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Optimum Projection Angle for Attaining Maximum Distance in a Soccer Punt Kick

机译:在足球平底船踢中获得最大距离的最佳投影角度

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摘要

To produce the greatest horizontal distance in a punt kick the ball must be projected at an appropriate angle. Here, we investigated the optimum projection angle that maximises the distance attained in a punt kick by a soccer goalkeeper. Two male players performed many maximum-effort kicks using projection angles of between 10° and 90°. The kicks were recorded by a video camera at 100 Hz and a 2 D biomechanical analysis was conducted to obtain measures of the projection velocity, projection angle, projection height, ball spin rate, and foot velocity at impact. The player’s optimum projection angle was calculated by substituting mathematical equations for the relationships between the projection variables into the equations for the aerodynamic flight of a soccer ball. The calculated optimum projection angles were in agreement with the player’s preferred projection angles (40° and 44°). In projectile sports even a small dependence of projection velocity on projection angle is sufficient to produce a substantial shift in the optimum projection angle away from 45°. In the punt kicks studied here, the optimum projection angle was close to 45° because the projection velocity of the ball remained almost constant across all projection angles. This result is in contrast to throwing and jumping for maximum distance, where the projection velocity the athlete is able to achieve decreases substantially with increasing projection angle and so the optimum projection angle is well below 45°.Key points class="unordered" style="list-style-type:disc">The optimum projection angle that maximizes the distance of a punt kick by a soccer goalkeeper is about 45°.The optimum projection angle is close to 45° because the projection velocity of the ball is almost the same at all projection angles.This result is in contrast to throwing and jumping for maximum distance, where the optimum projection angle is well below 45° because the projection velocity the athlete is able to achieve decreases substantially with increasing projection angle.
机译:为了在平底踢中产生最大的水平距离,球必须以适当的角度投射。在这里,我们研究了最佳的投射角度,该角度最大化了足球守门员在平底踢中获得的距离。两名男性球员使用10°至90°的投射角度进行了许多最大的脚踢。用摄像机以100Hz记录脚踢,并进行2D生物力学分析,以获得在撞击时的投射速度,投射角度,投射高度,球旋转速度和脚速度的测量值。通过将投影变量之间的关系的数学方程式代入足球的空气动力学飞行方程式,可以计算出球员的最佳投射角。计算出的最佳投影角度与玩家的首选投影角度(40°和44°)一致。在弹射运动中,即使投射速度对投射角的很小依赖性也足以使最佳投射角产生明显的偏离45°的偏移。在这里研究的平底踢中,最佳的投射角度接近45°,因为球的投射速度在所有投射角度上都几乎保持恒定。该结果与最大距离投掷和跳跃相反,在这种情况下,运动员能够实现的投射速度随着投射角的增加而大大降低,因此最佳投射角远低于45°。要点 class =“ unordered” style =“ list-style-type:disc”> <!-list-behavior = unordered prefix-word = mark-type = disc max-label-size = 0-> 最大化投影角度的最佳投影角度足球守门员踢平底球的距离约为45°。 最佳投影角度接近45°,因为在所有投影角度下,球的投影速度几乎相同。 此结果与最大距离投掷和跳跃相反,后者的最佳投射角远低于45°,因为运动员能够实现的投射速度随着投射角的增加而大大降低。

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