{"id":8785,"date":"2022-08-10T15:05:37","date_gmt":"2022-08-10T06:05:37","guid":{"rendered":"https:\/\/hatsudy.com\/jp\/?p=8785"},"modified":"2022-09-02T05:57:10","modified_gmt":"2022-09-01T20:57:10","slug":"horizontal-projection","status":"publish","type":"post","link":"https:\/\/hatsudy.com\/jp\/horizontal-projection.html","title":{"rendered":"\u6c34\u5e73\u6295\u5c04\u30fb\u659c\u65b9\u6295\u5c04\uff1a\u7269\u7406\u3067\u306e\u30d9\u30af\u30c8\u30eb\u3068\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0"},"content":{"rendered":"\n

\u7269\u7406\u3092\u5b66\u3076\u3068\u304d\u3001\u591a\u304f\u306e\u4eba\u304c\u6df7\u4e71\u3059\u308b\u5185\u5bb9\u306b\u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u304c\u3042\u308a\u307e\u3059\u3002\u7269\u7406\u3067\u306f\u6c34\u5e73\u65b9\u5411\u3068\u5782\u76f4\u65b9\u5411\u306b\u5206\u3051\u3066\u52d5\u304d\u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u4e16\u306e\u4e2d\u306e\u73fe\u8c61\u306b\u306f\u3001\u76f4\u611f\u3068\u306f\u53cd\u3059\u308b\u73fe\u8c61\u3082\u3072\u3093\u3071\u3093\u306b\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u306e\u4e00\u3064\u304c\u6c34\u5e73\u6295\u5c04\u3067\u3059\u3002<\/p>\n

\u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u306f\u76f4\u7dda\u904b\u52d5\u3067\u306f\u306a\u304f\u3001\u5e73\u9762\u904b\u52d5\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5e73\u9762\u3067\u52d5\u304f\u7269\u4f53\u306e\u904b\u52d5\u3092\u7406\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

\u306a\u304a\u659c\u65b9\u6295\u5c04\u306e\u5fdc\u7528\u554f\u984c\u3068\u3057\u3066\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\u304c\u3042\u308a\u307e\u3059\u3002\u6c34\u5e73\u6295\u5c04\u3084\u659c\u65b9\u6295\u5c04\u306b\u6bd4\u3079\u3066\u5185\u5bb9\u306f\u96e3\u3057\u304f\u306a\u308b\u3082\u306e\u306e\u3001\u89e3\u304d\u65b9\u3084\u8003\u3048\u65b9\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n

\u305d\u308c\u3067\u306f\u3001\u3069\u306e\u3088\u3046\u306b\u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u3092\u8003\u3048\u308c\u3070\u3044\u3044\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u9ad8\u6821\u7269\u7406\u3067\u5b66\u3076\u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n

\u6c34\u5e73\u6295\u5c04\u3067\u306f\u3001\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u3067\u904b\u52d5\u3092\u5206\u89e3\u3059\u308b<\/h2>\n

\u81ea\u7531\u843d\u4e0b\u3084\u925b\u76f4\u6295\u3052\u4e0b\u3052\u306f\u76f4\u7dda\u4e0a\u3067\u306e\u904b\u52d5\u3067\u3059\u3002\u4e00\u65b9\u3067\u6c34\u5e73\u6295\u5c04\u3067\u306f\u3001\u5e73\u9762\u3067\u306e\u904b\u52d5\u306b\u306a\u308a\u307e\u3059\u3002\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7269\u4f53\u3092\u771f\u6a2a\u306b\u6295\u3052\u308b\u3068\u304d\u306e\u904b\u52d5\u304c\u6c34\u5e73\u6295\u5c04\u3067\u3059\u3002<\/p>\n

\"\"<\/p>\n

\u6c34\u5e73\u6295\u5c04\u304c\u3069\u306e\u3088\u3046\u306a\u52d5\u304d\u3092\u3059\u308b\u306e\u304b\u4e88\u60f3\u3059\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u6c34\u5e73\u6295\u5c04\u3067\u306f\u3001\u7269\u4f53\u306f\u6a2a\u3078\u79fb\u52d5\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u6642\u9593\u7d4c\u904e\u3068\u5171\u306b\u843d\u4e0b\u30b9\u30d4\u30fc\u30c9\u306f\u901f\u304f\u306a\u308a\u307e\u3059\u3002\u6c34\u5e73\u6295\u5c04\u3092\u5b66\u3076\u3068\u304d\u3001\u7269\u4f53\u304c\u5b9f\u969b\u306b\u843d\u4e0b\u3059\u308b\u5834\u9762\u3092\u601d\u3044\u6d6e\u304b\u3079\u307e\u3057\u3087\u3046\u3002<\/p>\n

\u6c34\u5e73\u6295\u5c04\u3067\u306f\u3001\u7269\u4f53\u306f\u66f2\u7dda\u3092\u63cf\u304f\u305f\u3081\u3001\u3053\u306e\u307e\u307e\u3067\u306f\u8a08\u7b97\u304c\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306b\u52d5\u304d\u3092\u5206\u3051\u307e\u3057\u3087\u3046\u3002<\/span>\u7269\u7406\u3067\u306f\u30d9\u30af\u30c8\u30eb\uff08\u6210\u5206\uff09\u3054\u3068\u306b\u5206\u3051\u3066\u8003\u3048\u308b\u30b1\u30fc\u30b9\u304c\u591a\u304f\u3001\u3053\u308c\u306b\u3088\u3063\u3066\u5e73\u9762\u3067\u306e\u7269\u4f53\u306e\u52d5\u304d\u3092\u628a\u63e1\u3067\u304d\u308b\u306e\u3067\u3059\u3002<\/p>\n

\u6c34\u5e73\u65b9\u5411\u306e\u901f\u3055\u306f\u4e00\u5b9a\u3067\u3042\u308a\u3001\u925b\u76f4\u65b9\u5411\u306f\u81ea\u7531\u843d\u4e0b\u3068\u540c\u3058<\/h3>\n

\u5e73\u9762\u3067\u306e\u7269\u4f53\u306e\u52d5\u304d\u3092\u8003\u3048\u308b\u3068\u304d\u3001\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306b\u5206\u3051\u307e\u3057\u3087\u3046\u3002\u56f3\u3067\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

\"\"<\/p>\n

\u305d\u308c\u3067\u306f\u3001\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306b\u50cd\u304f\u529b\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n

\u30fb\u6c34\u5e73\u65b9\u5411\uff1a\u52a0\u308f\u308b\u529b\u306f\u306a\u304f\u3001\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u3068\u306a\u308b<\/strong><\/p>\n

\u7269\u4f53\u3092\u771f\u6a2a\u306b\u6295\u3052\u305f\u5f8c\u3001\u6c34\u5e73\u65b9\u5411\u306b\u52a0\u308f\u308b\u529b\u306f\u4f55\u3082\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u305f\u3081\u3001\u6c34\u5e73\u65b9\u5411\u3067\u306f\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u3068\u306a\u308a\u307e\u3059\u3002<\/span>\u3064\u307e\u308a\u3001\u540c\u3058\u901f\u5ea6\u3067\u6c34\u5e73\u65b9\u5411\u3078\u79fb\u52d5\u3057\u307e\u3059\u3002<\/p>\n

\u30fb\u925b\u76f4\u65b9\u5411\uff1a\u91cd\u529b\u306b\u3088\u308a\u3001\u81ea\u7531\u843d\u4e0b\u3068\u540c\u3058\u306b\u306a\u308b<\/strong><\/p>\n

\u305d\u308c\u306b\u5bfe\u3057\u3066\u3001\u925b\u76f4\u65b9\u5411\u3067\u306f\u91cd\u529b\u306e\u307f\u304c\u52a0\u308f\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u91cd\u529b\u306b\u3088\u308b\u52a0\u901f\u5ea6\\(g\\)\u304c\u4e0b\u5411\u304d\u306b\u50cd\u304f\u306e\u3067\u3059\u3002<\/p>\n

\u6c34\u5e73\u6295\u5c04\u3067\u306f\u3001\u771f\u6a2a\u306b\u7269\u4f53\u3092\u6295\u3052\u307e\u3059\u3002\u3053\u306e\u3068\u304d\u925b\u76f4\u65b9\u5411\u3067\u8003\u3048\u308b\u3068\u3001\u4e0b\u5411\u304d\u306e\u521d\u901f\u5ea6\\(v_0\\)\u306f0\u3067\u3059\u3002\u307e\u305f\u91cd\u529b\u52a0\u901f\u5ea6\u306e\u307f\u304c\u52a0\u308f\u308b\u305f\u3081\u3001\u6c34\u5e73\u6295\u5c04\u3067\u306e\u925b\u76f4\u65b9\u5411\u3068\u3044\u3046\u306e\u306f\u81ea\u7531\u843d\u4e0b\u3068\u540c\u3058\u3067\u3059\u3002<\/span><\/p>\n

\u306a\u305c\u925b\u76f4\u65b9\u5411\u306f\u81ea\u7531\u843d\u4e0b\u3068\u540c\u3058\u3067\u8003\u3048\u308b\u306e\u304b<\/h3>\n

\u6c34\u5e73\u6295\u5c04\u3067\u306f\u925b\u76f4\u65b9\u5411\u3092\u81ea\u7531\u843d\u4e0b\u3068\u3057\u3066\u8003\u3048\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u81ea\u7531\u843d\u4e0b\u3055\u305b\u308b\u5834\u5408\u3068\u6c34\u5e73\u6295\u5c04\u3092\u884c\u3046\u5834\u5408\u3092\u6bd4\u3079\u308b\u3068\u3001\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u6642\u9593\u306f\u540c\u3058\u3067\u3059\u3002<\/p>\n

\u4f8b\u3048\u3070\u7269\u4f53A\u3092\u81ea\u7531\u843d\u4e0b\u3055\u305b\u3001\u7269\u4f53B\u3092\u6c34\u5e73\u6295\u5c04\u3055\u305b\u307e\u3059\u3002\u3053\u306e\u5834\u5408\u3001\u6642\u9593\u7d4c\u904e\u3068\u5171\u306b\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u7269\u4f53\u306e\u52d5\u304d\u304c\u5909\u5316\u3057\u307e\u3059\u3002<\/p>\n

\"\"<\/p>\n

\u305d\u308c\u3067\u306f\u3001\u306a\u305c\u7269\u4f53A\u3068\u7269\u4f53B\u306f\u540c\u6642\u306b\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u306e\u3067\u3057\u3087\u3046\u304b\u3002\u6c34\u5e73\u65b9\u5411\u3092\u52a0\u5473\u3059\u308b\u3068\u3001\u7269\u4f53B\u306e\u307b\u3046\u304c\u79fb\u52d5\u8ddd\u96e2\u306f\u9577\u3044\u305f\u3081\u3001\u7269\u4f53A\u3068\u7269\u4f53B\u304c\u540c\u6642\u306b\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u306e\u306f\u5909\u306b\u601d\u3048\u3066\u3057\u307e\u3044\u307e\u3059\u3002<\/p>\n

\u7269\u4f53B\u306f\u66f2\u7dda\u306b\u3066\u79fb\u52d5\u3057\u3066\u3044\u308b\u3082\u306e\u306e\u3001\u6210\u5206\uff08\u30d9\u30af\u30c8\u30eb\uff09\u3067\u5206\u3051\u308b\u3053\u3068\u3067\u925b\u76f4\u65b9\u5411\u306e\u307f\u3092\u53d6\u308a\u51fa\u305b\u3070\u3001\u76f4\u7dda\u904b\u52d5\u3092\u3057\u3066\u3044\u307e\u3059\u3002\u7269\u4f53B\u306b\u5bfe\u3057\u3066\u925b\u76f4\u65b9\u5411\u306b\u52a0\u308f\u308b\u529b\uff08\u91cd\u529b\uff09\u306f\u3001\u7269\u4f53A\u3078\u4e0b\u5411\u304d\u306b\u52a0\u308f\u308b\u529b\u3068\u540c\u3058\u3067\u3059\u3002\u5f53\u7136\u3001\u91cd\u529b\u306b\u5909\u5316\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p>\n

\u4f8b\u3048\u3070\u3001\u7269\u4f53B\u3068\u540c\u3058\u30b9\u30d4\u30fc\u30c9\u3067\u3042\u306a\u305f\u304c\u6c34\u5e73\u79fb\u52d5\u3059\u308b\u5834\u9762\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002<\/p>\n

\"\"<\/p>\n

\u3053\u306e\u5834\u5408\u3001\u7269\u4f53\u3068\u540c\u3058\u30b9\u30d4\u30fc\u30c9\u3067\u6a2a\u306b\u79fb\u52d5\u3057\u3066\u3044\u308b\u3042\u306a\u305f\u306b\u3068\u3063\u3066\u3001\u7269\u4f53B\u306e\u6c34\u5e73\u65b9\u5411\u3078\u306e\u79fb\u52d5\u306f0\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u3042\u306a\u305f\u3092\u57fa\u6e96\u306b\u3059\u308b\u3068\u7269\u4f53\u306f\u81ea\u7531\u843d\u4e0b\u3057\u3066\u3044\u307e\u3059\u3002\u5f53\u7136\u3001\u4eba\u304c\u5e73\u884c\u79fb\u52d5\u3057\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u306b\u95a2\u4fc2\u306a\u304f\u3001\u925b\u76f4\u65b9\u5411\u306b\u50cd\u304f\u529b\uff08\u91cd\u529b\uff09\u306f\u5e38\u306b\u4e00\u5b9a\u3067\u3042\u308b\u305f\u3081\u3001\u81ea\u7531\u843d\u4e0b\u3068\u6c34\u5e73\u6295\u5c04\u3067\u306f\u540c\u6642\u306b\u5730\u9762\u306b\u5230\u7740\u3057\u307e\u3059\u3002<\/p>\n

\u6c34\u5e73\u6295\u5c04\u306e\u8a08\u7b97\u554f\u984c<\/h3>\n

\u6c34\u5e73\u6295\u5c04\u3092\u7406\u89e3\u3059\u308b\u305f\u3081\u3001\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n

    \n
  • \u9ad8\u3055\\(h\\)\u306e\u30d3\u30eb\u306e\u4e0a\u304b\u3089\u6c34\u5e73\u65b9\u5411\u306b\u901f\u5ea6\\(v’\\)\u3067\u30dc\u30fc\u30eb\u3092\u6295\u3052\u307e\u3057\u305f\u3002\u306a\u304a\u3001\u91cd\u529b\u52a0\u901f\u5ea6\u306f\\(g\\)\u3067\u3059\u3002<\/li>\n<\/ul>\n
      \n
    1. \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u307e\u3067\u306e\u6642\u9593\u306f\u3044\u304f\u3089\u3067\u3059\u304b\u3002<\/li>\n
    2. \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u3068\u304d\u3001\u6c34\u5e73\u65b9\u5411\u3067\u306f\u3069\u308c\u3060\u3051\u79fb\u52d5\u3057\u307e\u3059\u304b\u3002<\/li>\n
    3. \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u76f4\u524d\u306e\u901f\u3055\\(v\\)\u3068\u5730\u9762\u3068\u306e\u89d2\u5ea6\u3092\u03b8\u3068\u3059\u308b\u3068\u304d\u3001tan\u03b8\u306f\u3044\u304f\u3089\u3067\u3059\u304b\u3002<\/li>\n
    4. \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u76f4\u524d\u306e\u901f\u5ea6\\(v\\)\u306f\u3044\u304f\u3089\u3067\u3059\u304b\u3002<\/li>\n<\/ol>\n

      1) \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u307e\u3067\u306e\u6642\u9593\u306f\u3044\u304f\u3089\u3067\u3059\u304b<\/strong><\/p>\n

      \u6c34\u5e73\u6295\u5c04\u3067\u306f\u3001\u925b\u76f4\u65b9\u5411\u306f\u81ea\u7531\u843d\u4e0b\u3068\u540c\u3058\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u81ea\u7531\u843d\u4e0b\u3068\u540c\u69d8\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

      \\(x=v_0t+\\displaystyle\\frac{1}{2}at^2\\)<\/p>\n

      \\(h=\\displaystyle\\frac{1}{2}gt^2\\)<\/p>\n

      \\(t^2=\\displaystyle\\frac{2h}{g}\\)<\/p>\n

      \\(t=\\sqrt{\\displaystyle\\frac{2h}{g}}\\) \\((t>0)\\)<\/p>\n

      \u3053\u3046\u3057\u3066\u3001\\(\\sqrt{\\displaystyle\\frac{2h}{g}}\\)\u79d2\u5f8c\u306b\u5730\u9762\u306b\u30dc\u30fc\u30eb\u304c\u5230\u7740\u3059\u308b\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n

      2) \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u3068\u304d\u3001\u6c34\u5e73\u65b9\u5411\u3067\u306f\u3069\u308c\u3060\u3051\u79fb\u52d5\u3057\u307e\u3059\u304b<\/strong><\/p>\n

      \u6c34\u5e73\u65b9\u5411\u3067\u306f\u3001\u901f\u5ea6\u306f\u5e38\u306b\\(v’\\)\u3067\u3059\u3002\u307e\u305f\\(\\sqrt{\\displaystyle\\frac{2h}{g}}\\)\u79d2\u5f8c\u306b\u5730\u9762\u304c\u30dc\u30fc\u30eb\u306b\u5230\u7740\u3059\u308b\u3053\u3068\u304b\u3089\u3001\u6c34\u5e73\u65b9\u5411\u3067\u306e\u79fb\u52d5\u8ddd\u96e2\u306f\\(v’\\sqrt{\\displaystyle\\frac{2h}{g}}\\)\u3067\u3059\u3002<\/p>\n

      3) \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u76f4\u524d\u306e\u901f\u3055\\(v\\)\u3068\u5730\u9762\u3068\u306e\u89d2\u5ea6\u3092\u03b8\u3068\u3059\u308b\u3068\u304d\u3001tan\u03b8\u306f\u3044\u304f\u3089\u3067\u3059\u304b\u3002<\/strong><\/p>\n

      \"\"<\/p>\n

      \u307e\u305a\u3001\u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u76f4\u524d\u306e\u925b\u76f4\u65b9\u5411\u306e\u901f\u3055\\(v_y\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

      \\(v=v_0+at\\)<\/p>\n

      \\(v_y=0+g\\sqrt{\\displaystyle\\frac{2h}{g}}\\)<\/p>\n

      \\(v_y=\\sqrt{2gh}\\)<\/p>\n

      \u925b\u76f4\u65b9\u5411\u306e\u901f\u3055\u306f\\(v_y=\\sqrt{2gh}\\)\u3067\u3042\u308a\u3001\u6c34\u5e73\u65b9\u5411\u306e\u901f\u3055\u306f\\(v’\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001tan\u03b8\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

      \\(tan\u03b8=\\displaystyle\\frac{\\sqrt{2gh}}{v’}\\)<\/p>\n

      4) \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u76f4\u524d\u306e\u901f\u5ea6\\(v\\)\u306f\u3044\u304f\u3089\u3067\u3059\u304b<\/strong><\/p>\n

      \u30dc\u30fc\u30eb\u306e\u901f\u3055\u306f\u4e09\u5e73\u65b9\u306e\u5b9a\u7406\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u925b\u76f4\u65b9\u5411\u306e\u901f\u3055\u306f\\(v_y=\\sqrt{2gh}\\)\u3067\u3042\u308a\u3001\u6c34\u5e73\u65b9\u5411\u306e\u901f\u3055\u306f\\(v’\\)\u3067\u3059\u3002\u305d\u306e\u305f\u3081\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n

      \\(v^2=v_y^2+v’^2\\)<\/p>\n

      \\(v^2=2gh+v’^2\\)<\/p>\n

      \\(v=\\sqrt{2gh+v’^2}\\) \uff08\\(v>0\\)\uff09<\/p>\n

      \u3053\u3046\u3057\u3066\u3001\u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u76f4\u524d\u306e\u901f\u3055\u306f\\(\\sqrt{2gh+v’^2}\\)\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n

      \u659c\u65b9\u6295\u5c04\u3067\u306f\u925b\u76f4\u65b9\u5411\u3067\u521d\u901f\u5ea6\\(v_0\\)\u304c\u52a0\u308f\u308b<\/h2>\n

      \u6c34\u5e73\u6295\u5c04\u3092\u5b66\u3079\u3070\u3001\u659c\u65b9\u6295\u5c04\u3092\u7406\u89e3\u3059\u308b\u306e\u306f\u7c21\u5358\u3067\u3059\u3002\u6c34\u5e73\u6295\u5c04\u306e\u5834\u5408\u3001\u925b\u76f4\u65b9\u5411\u306f\u81ea\u7531\u843d\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002\u4e00\u65b9\u3067\u659c\u65b9\u6295\u5c04\u3067\u306f\u3001\u925b\u76f4\u65b9\u5411\u306f\u925b\u76f4\u6295\u3052\u4e0a\u3052\u3068\u306a\u308a\u307e\u3059\u3002<\/span>\u659c\u3081\u4e0a\u306b\u30dc\u30fc\u30eb\u3092\u6295\u3052\u308b\u306e\u304c\u659c\u65b9\u6295\u5c04\u306b\u306a\u308b\u304b\u3089\u3067\u3059\u3002<\/p>\n

      \"\"<\/p>\n

      \u305f\u3060\u6c34\u5e73\u6295\u5c04\u3068\u306f\u7570\u306a\u308a\u3001\u659c\u65b9\u6295\u5c04\u3067\u306f\u659c\u3081\u4e0a\u306b\u6295\u3052\u308b\u3053\u3068\u306b\u306a\u308b\u305f\u3081\u3001\u6c34\u5e73\u65b9\u5411\u306e\u529b\u3068\u925b\u76f4\u65b9\u5411\u306e\u529b\u3092\u305d\u308c\u305e\u308c\u8a08\u7b97\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n

      \u8a08\u7b97\u65b9\u6cd5\u306f\u7c21\u5358\u3067\u3042\u308a\u3001\u4e09\u89d2\u6bd4\u3092\u5b66\u3093\u3067\u3044\u308b\u5834\u5408\u306f\u5bb9\u6613\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u521d\u901f\u5ea6\\(v_0\\)\u3067\u6295\u3052\u3001\u5730\u9762\u3068\u306e\u89d2\u5ea6\u3092\u03b8\u3068\u3059\u308b\u3068\u304d\u3001\u6c34\u5e73\u65b9\u5411\u306e\u529b\u3068\u925b\u76f4\u65b9\u5411\u306e\u901f\u5ea6\u306f\u305d\u308c\u305e\u308c\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

        \n
      • \u6c34\u5e73\u65b9\u5411\u306e\u529b\uff1a\\(v_0cos\u03b8\\)<\/li>\n
      • \u925b\u76f4\u65b9\u5411\u306e\u529b\uff1a\\(v_0sin\u03b8\\)<\/li>\n<\/ul>\n

        \"\"<\/p>\n

        \u6570\u5b66\u3067\u4e09\u89d2\u6bd4\u3092\u5b66\u3093\u3067\u3044\u308b\u5834\u5408\u3001\u554f\u984c\u306a\u304f\u7406\u89e3\u3067\u304d\u308b\u3068\u601d\u3044\u307e\u3059\u3002\u5e73\u9762\u3067\u306e\u904b\u52d5\u3067\u306f\u30d9\u30af\u30c8\u30eb\uff08\u6210\u5206\uff09\u306b\u3088\u3063\u3066\u5206\u3051\u308b\u5fc5\u8981\u304c\u3042\u308b\u305f\u3081\u3001sin\u03b8\u3068cos\u03b8\u3092\u5229\u7528\u3059\u308b\u3053\u3068\u3067\u901f\u5ea6\u3092\u5206\u3051\u308b\u306e\u3067\u3059\u3002<\/p>\n

        \u659c\u65b9\u6295\u5c04\u306b\u95a2\u3059\u308b\u305d\u306e\u4ed6\u306e\u8003\u3048\u65b9\u306f\u3053\u308c\u307e\u3067\u8aac\u660e\u3057\u305f\u5185\u5bb9\u3068\u540c\u3058\u3067\u3059\u3002\u306a\u304a\u925b\u76f4\u65b9\u5411\u306f\u901f\u5ea6\u306e\u5411\u304d\u3068\u91cd\u529b\u52a0\u901f\u5ea6\u306e\u5411\u304d\u304c\u9006\u3067\u3042\u308b\u305f\u3081\u3001\u91cd\u529b\u52a0\u901f\u5ea6\u304c\\(-g\\)\u306b\u306a\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

        \u659c\u65b9\u6295\u5c04\u306b\u95a2\u308f\u308b\u7df4\u7fd2\u554f\u984c<\/h3>\n

        \u305d\u308c\u3067\u306f\u3001\u659c\u65b9\u6295\u5c04\u306e\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ee5\u4e0b\u306e\u554f\u984c\u306e\u7b54\u3048\u306f\u4f55\u3067\u3057\u3087\u3046\u304b\u3002<\/p>\n

          \n
        • \u5730\u9762\u3068\u306e\u89d2\u5ea6\u304c\u03b8\u3068\u306a\u308b\u3088\u3046\u306b\u30dc\u30fc\u30eb\u3092\u521d\u901f\u5ea6\\(v’\\)\u3067\u659c\u3081\u4e0a\u306b\u6295\u5c04\u3057\u307e\u3057\u305f\u3002<\/li>\n<\/ul>\n

          \"\"<\/p>\n

            \n
          1. \u6700\u9ad8\u70b9\u306b\u9054\u3059\u308b\u307e\u3067\u306e\u6642\u9593\\(t\\)\u3068\u9ad8\u3055\\(h\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n
          2. \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u3068\u304d\u3001\u6c34\u5e73\u65b9\u5411\u306b\u79fb\u52d5\u3057\u305f\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ol>\n

            1) \u6700\u9ad8\u70b9\u306b\u9054\u3059\u308b\u307e\u3067\u306e\u6642\u9593\\(t\\)\u3068\u9ad8\u3055\\(h\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046<\/strong><\/p>\n

            \u659c\u65b9\u6295\u5c04\u3067\u306f\u3001\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306b\u30d9\u30af\u30c8\u30eb\u3092\u5206\u89e3\u3057\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u6700\u9ad8\u70b9\u3078\u306e\u5230\u9054\u3067\u8003\u616e\u3057\u306a\u3051\u308c\u3070\u3044\u3051\u306a\u3044\u306e\u306f\u925b\u76f4\u65b9\u5411\u306e\u30d9\u30af\u30c8\u30eb\u3067\u3059\u3002\u5730\u9762\u3068\u306e\u89d2\u5ea6\u304c\u03b8\u306a\u306e\u3067\u3001\u925b\u76f4\u65b9\u5411\u306e\u521d\u901f\u5ea6\u306f\\(v’sin\u03b8\\)\u3067\u3059\u3002\u307e\u305f\u3001\u6700\u9ad8\u70b9\u3067\u306e\u925b\u76f4\u65b9\u5411\u306e\u901f\u5ea6\u306f0\u3067\u3059\u3002<\/p>\n

            \u305d\u3053\u3067\u7b49\u52a0\u901f\u5ea6\u76f4\u7dda\u904b\u52d5\u306e\u516c\u5f0f\u306b\u5f53\u3066\u306f\u3081\u3066\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

            \\(v=v_0+at\\)<\/p>\n

            \\(0=v’sin\u03b8-gt\\)<\/p>\n

            \\(t=\\displaystyle\\frac{v’sin\u03b8}{g}\\)<\/p>\n

            \u3053\u3046\u3057\u3066\u3001\u6700\u9ad8\u70b9\u3078\u306e\u5230\u9054\u6642\u9593\u306f\\(\\displaystyle\\frac{v’sin\u03b8}{g}\\)\u3068\u308f\u304b\u308a\u307e\u3059\u3002\u540c\u69d8\u306b\u516c\u5f0f\u3092\u5229\u7528\u3057\u3001\u9ad8\u3055\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n

            \\(v^2-v_0^2=2ax\\)<\/p>\n

            \\(0-v’^2sin^2\u03b8=-2gh\\)<\/p>\n

            \\(h=\\displaystyle\\frac{v’^2sin^2\u03b8}{2g}\\)<\/p>\n

            \u6700\u9ad8\u70b9\u306e\u9ad8\u3055\u306f\\(\\displaystyle\\frac{v’^2sin^2\u03b8}{2g}\\)\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n

            2) \u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u3068\u304d\u3001\u6c34\u5e73\u65b9\u5411\u306b\u79fb\u52d5\u3057\u305f\u8ddd\u96e2\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046<\/strong><\/p>\n

            \u30dc\u30fc\u30eb\u304c\u6700\u9ad8\u70b9\u306b\u9054\u3059\u308b\u307e\u3067\u306e\u6642\u9593\u30922\u500d\u3059\u308b\u3068\u3001\u30dc\u30fc\u30eb\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u6642\u9593\u306b\u306a\u308a\u307e\u3059\u3002\u30dc\u30fc\u30eb\u3092\u6295\u5c04\u3059\u308b\u4f4d\u7f6e\u3068\u30dc\u30fc\u30eb\u304c\u5230\u7740\u3059\u308b\u5730\u9762\u306e\u4f4d\u7f6e\u306f\u9ad8\u3055\u304c\u7b49\u3057\u3044\u304b\u3089\u3067\u3059\u3002\u6700\u9ad8\u70b9\u3078\u306e\u5230\u9054\u6642\u9593\u306f\\(\\displaystyle\\frac{v’sin\u03b8}{g}\\)\u306a\u306e\u3067\u3001\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u6642\u9593\u306f\\(\\displaystyle\\frac{2v’sin\u03b8}{g}\\)\u3067\u3059\u3002<\/p>\n

            \u307e\u305f\u6c34\u5e73\u65b9\u5411\u306e\u901f\u3055\u306f\\(v’cos\u03b8\\)\u3067\u3059\u3002\u6c34\u5e73\u65b9\u5411\u306f\u7b49\u901f\u76f4\u7dda\u904b\u52d5\u3068\u306a\u308b\u305f\u3081\u3001\u901f\u3055\u3068\u7d4c\u904e\u6642\u9593\u3092\u304b\u3051\u308b\u3053\u3068\u306b\u3088\u3063\u3066\u6c34\u5e73\u65b9\u5411\u306e\u79fb\u52d5\u8ddd\u96e2\u3092\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u7b54\u3048\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

            \\(v’cos\u03b8\u00d7\\displaystyle\\frac{2v’sin\u03b8}{g}\\)<\/p>\n

            \\(=\\displaystyle\\frac{2v’^2sin\u03b8cos\u03b8}{g}\\)<\/p>\n

            \u3053\u3046\u3057\u3066\u3001\u6c34\u5e73\u65b9\u5411\u3078\u306e\u79fb\u52d5\u8ddd\u96e2\u306f\\(\\displaystyle\\frac{2v’^2sin\u03b8cos\u03b8}{g}\\)\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n

            \u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\uff1a\u7a7a\u4e2d\u3067\u306e2\u7269\u4f53\u306e\u885d\u7a81<\/h2>\n

            \u3053\u3053\u307e\u3067\u89e3\u8aac\u3057\u305f\u5185\u5bb9\u306e\u5fdc\u7528\u554f\u984c\u3068\u3057\u3066\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\u304c\u3042\u308a\u307e\u3059\u3002\u30cf\u30f3\u30bf\u30fc\u304c\u30b5\u30eb\u306b\u9283\u5f3e\u3092\u5f53\u3066\u308b\u3068\u304d\u3001\u767a\u7832\u3068\u540c\u6642\u306b\u5927\u304d\u306a\u97f3\u304c\u51fa\u308b\u305f\u3081\u3001\u30b5\u30eb\u306f\u9a5a\u3044\u3066\u6728\u304b\u3089\u843d\u3061\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u3053\u306e\u72b6\u6cc1\u306b\u3066\u3001\u3069\u306e\u3088\u3046\u306b\u30b5\u30eb\u306b\u9283\u5f3e\u3092\u5f53\u3066\u3066\u4ed5\u7559\u3081\u308b\u306e\u304b\u8003\u3048\u308b\u306e\u304c\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\u3067\u3059\u3002<\/p>\n

            \u659c\u65b9\u6295\u5c04\u3068\u81ea\u7531\u843d\u4e0b\u3092\u7d44\u307f\u5408\u308f\u305b\u308b\u7269\u7406\u306e\u554f\u984c\u304c\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\u3067\u3042\u308a\u3001\u7a7a\u4e2d\u3067\u306e2\u7269\u4f53\u304c\u885d\u7a81\u3059\u308b\u306b\u306f\u3069\u3046\u3059\u308c\u3070\u3044\u3044\u306e\u304b\u3092\u8003\u3048\u308b\u306e\u3067\u3059\u3002<\/p>\n

            \u305d\u308c\u3067\u306f\u3001\u5b9f\u969b\u306b\u554f\u984c\u3092\u89e3\u3044\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n

              \n
            • \u539f\u70b9\u304b\u3089\u30dc\u30fc\u30ebA\u3092\u5730\u9762\u3068\u306e\u89d2\u5ea6\u304c\u03b8\u3068\u306a\u308b\u3088\u3046\u306b\u901f\u3055\\(v’\\)\u3067\u6253\u3061\u51fa\u3057\u307e\u3059\u3002\u540c\u6642\u306b\u539f\u70b9\u304b\u3089\u6c34\u5e73\u65b9\u5411\u306b\\(l\\)\u96e2\u308c\u3001\u9ad8\u3055\\(h\\)\u306e\u4f4d\u7f6e\u304b\u3089\u30dc\u30fc\u30ebB\u3092\u81ea\u7531\u843d\u4e0b\u3055\u305b\u307e\u3059\u3002\u306a\u304a\u91cd\u529b\u52a0\u901f\u5ea6\u306f\\(g\\)\u3067\u3042\u308a\u3001\u7a7a\u6c17\u62b5\u6297\u306f\u7121\u8996\u3067\u304d\u307e\u3059\u3002\u307e\u305f\u3001\u300c\u30dc\u30fc\u30ebA\u3092\u767a\u5c04\u3059\u308b\u4f4d\u7f6e\u300d\u300c\u30dc\u30fc\u30ebB\u3092\u843d\u3068\u3059\u4f4d\u7f6e\u300d\u300c\u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u4f4d\u7f6e\u300d\u3092\u7d50\u3076\u3068\u76f4\u89d2\u4e09\u89d2\u5f62\u306b\u306a\u308a\u307e\u3059\u3002<\/li>\n<\/ul>\n

              \"\"<\/p>\n

                \n
              1. \u7d4c\u904e\u6642\u9593\u304c\\(t\\)\u306e\u3068\u304d\u3001\u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u306e\u9ad8\u3055\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n
              2. \u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u304c\u885d\u7a81\u3059\u308b\u3068\u304d\u3001\u30dc\u30fc\u30ebB\u3092\u843d\u3068\u3059\u3068\u304d\u306e\u9ad8\u3055\\(h\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/li>\n
              3. \u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u9054\u3059\u308b\u524d\u306b\u30dc\u30fc\u30ebA\u304c\u30dc\u30fc\u30ebB\u306b\u5f53\u305f\u308b\u3068\u304d\u3001\u30dc\u30fc\u30ebA\u306e\u521d\u901f\u5ea6\\(v’\\)\u306e\u6761\u4ef6\u3092\\(g,l,h\\)\u3092\u5229\u7528\u3057\u3066\u793a\u3057\u307e\u3057\u3087\u3046\u3002<\/li>\n<\/ol>\n

                1) \u7d4c\u904e\u6642\u9593\u304c\\(t\\)\u306e\u3068\u304d\u3001\u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u306e\u9ad8\u3055\u3092\u6c42\u3081\u307e\u3057\u3087\u3046<\/strong><\/p>\n

                \u307e\u305a\u3001\u30dc\u30fc\u30ebA\u306e\u5ea7\u6a19\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u3053\u308c\u307e\u3067\u8aac\u660e\u3057\u305f\u3084\u308a\u65b9\u306b\u3088\u3063\u3066\u659c\u65b9\u6295\u5c04\u306e\u305f\u3066\u8ef8\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002\u306a\u304a\u925b\u76f4\u65b9\u5411\u306e\u521d\u901f\u5ea6\u306f\\(v’sin\u03b8\\)\u3067\u3059\u3002<\/p>\n

                \\(x=v_0t+\\displaystyle\\frac{1}{2}at^2\\)<\/p>\n

                \\(x=v’sin\u03b8\u00b7t-\\displaystyle\\frac{1}{2}gt^2\\)<\/p>\n

                \u3053\u3046\u3057\u3066\u3001\u30dc\u30fc\u30ebA\u306e\u9ad8\u3055\u306f\\(v’sin\u03b8\u00b7t-\\displaystyle\\frac{1}{2}gt^2\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\u30dc\u30fc\u30ebB\u306f\u81ea\u7531\u843d\u4e0b\u3059\u308b\u305f\u3081\u3001\u79fb\u52d5\u8ddd\u96e2\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

                \\(x=v_0t+\\displaystyle\\frac{1}{2}at^2\\)<\/p>\n

                \\(x=0-\\displaystyle\\frac{1}{2}gt^2\\)<\/p>\n

                \\(x=-\\displaystyle\\frac{1}{2}gt^2\\)<\/p>\n

                \u306a\u304a\u3001\u9ad8\u3055\\(h\\)\u304b\u3089\u81ea\u7531\u843d\u4e0b\u3055\u305b\u3066\u3044\u308b\u305f\u3081\u3001\\(t\\)\u79d2\u5f8c\u306e\u30dc\u30fc\u30ebB\u306e\u9ad8\u3055\u306f\\(h-\\displaystyle\\frac{1}{2}gt^2\\)\u3067\u3059\u3002<\/p>\n

                2) \u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u304c\u885d\u7a81\u3059\u308b\u3068\u304d\u3001\u30dc\u30fc\u30ebB\u3092\u843d\u3068\u3059\u3068\u304d\u306e\u9ad8\u3055\\(h\\)\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/strong><\/p>\n

                \u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u304c\u885d\u7a81\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u885d\u7a81\u6642\u306e\u9ad8\u3055\u304c\u540c\u3058\u3067\u3042\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u8a08\u7b97\u3057\u305f\u30dc\u30fc\u30ebA\u306e\u9ad8\u3055\u3068\u30dc\u30fc\u30ebB\u306e\u9ad8\u3055\u3092\u30a4\u30b3\u30fc\u30eb\u3067\u7d50\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \\(v’sin\u03b8\u00b7t-\\displaystyle\\frac{1}{2}gt^2=h-\\displaystyle\\frac{1}{2}gt^2\\)<\/p>\n

                \\(v’sin\u03b8\u00b7t=h\\)<\/p>\n

                \u3053\u3046\u3057\u3066\u3001\u30dc\u30fc\u30ebB\u3092\u843d\u3068\u3059\u9ad8\u3055\\(h\\)\u306f\\(v’sin\u03b8\u00b7t\\)\u3068\u308f\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n

                3) \u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u9054\u3059\u308b\u524d\u306b\u30dc\u30fc\u30ebA\u304c\u30dc\u30fc\u30ebB\u306b\u5f53\u305f\u308b\u3068\u304d\u3001\u30dc\u30fc\u30ebA\u306e\u521d\u901f\u5ea6\\(v’\\)\u306e\u6761\u4ef6\u3092\\(g,l,h\\)\u3092\u5229\u7528\u3057\u3066\u793a\u3057\u307e\u3057\u3087\u3046<\/strong><\/p>\n

                \u7167\u6e96\u304c\u6b63\u78ba\u3067\u3042\u3063\u3066\u3082\u3001\u30dc\u30fc\u30ebA\u306e\u901f\u5ea6\u304c\u9045\u3044\u3068\u30dc\u30fc\u30ebB\u306f\u5148\u306b\u5730\u9762\u306b\u843d\u4e0b\u3057\u3066\u3057\u307e\u3044\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u30dc\u30fc\u30ebA\u306f\u3042\u308b\u7a0b\u5ea6\u306e\u901f\u3055\u304c\u306a\u3051\u308c\u3070\u3044\u3051\u307e\u305b\u3093\u3002<\/p>\n

                \u30dc\u30fc\u30ebA\u304c\u30dc\u30fc\u30ebB\u306b\u5f53\u305f\u308b\u305f\u3081\u306b\u306f\u3001\u30dc\u30fc\u30eb\u306e\u6642\u9593\u3092\u8003\u3048\u307e\u3057\u3087\u3046\u3002\u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u3088\u308a\u3082\u524d\u306b\u3001\u30dc\u30fc\u30ebA\u304c\u6c34\u5e73\u65b9\u5411\u306b\u8ddd\u96e2\\(l\\)\u3092\u52d5\u3051\u3070\u3001\u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u306f\u885d\u7a81\u3057\u307e\u3059\u3002\u305d\u3053\u3067\u3001\u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u6642\u9593\u3068\u30dc\u30fc\u30ebA\u304c\u8ddd\u96e2\\(l\\)\u3092\u79fb\u52d5\u3059\u308b\u6642\u9593\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u6642\u9593\\(t_B\\)\u306f\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

                \\(x=v_0t+\\displaystyle\\frac{1}{2}at^2\\)<\/p>\n

                \\(h=0-\\displaystyle\\frac{1}{2}gt_B^2\\)<\/p>\n

                \\(t_B^2=\\displaystyle\\frac{2h}{g}\\)<\/p>\n

                \\(t_B=\\sqrt{\\displaystyle\\frac{2h}{g}}\\) \\((t_B>0)\\)<\/p>\n

                \u6b21\u306b\u3001\u30dc\u30fc\u30ebA\u304c\u8ddd\u96e2\\(l\\)\u3092\u79fb\u52d5\u3059\u308b\u6642\u9593\\(t_A\\)\u3092\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002\u30dc\u30fc\u30ebA\u306e\u6c34\u5e73\u65b9\u5411\u306e\u901f\u5ea6\u306f\\(v’cos\u03b8\\)\u306a\u306e\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n

                \\(l=v’cos\u03b8\u00d7t_A\\)<\/p>\n

                \\(t_A=\\displaystyle\\frac{l}{v’cos\u03b8}\\)<\/p>\n

                \u3053\u3046\u3057\u3066\u3001\\(t_A\\)\u3068\\(t_B\\)\u3092\u5f97\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002\u30dc\u30fc\u30ebA\u3068\u30dc\u30fc\u30ebB\u304c\u885d\u7a81\u3059\u308b\u305f\u3081\u306b\u306f\u3001\u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u6642\u9593\\(t_B\\)\u3088\u308a\u3082\u3001\u30dc\u30fc\u30ebA\u304c\u8ddd\u96e2\\(l\\)\u3092\u79fb\u52d5\u3059\u308b\u6642\u9593\\(t_A\\)\u304c\u5c0f\u3055\u3051\u308c\u3070\u3044\u3044\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308b\u3068\u3001\\(t_A<t_B\\)\u3067\u3042\u308c\u3070\u30dc\u30fc\u30ebA\u306f\u30dc\u30fc\u30ebB\u306b\u885d\u7a81\u3057\u307e\u3059\u3002<\/p>\n

                \u305d\u3053\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \\(t_A<t_B\\)<\/p>\n

                \\(\\displaystyle\\frac{l}{v’cos\u03b8}<\\sqrt{\\displaystyle\\frac{2h}{g}}\\)<\/p>\n

                \\(v’>\\sqrt{\\displaystyle\\frac{g}{2h}}\u00b7\\displaystyle\\frac{l}{cos\u03b8}\\)<\/p>\n

                \u306a\u304a\u554f\u984c\u6587\u3088\u308a\u3001\u300c\u30dc\u30fc\u30ebA\u3092\u767a\u5c04\u3059\u308b\u4f4d\u7f6e\u300d\u300c\u30dc\u30fc\u30ebB\u3092\u843d\u3068\u3059\u4f4d\u7f6e\u300d\u300c\u30dc\u30fc\u30ebB\u304c\u5730\u9762\u306b\u5230\u7740\u3059\u308b\u4f4d\u7f6e\u300d\u3092\u7d50\u3076\u3068\u76f4\u89d2\u4e09\u89d2\u5f62\u306b\u306a\u308b\u305f\u3081\u3001\\(cos\u03b8=\\displaystyle\\frac{l}{\\sqrt{h^2+l^2}}\\)\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u5148\u307b\u3069\u306e\u5f0f\u306b\u4ee3\u5165\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \\(v’>\\sqrt{\\displaystyle\\frac{g}{2h}}\u00b7l\u00b7\\displaystyle\\frac{\\sqrt{h^2+l^2}}{l}\\)<\/p>\n

                \\(v’>\\sqrt{\\displaystyle\\frac{g(h^2+l^2)}{2h}}\\)<\/p>\n

                \u3053\u3046\u3057\u3066\u3001\u521d\u901f\u5ea6\\(v’\\)\u306e\u6761\u4ef6\u306f\\(v’>\\sqrt{\\displaystyle\\frac{g(h^2+l^2)}{2h}}\\)\u306b\u306a\u308b\u3068\u8a08\u7b97\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n

                \u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u306e\u8003\u3048\u65b9\u3092\u5b66\u3076<\/h2>\n

                \u9ad8\u6821\u7269\u7406\u3067\u529b\u5b66\u3092\u5b66\u3076\u3068\u304d\u3001\u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u3067\u306f\u96e3\u6613\u5ea6\u304c\u4e0a\u304c\u308a\u307e\u3059\u3002\u6c34\u5e73\u6295\u5c04\u3067\u306f\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306b\u30d9\u30af\u30c8\u30eb\u3092\u5206\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u925b\u76f4\u65b9\u5411\u3067\u306f\u81ea\u7531\u843d\u4e0b\u3068\u306a\u308b\u305f\u3081\u3001\u81ea\u7531\u843d\u4e0b\u3068\u6c34\u5e73\u6295\u5c04\u3067\u306f\u5730\u9762\u3078\u306e\u5230\u7740\u6642\u9593\u306f\u540c\u3058\u306b\u306a\u308b\u3053\u3068\u3092\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \u6c34\u5e73\u6295\u5c04\u3092\u5b66\u3079\u3070\u3001\u659c\u65b9\u6295\u5c04\u3092\u7406\u89e3\u3059\u308b\u306e\u306f\u96e3\u3057\u304f\u3042\u308a\u307e\u305b\u3093\u3002\u659c\u65b9\u6295\u5c04\u3067\u306f\u3001\u925b\u76f4\u65b9\u5411\u304c\u925b\u76f4\u6295\u3052\u4e0a\u3052\u306b\u306a\u308a\u307e\u3059\u3002\u307e\u305fsin\u03b8\u3068cos\u03b8\u3092\u5229\u7528\u3057\u3066\u6c34\u5e73\u65b9\u5411\u3068\u925b\u76f4\u65b9\u5411\u306b\u5206\u89e3\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \u306a\u304a\u3001\u5fdc\u7528\u554f\u984c\u3068\u3057\u3066\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\u304c\u3042\u308a\u307e\u3059\u3002\u77e5\u8b58\u306a\u3057\u306b\u30e2\u30f3\u30ad\u30fc\u30cf\u30f3\u30c6\u30a3\u30f3\u30b0\u306e\u554f\u984c\u3092\u89e3\u304f\u306e\u306f\u975e\u5e38\u306b\u96e3\u3057\u3044\u3067\u3059\u3002\u305d\u3053\u3067\u3001\u3069\u306e\u3088\u3046\u306b\u659c\u65b9\u6295\u5c04\u306e\u77e5\u8b58\u3092\u5229\u7528\u3057\u3066\u7b54\u3048\u3092\u51fa\u305b\u3070\u3044\u3044\u306e\u304b\u5b66\u3073\u307e\u3057\u3087\u3046\u3002<\/p>\n

                \u6c34\u5e73\u6295\u5c04\u3067\u3082\u659c\u65b9\u6295\u5c04\u3067\u3082\u3001\u5229\u7528\u3059\u308b\u516c\u5f0f\u306f\u7b49\u52a0\u901f\u5ea6\u76f4\u7dda\u904b\u52d5\u306e\u516c\u5f0f\u306e\u307f\u3067\u3059\u3002\u516c\u5f0f\u3092\u5229\u7528\u3057\u3001\u529b\u5b66\u306e\u8a08\u7b97\u3092\u884c\u3048\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u3087\u3046\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

                \u7269\u7406\u3092\u5b66\u3076\u3068\u304d\u3001\u591a\u304f\u306e\u4eba\u304c\u6df7\u4e71\u3059\u308b\u5185\u5bb9\u306b\u6c34\u5e73\u6295\u5c04\u3068\u659c\u65b9\u6295\u5c04\u304c\u3042\u308a\u307e\u3059\u3002\u7269\u7406\u3067\u306f\u6c34\u5e73\u65b9\u5411\u3068\u5782\u76f4\u65b9\u5411\u306b\u5206\u3051\u3066\u52d5\u304d\u3092\u8003\u3048\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002\u307e\u305f\u4e16\u306e\u4e2d\u306e\u73fe\u8c61\u306b\u306f\u3001\u76f4\u611f\u3068\u306f\u53cd\u3059\u308b\u73fe\u8c61\u3082\u3072\u3093\u3071\u3093\u306b\u5b58\u5728\u3057\u307e\u3059\u3002\u305d\u306e\u4e00\u3064\u304c\u6c34\u5e73\u6295\u5c04\u3067\u3059\u3002 […]<\/p>\n","protected":false},"author":1,"featured_media":8811,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"class_list":{"0":"post-8785","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics-2"},"_links":{"self":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/8785","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/comments?post=8785"}],"version-history":[{"count":10,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/8785\/revisions"}],"predecessor-version":[{"id":9465,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/posts\/8785\/revisions\/9465"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media\/8811"}],"wp:attachment":[{"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/media?parent=8785"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/categories?post=8785"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hatsudy.com\/jp\/wp-json\/wp\/v2\/tags?post=8785"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}