Last modified by Akiyoshi Yamakawa on 2026/02/26 20:36
From version 10.1
edited by Akiyoshi Yamakawa
on 2026/02/21 20:09
To version 11.1
edited by Akiyoshi Yamakawa
on 2026/02/21 22:15
Change comment: There is no comment for this version

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8 8  反発係数e=1/2より、衝突直後の鉛直方向速さｕ=1/2V,,y,,であり**
9 9  \\(% style="font-size: 20px; font-family: Georgia, serif" %)**//(//**(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)**//1/2//**(% style="font-size: 20px; font-family: Georgia, serif" %)**//)g//**(% style="font-family: Georgia, serif; font-size: 22px" %)**//t//**(% style="font-size: 20px; font-family: Georgia, serif" %)**//,,0,,^^2^^=8h//**(% style="font-size:20px;" %)**　より　**(% style="font-family: Georgia, serif; font-size: 22px" %)**//t//**(% style="font-family: Georgia, serif; font-size: 20px" %)**//,,0,, = 4√(h/g)//**(%%)
10 10  (% style="font-size:18px;" %)** **(%%)
11 -(% style="font-family: Georgia, serif; font-size: 22px" %)**//vt//**(% style="font-family: Georgia, serif; font-size: 20px" %)**// = L//**(% style="font-size:20px;" %)** より、**(% style="font-family: Georgia, serif; font-size: 22px" %)**//t//**(% style="font-family: Georgia, serif; font-size: 20px" %)**// //= //L/v//**(%%)**
12 -(% style="font-size:18px;" %) (%%)
11 +(% style="font-family: Georgia, serif; font-size: 22px" %)**//vt//**(% style="font-family: Georgia, serif; font-size: 20px" %)**// = L//**(% style="font-size:20px;" %)** より、**(% style="font-family: Georgia, serif; font-size: 22px" %)**//t//**(% style="font-family: Georgia, serif; font-size: 20px" %)**// //= //L/v//**(%%)
12 +(% style="font-size:18px;" %)** **(%%)**
13 13  (% style="font-family: Georgia, serif; font-size: 20px" %)//(//(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)//1/2//(% style="font-family: Georgia, serif; font-size: 20px" %)//)m//(% style="font-family: Georgia, serif; font-size: 22px" %)//v//(% style="font-size: 20px; font-family: Georgia, serif" %)//,,y,,^^2^^=mh (8h)//(% style="font-size:20px;" %)// //より、(% style="font-size: 20px; font-family: Georgia, serif" %)//u=(//(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)//1/2//(% style="font-size: 20px; font-family: Georgia, serif" %)//)//(% style="font-family: Georgia, serif; font-size: 22px" %)//v//(% style="font-family: Georgia, serif; font-size: 20px" %)//,,y,,=//(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)//2//(% style="font-family: Georgia, serif; font-size: 20px" %)//√//(% style="font-size: 20px; font-family: Georgia, serif" %)//(gh)//(%%)**
14 14  
15 15  * **時刻ｔでの高さｙが障害物の高さｈよりも上であればよいので、
16 16  \\(% style="font-family: Georgia, serif; font-size: 22px" %)//h < y=u (t - t,,0,,) - (//(% style="font-family: Arial, Helvetica, sans-serif; font-size: 22px" %)//1/2//(% style="font-family: Georgia, serif; font-size: 22px" %)//)g(t - t,,0,,)^^2^^//(%%)**
17 -\\**これに、上記のu、t、t0を代入すると、**
17 +\\**これに、上記のu、t、t,,0,,を代入すると、**
18 18  \\(% style="font-size:22px;" %)**h<2**(% style="font-size: 20px; font-family: Georgia, serif" %)**//√(gh)(L/v - //**(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)**//4//**(% style="font-size: 20px; font-family: Georgia, serif" %)**//√(hg)) - (//**(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)**//1/2//**(% style="font-size: 20px; font-family: Georgia, serif" %)**//)g(L/v-//**(% style="font-family: Arial, Helvetica, sans-serif; font-size: 20px" %)**//4//**(% style="font-size: 20px; font-family: Georgia, serif" %)**//√(hg))^^2^^//**(%%)
19 19  \\(% style="font-size:22px;" %)**//h<2//**(% style="font-size: 22px; font-family: Georgia, serif" %)**//(L/v)√(gh) - 8h - //**(% style="font-size:22px;" %)**//(1/2//**(% style="font-size: 20px; font-family: Georgia, serif; font-size: 22px" %)**//)g(L^^2^^/v^^2^^) - 8h + 4L/v√(gh)//**(%%)
20 20  (% style="font-size: 20px; font-family: Georgia, serif" %)**// //**(%%)