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[m/s]¡¡¤Ë¤Ê¤ë¡£¡¡£ ½¾¤Ã¤ÆtÉøå¤Î®ÅÙ¤¬<1>¤Î 28 [m/s] ¤Ë¤Ê¤ë¤Î¤Ï v(t) = 9.8t = 28 [m/s]¤è¤ê t = 28/9.8 = 2.8571Ž¥Ž¥Ž¥ ¢â 2.86 [s] ¤Ë¤Ê¤ë¡£ <3>¤è¤ê¡¢2.86Éøå¤ÎÍ®ÅÙ¤¬v(2.86) = 9.8 [m/s^2] ¡ß 2.86 [s] = 28.028 ¢â 28 [m/s]¡¡¤ ¤Ç¤Ï¡¢0¡Á2.86 Éäδ֤ˤɤì¤À¤±Íî²¼¤¹¤ë¤«¤È¤¤¤¦¤È¡¢Â®ÅÙ¤¬ 0 ¤«¤é<4>¤Ë¤Ê¤ë¤Þ¤Ç¤ÎÊ¿¶Ñ®Å٤ϡ¢ (0 + 28 [m/s] )/2 = 14 [m/s] ¤Ê¤Î¤Ç2.86Éô֤ËÍî²¼¤¹¤ëµ÷Î¥¤Ï¡¢¤³¤Î¡ÖÊ¿¶Ñ®Å١פˡֻþ´Ö¡×¤ò¤«¤±¤Æ 14 [m/s] ¡ß 2.86[s] = 40.04 ¢â 40 [m]¤È¤¤¤¦¤³¤È¤Ë¤Ê¤ë¡£ ¡ÚÌäÂê¡Û2.5¡¡¹â¤µ1.225[m]¤Î´ù¤Î¾å¤ò2[m/s]¤Çž¤¬¤Ã¤Æ¤¤¤¿¥Ü¡¼¥ë¤¬¾²¤ËÍî¤Á¤¿¤È¤¡¢ ----------------------------------------------------------------------------------- Íî¤Á¤¿ÅÀ¤Ï´ù¤Îü¤Î¿¿²¼¤«¤é²¿[m]¤Î¤È¤³¤í¤«¡£ --------------------------------------------------------------------------- ¶õµ¤¤ÎÄñ¹³¤È¤«Ë໤¤È¤«¡¢¤½¤¦¤¤¤¦¤â¤Î¤Ï°ìÀڹͤ¨¤Ê¤¤¤È¤¹¤ì¤Ð¡¢ (i) ±ôľÊý¸þ¤Ë¤Ï¡Ö½ÅÎϡפ¬Æ¯¤¯¤Î¤Ç¡¢¡Ö½ÅÎϲîÅ١פˤè¤ë¡ÖÅù²Ã®ÅÙ±¿Æ°¡× (ii) ¿åÊ¿Êý¸þ¤Ë¤Ï²¿¤â²Ã®ÅÙ¤¬Æ¯¤«¤Ê¤¤¤Î¤Ç¡ÖÅù®±¿Æ°¡×¤È¤¤¤¦¤³¤È¤Ç¤¢¤ë¡£ ±ôľÊý¸þ¤ò y Êý¸þ¤È¤·¡¢Íî²¼¤¹¤ë²¼¸þ¤¤òÀµ¡¢´ù¤Î¹â¤µ¤ò y=0 [m] ¤È¤·¤Þ¤¹¡£ 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Êý¸þ¤È¤·¡¢Íî²¼¤¹¤ë²¼¸þ¤¤òÀµ¡¢Åꤲ¤¿¹â¤µ¤ò y=0 [m] ¤È¤¹¤ë¡£ ¤Þ¤¿¡¢¿åÊ¿Êý¸þ¤ò x Êý¸þ¤È¤·¡¢¡Ö¥Ü¡¼¥ë¤òÅꤲ¤¿Êý¸þ¡×¡¢Åꤲ¤¿°ÌÃÖ¤ò x=0 [m] ¤È¤¹¤ë¡£ (i) ±ôľÊý¸þ:¥Ü¡¼¥ë¤òÅꤲ¤¿½Ö´Ö¤ò t=0 ¤È¤¹¤ë¤È¡¢Í®Å٤ϡ¢½ÅÎϲîÅÙ¤¬ 9.8 [m/s^2] ¤Ê¤Î¤Ç¡¢Vy(t) = 9.8t t Éô֤ËÍî²¼¤¹¤ëµ÷Î¥¤Ï¡¢0¡Á9.8t ¤Î®¤µ¤ÎÊ¿¶ÑÃÍ 4.9t ¤Ë£ôÉäò¤«¤±¤¿¤â¤Î¤Ç¡¢y(t) = 4.9t ¡ß t = 4.9t^2¡¡¢ (ii) ¿åÊ¿Êý¸þ¥Ø¤Ï¤º¤Ã¤È Vx(t) = 144 [km/h] = 40 [m/s] ¤Ç°ìÄê¤Ê¤Î¤Ç¡¢t Éô֤˿ʤàµ÷Î¥¤Ïx(t) = 40t [m] ¤³¤ì¤¬¡Ö24 m¡×¤Ë¤Ê¤ë»þ´Ö¤Ï24 = 40t¡¡¢ª¡¡t = 24/40 = 0.6 [s] ¢¤è¤ê¡¢¤³¤Î´Ö¤ËÍî²¼¤¹¤ëµ÷Î¥¤Ïy(0.6) = 4.9 * 0.6^2 = 1.764 ¢â 1.8 [m] = 180 [cm] ¡ÚÌäÂê¡Û2.7®ÅÙ49[m/s]¤Ç45¡ë¤ÇÂǤÁ¾å¤²¤¿µå¤Ï¡¢¿åÊ¿µ÷Î¥²¿[m]¤Î¤È¤³¤í¤ËÍî²¼¤¹¤ë¤«¡£ ------------------------------------------------------------------------------------------------ (i) ±ôľÊý¸þ¤Ë¤Ï¡Ö½ÅÎϡפ¬Æ¯¤¯¤Î¤Ç¡¢¡Ö½ÅÎϲîÅ١פˤè¤ë¡ÖÅù²Ã®ÅÙ±¿Æ°¡× (ii) ¿åÊ¿Êý¸þ¤Ë¤Ï²¿¤â²Ã®ÅÙ¤¬Æ¯¤«¤Ê¤¤¤Î¤Ç¡ÖÅù®±¿Æ°¡×¤È¤¤¤¦¤³¤È¤À¤¬¡¢ Á°¤Î2¤Ä¤¬¡Ö±ôľÊý¸þ¤Î½é®ÅÙ¥¼¥í¡×¤À¤Ã¤¿¤Î¤ËÂФ·¡¢¤³¤³¤Ç¤Ï¡Ö¼Ð¤á¾å¡×¤ËÂǤÁ¾å¤²¤¿¤Î¤Ç¡¢ ¡¦±ôľÊý¸þ¤Î½é®Å٤ϡ־å¸þ¤¤Ë 49*sin(45¡ë) = 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