We show that the gravitational acceleration g near Earth’s surface can be easily determined with high accuracy by conducting the usual free fall experiment in high school or college physics laboratories. Unlike the conventional method of data analysis that uses formulas without taking air resistance into account, we consider the effect of air drag and solve the position function for the free falling object. The position function is then used to fit the experimental data and thus, determine the value of g. The average value of the determined g is found to differ from the gravitational field measured by gravimeters near the experimental site by 0.2%.

中文翻译：

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在存在空气阻力的情况下通过自由落体法确定地球的重力加速度

我们表明，通过在高中或大学物理实验室中进行常规的自由落体实验，可以轻松，高精度地确定地球表面附近的重力加速度g。与使用公式而不考虑空气阻力的常规数据分析方法不同，我们考虑空气阻力的影响并求解自由落体的位置函数。然后使用位置函数拟合实验数据，从而确定g的值。发现所确定的g的平均值与在实验部位附近由重力计测量的重力场相差0.2％。