Only initial kinetic and potential energies determine the launch angle of a projectile motion from a height with the longest range

詳細情報

日時 2026年01月31日 23:00 - 23:30
テーマ Lightning Talk (1st)
発表者 Chamonix_MBさん
集会名 VRChat International Physics Community
発表資料

Abstract: Consider throwing a ball from a top of a cliff at an launch angle of θ. When the horizontal distance of the travel takes maximum, θ satisfies tan θ = √{ v₀² / ( v₀² + 2gh ) } = √{ K / ( K+P ) } with initial kinetic energy K = (1/2) mv₀² and initial potential energy P = mgh, where m is the mass of the ball, v₀ is the initial velocity, h is the cliff height, and g is the gravity acceleration. Interestingly, we can write θ in terms of K and P alone, and the logic can be explained without calculus. This talk is based on the following document written in Japanese: Kudo, T., Hara, N. & Shimoda, M. (2013). doi: 10.50835/kumako.5.0_116

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VRChat International Physics Community

開催日: 2026年01月31日

開催時間: 23:00 - 23:30

開催曜日: 土曜日

開催周期: 隔週

Let's talk about physics! We hold LTs (Lightning Talks) hosted by group members about once every two weeks. Feel free to join us, and enjoy the meetings! There's absolutely no need to worry about n…

Let's talk about physics! We hold LTs (Lightning Talks) hosted by group members about once every two weeks. Feel free to join us, and enjoy the meetings! There's absolutely no need to worry about not knowing anyone of the existing members. We wish you a fruitful exchange. Field: Physics, Chemistry, Geophysics & Biophysics Expected Level: University (Bachelor) student level __LT Event Info__ Time: For 30 min from 14:00 UTC (6:00 PST, 9:00 EST, 15:00 CET, 23:00 JST) on Saturday Length: 15~25 min for talk, 5~15 min for Q&A. Language: English Frequency: Once every two weeks __Short description in Japanese__ さめさん主催のVRChat物理学集会を,使用言語を英語のみとし,大学学部(理学・工学)程度を前提レベルとした集会です.LTで遠慮なく数式を出せます.もちろんメンバーの中には日本語が分からない方も多く含まれます. (英語の発表を練習したい物理学系の方歓迎です!)