用简单解析公式研究空中抛体运动
Study of the projectile motion in the air using simple analytical formulas
摘要：
研究了一个经典的抛体运动问题。采用二次阻力定律考虑空气阻力。抛体运动用相当简单的公式进行了解析描述。它们使计算基本运动特性和轨迹成为可能，就像在抛物线运动的情况下一样容易。没有必要用数字来研究这个问题。所提出的公式具有普适性，即适用于任何初始条件。此外，它们在参数的大范围变化上具有可接受的精度。以棒球、网球和羽毛球的运动为例进行了仿真。
英文摘要：
A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force is taken into account with the use of the quadratic resistance law. The projectile motion is described analytically with fairly simple formulas. They make it possible to calculate basic motion characteristics and trajectory as easily as in the case of a parabolic motion. There is no need to study the problem numerically. The proposed formulas are universal, that is, they can be used for any initial conditions of throwing. In addition, they have acceptable accuracy over a wide range change of parameters. The motion of a baseball, a tennis ball and shuttlecock of badminton are presented as examples.
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