Tran Chau M, Silverberg Larry M
Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, North Carolina 27695-7910, USA.
J Sports Sci. 2008 Sep;26(11):1147-55. doi: 10.1080/02640410802004948.
The purpose of this study was to determine the optimum release conditions for the free throw in men's basketball. The study used hundreds of thousands of three-dimensional simulations of basketball trajectories. Five release variables were studied: release height, release speed, launch angle, side angle, and back spin. The free throw shooter was assumed to shoot at 70% and to release the ball 2.134 m (7 ft) above the ground. We found that the shooter should place up to 3 Hz of back spin on the ball, should aim the ball towards the back of the ring, and should launch the ball at 52 degrees to the horizontal. We also found that it is desirable to release the ball as high above the ground as possible, as long as this does not adversely affect the player's launch consistency.
本研究的目的是确定男子篮球罚球的最佳出手条件。该研究使用了数十万次篮球轨迹的三维模拟。研究了五个出手变量:出手高度、出手速度、发射角度、侧角度和后旋。假设罚球者的命中率为70%,且在离地面2.134米(7英尺)的高度出手。我们发现,罚球者应在球上施加高达3赫兹的后旋,应将球瞄准篮筐后部,并应以与水平方向成52度的角度发射球。我们还发现,只要这不会对球员的出手一致性产生不利影响,尽可能在离地面较高的位置出手是可取的。