<![CDATA[In basketball, basic skills such as Passing, Dribbling, Rebound, and Shooting are crucial. Shooting includes various techniques like one hand set shoot, jump shot, lay up, hook shot, runner, three-point shot, and free throw. A free throw is an unguarded shot that awards one point if successful. One of the factors that affects the success of executing a free throw is understanding the physics principles involved, such as parabolic motion, Magnus effect, gravitational force, and friction when the ball is in the air. During a free throw, the ball moves in three dimensions (3D). This applied research utilized secondary data and the numerical method of Runge-Kutta to determine the optimal trajectory of the ball during a free throw. The results indicate that an initial velocity of 10 m/s with a spin frequency of 3 rot/s and a shooting angle of 30°, as well as a shooting angle of 48° with a spin frequency of 3 rot/s and an initial velocity of 8 m/s, provide the best trajectory for scoring points.]]>
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