotation
Half shoulder rotation
Full shoulder rotation
Results Shoulder
 Heel
 Within heel
 Outside of heel
 Shoulder affects elbow
Video demo
Overall results
Physics!
 Formula
[1]
conclusion
 Inside heel
 70-90 degree angle
What I would like to do
 Do more studies
 More trials to get a better estimate on how the elbow
and shoulder can affect the shot.
References
 [1]. Joerg M. Gablonsky, Andrew S. I. D. Lang,
“Modeling Basketball Free Throws” Society for
Industrial and Applied Mathematics, Vol. 47, No 4, pp
775-798, 2005.
Acknowledgements
 Dr. Rahman Tashakkori
 Mr. Sina Tashakkori
 Mr. Dale Henries
 Mr. Joerg M. Gablonsky
 Mr. Andrew S. I. D. Lang
 Nicole Serem
 Ms. Lori Tyler