击得最用力的本垒打？
The hardest-hit home run?
AI总结：
本文以 Mickey Mantle 1963 年的本垒打为题，通过常微分方程数值求解建模棒球轨迹，结合风阻和 Magnus 效应，分析其与现代球员的比较及不确定性。
摘要：
我们提出了一个问题，可作为高年级本科计算物理课程的作业或课堂活动。该问题涉及 Mickey Mantle 于 1963 年 5 月 22 日击出的本垒打，他称之为“我击过最用力的球”。这记本垒打是否真能载入史册，还是已被现代球员超越？对棒球轨迹建模需考虑风阻和 Magnus 效应，是常微分方程数值求解的有趣应用。最终答案是，Mantle 与当今最强击球手相比毫不逊色，但要得出此结论，我们必须反思结果的合理性与不确定性来源。
英文摘要：
We present a problem to be assigned or done as an in-class activity in an upper-division undergraduate course on computational physics. The problem involves a home run hit by Mickey Mantle on May 22, 1963, which he famously called ``the hardest ball I ever hit''. Is this home run truly one for the record books, or has it been eclipsed by players in the modern era? Modeling the trajectory of a baseball involves consideration of both wind resistance and the Magnus effect, and is an interesting application of numerical solution of ordinary differential equations. Ultimately, the answer is that Mantle would compare favorably to the most powerful batters currently playing, but to arrive at that conclusion we must reflect on the plausibility of results and sources of uncertainty.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
