Changes for page 2025-Ryudai-Butsuri-Q2A(3)
Last modified by Akiyoshi Yamakawa on 2026/02/21 18:40
From version 6.1
edited by Akiyoshi Yamakawa
on 2026/02/19 19:14
on 2026/02/19 19:14
To version 7.1
edited by Akiyoshi Yamakawa
on 2026/02/21 18:40
on 2026/02/21 18:40
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... ... @@ -12,7 +12,7 @@ 12 12 13 13 * **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、** 14 14 ** [[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<u(t-t_0)-\frac{1}{2}g(t-t_0)^2]] **これに、上記のu、t、t,,0,,を代入すると、** 15 -\\[[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\sqrt{gh}(\frac{L}{v}-4\sqrt{hg})-\frac{1}{2}g(\frac{L}{v}-4\sqrt{hg})^2||height="30" width="339"]] 15 +\\[[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\sqrt{gh}(\frac{L}{v}-4\sqrt{hg})-\frac{1}{2}g(\frac{L}{v}-4\sqrt{hg})^2||height="30" width="339"]] [[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\sqrt{gh}||alt="http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\sqrt{gh}(\frac{L}{v}-4\sqrt{hg})-\frac{1}{2}g(\frac{L}{v}-4\sqrt{hg})^2" height="20" width="76"]][[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?(\frac{L}{v}-4\sqrt{hg})-\frac{1}{2}g||alt="http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\sqrt{gh}(\frac{L}{v}-4\sqrt{hg})-\frac{1}{2}g(\frac{L}{v}-4\sqrt{hg})^2" height="30" width="141"]][[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?(\frac{L}{v}-4\sqrt{hg})^2||alt="http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\sqrt{gh}(\frac{L}{v}-4\sqrt{hg})-\frac{1}{2}g(\frac{L}{v}-4\sqrt{hg})^2" height="30" width="137"]] 16 16 \\[[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?h<2\frac{L}{v}\sqrt{gh}-8h-\frac{1}{2}g\frac{L^2}{v^2}-8h+4\frac{L}{v}\sqrt{gh}||height="40" width="345"]] 17 17 \\[[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?0<6\sqrt{gh}\frac{L}{v}-17h-\frac{1}{2}g\frac{L^2}{v^2}||height="43" width="250"]] **これを、vの二次不等式に直すと、** 18 18 \\[[image:http://www.dietpanda.com/cgi-bin/mimetex.cgi?0>34v^2-12\sqrt{\frac{g}{h}}Lv+\frac{g}{h}L^2||alt="http://www.dietpanda.com/cgi-bin/mimetex.cgi?0>34v^2-12\sqrt{gh}v+\frac{g}{h}" height="40" width="200"]] **さらに、=0の二次方程式としてvを求めると、**