Enter your details:
Name:
E-mail:
 
Thank you for subscribing.
Subscribe to our newsletter!


Diellza Kelmendi1, Florian Miftari2, Kastriot Shaqiri3, Tringa Dedi2

1Kosovo Olympic Committee, Pristina, Kosovo
2University of Pristina, Faculty of Physical Education and Sport, Pristina, Kosovo
3University of Tetovo, Faculty of Physical Education, Tetovo, North Macedonia

Kinematic Analysis of Basketball Free Throw Trajectory

Sport Mont 2025, 23(2), Ahead of Print | DOI: 10.26773/smj.250616

Abstract

Free throw shooting is a fundamental skill in basketball that requires a combination of technique, consistency, mental focus, and the ability to perform under pressure. The purpose of this study was to analyze the kinematic parameters of the ball trajectory during a successful free throw. The study involved 20 players from the Kosovo Basketball League during the 2020 season. Ten kinematic variables were selected for analysis. Three Canon cameras (Canon Inc., Tokyo, Japan), recording at 60 frames per second, were used to capture the free throw motion. The recorded videos were analyzed using the Ariel Performance Analysis System (APAS) to extract kinematic data. Significant correlations were found between kinematic variables in the ball trajectory during a successful free throw between: Initial distance between the ball and the center of gravity and height of release (r=0.68), Final distance between the ball and the center of gravity and height of release (r=0.61), Height of release and vertical displacement of the ball’s trajectory (r=-0.72), Release angle and entry angle of the ball (r=0.65). The results of this research enrich the scientific knowledge of the kinematic analysis of the ball trajectory in basketball free throws, contributing to the development of more accurate methodologies for evaluating and improving performance in the sport of basketball. These findings contribute to a deeper understanding of the kinematic principles underlying successful free throw shooting and provide valuable information for coaches and athletes seeking to enhance performance.

Keywords

basketball, kinematic, ball trajectory, free throw shoot, Pearson’s correlation



View full article
(PDF – 260KB)

References

Alexander, M. (2005). Mechanics of free throw. Biomechanics Laboratory, University of Manitoba & Canadian sport centre Manitoba.

Ammar, A., Chtourou, H., Abdelkarim, O., Parish, A., Hoekelmann, A., & Souissi, N. (2016). Kinematic analysis of free throw shooting in basketball during the learning process. Sport Sciences for Health, 12(3), 247–253. .

Baljinder, S., Nishan, S., & Perminder, J. (2009). Relationship of kinematic variables with the performance of basketball players in lay-up shot. Journal of Physical Education and Sport, 24(3), e–ISSN: 2066-2483.

Blazevich, A. (2010). Sports biomechanics the basics: Optimizing human performance. London: A&C Black Publishers Ltd.

Brancazio, P. J. (1981). Physics of basketball. American Journal of Physics, 49, 356–365. .

Button, C., Macleod, M., Sanders, R., & Coleman, S. (2003). Examining movement variability in the basketball free-throw action at different skill levels. Research Quarterly for Exercise and Sport, 74, 257–269. .

Changjan, A., & Mueanploy, W. (2015). Projectile motion in real-life situation: Kinematics of basketball shooting. Journal of Physics Conference Series, 622(1), 012008. .

Chi-Yang, T., Wei-Hua, H., Yun-Kung, L., & Chin-Lin, H. (2006). The kinematic analysis of basketball three-point shoot after high-intensity program. 24th International Symposium on Biomechanics in Sports, Salzburg, Austria.extremities in vertical jumping. Journal of Biomechanics, 39(13), 2503‐2511.

Cohen J. (1988). Statistical power analysis for the behavioral sciences. 2nd ed. Hillsdale, NJ: Lawrence Erlbaum Associates.

Hall, S. J. (1999). Basic biomechanics (3rd ed.). McGraw-Hill.

Hara M, Shibayama A, Takeshita D, Fukashiro S.(2006). The effect of arm swing on lower extremities in vertical jumping. Journal of Biomechanics, 39(13), 2503‐2511.

Hudson, J. L. (1985). Prediction of basketball skill using biomechanical variables. Research Quarterly for Exercise and Sport, 56, 115-121.

Ibanez, S. J., Sampaio, J., Saenz-Lopez, P., Gimenez, J., & Janeira, M. A. (2003). Game statistics discriminating the final outcome of junior world basketball championship matches (Portugal 1999). Journal of Human Movement Studies, 74, 1–19.

, R., , R, , S, , T. (2012). Kinematic Adjustments in the Basketball Free Throw Performed with a Reduced Hoop Diameter Rim. , 7(2):371-382. https://doi.org/

Kelmendi, D., Salihu, H., Shaqiri, K., & Arifi, F. (2021). Kinematic analysis of the ball release phase for three-point shoot in basketball. Sport Science, 15(1), 57-61.

Knudson, D. (1993). Biomechanics of the basketball jump shot—six key teaching points. Journal of Physical Education, Recreation, and Dance, 64, 67–73. .

Lenik, P., Krzeszowski, T., Przednowek, K., & Lenik, J. (2015). The analysis of basketball free throw trajectory using PSO algorithm. Scientific Review of Physical Culture, 5(1), 37–45.

Malone, L. A. (1999). Relationship between performance characteristics and player classification in wheelchair basketball (Unpublished Ph.D. Thesis). University of Alberta. Retrieved from Online National Library of Canada.

Radenković, M., Bubanj, S., Đerić, D., Stanković, R., Stojanović, M., & Stojić, M. (2018). The influence of ten-week training on the biomechanical parameters of made jump shots in young basketball players. Physical Education and Sport, 16(1), 127-145. .

Miller, S. A., & Bartlett, R. M. (1993). The effects of increased shooting distance in the basketball jump shot. Journal of Sports Sciences, 11, 285–293. .

Miller, S. A., & Bartlett, R. M. (1996). The relationship between basketball shooting kinematics, distance and playing position. Journal of Sports Sciences, 14, 243–253. .

Okazaki, V. H. A., & Rodacki, A. L. F. (2012). Increased distance of shooting on basketball jump shot. Journal of Sports Science and Medicine, 11, 231-237. .

Okazaki, A. H. V., Rodacki, F. L. A., & Satern, N. M. (2015). A review on the basketball jump shot. Sport Biomechanics, 14(2), 190-205. .

Perse, M., Kristan, M., Kovacic, S., Vuckovic, G., & Pers, J. (2009). A trajectory-based analysis of coordinated team activity in a basketball game. Computer Vision and Image Understanding, 113(5), 612–621.

Sadeghi, H., Shariyatzadeh, J., & Kakhki, M. (2007). Joint angular kinematics of elite male basketball players in the implementation of successful and unsuccessful jump shot. Journal of Physical Education and Sport Science Research, 5(16), 187-172.

Satern, M. N. (1988). Basketball: Shooting the jump shot. Strategies: A Journal for Physical and Sport Educators, 1, 9–11.

Satti, S. (2004). The perfect basketball shot. International Journal of Nonlinear Mechanics, 6, 22-9.

Smith, S. L. (2003). Application of high-speed videography in sports analysis. Smithsonian/NASA ADS Physics Abstract Service, Proc. Spice 1757, 1108-118.

Southard, D., & Miracle, A. (1993). Rhythmicity, ritual, and motor performance: A study of free throw shooting in basketball. Research Quarterly for Exercise and Sport, 64, 284–290.

Tang, W. T., & Shung, H. M. (2005). Relationship between isokinetic strength and shooting accuracy at different shooting ranges in Taiwanese elite high school basketball players. Isokinetics and Exercise Science, 13, 169-174.

Wells, K. F., & Luttgens, K. L. (1993). Kinesiology - Scientific basis of human motion. London: Taylor & Francis.

Wilson, M. R., Vine, S. J., & Wood, G. (2009). The influence of anxiety on visual attentional control in basketball free throw shooting. Journal of Sport & Exercise Psychology, 31, 152–168.

Yogi, S., Narender, E. S., & Poonam, S. (2006). Kinematic analysis of free throw shooting skill in basketball. International Research Journal of Management Sociology & Humanity (IRJMSH), 7(5).