The trajectories of soccer ball penalty kicks that strike one of the goal-posts while rolling along the surface are simulated and analyzed using conservation of linear and angular momenta. The reflected trajectories upon collisions with the goalpost are calculated and used to determine whether double or triple bounces take place. The analysis is iterated for a range of initial launch speeds, angular velocities, and normal and tangential coefficients of restitution of the goalpost-ball collisions. It is observed that double bounces can take place for almost any combination of the above parameters if the soccer ball strikes the appropriate narrow sectors of the first goalpost. The corresponding parameter ranges and impact areas are considerably more restricted for generating triple bounces. The angular velocity and coefficients of restitution are found to significantly influence the occurrence of multiple bounces.
Mubin, Shafat A.
"DOUBLE AND TRIPLE BOUNCING SPINNING SOCCER BALL,"
Georgia Journal of Science, Vol. 79, No. 2, Article 4.
Available at: https://digitalcommons.gaacademy.org/gjs/vol79/iss2/4