Question

9£®ÔȱäËÙÖ±ÏßÔ˶¯µÄÎïÌ壬Öмäʱ¿ÌµÄ˲ʱËٶȵÈÓÚÕâ¶Îʱ¼äÄÚµÄƽ¾ùËٶȣ¬Ä³Í¬Ñ§ÔÚ¡°ÑéÖ¤ÔȱäËÙÖ±ÏßÔ˶¯µÄС³µËÙ¶ÈËæʱ¼ä±ä»¯µÄ¹æÂÉ¡±µÄʵÑéÖУ¬Èçͼ1¸ø³öÁË´Ó0µã¿ªÊ¼£¬Ã¿5¸öµãÈ¡Ò»¸ö¼ÆÊýµãµÄÖ½´ø£¬ÆäÖÐ0¡¢1¡¢2¡¢3¡¢4¡¢5¡¢6¶¼Îª¼ÆÊýµã£®²âµÃ£ºs₁=1.40cm£¬s₂=1.90cm£¬s₃=2.40cm£¬s₄=2.88cm£¬s₅=3.43cm£¬s₆=3.90cm£®£¨ÒÔϼÆËã½á¹û¾ù±£ÁôÈýλÓÐЧÊý×Ö£©

£¨1£©ÔÚ¼ÆʱÆ÷´ò³öµã1¡¢2¡¢3¡¢4¡¢5ʱ£¬Ð¡³µµÄËٶȷֱðΪ£ºv₁=16.5 cm/s£¬v₂=21.5 cm/s£¬v₃=26.4cm/s£¬v₄=31.6 cm/s£¬v₅=36.7 cm/s£®
£¨2£©ÔÚͼ2×ø±êÖ½ÖÐ×÷³öС³µÔ˶¯µÄv-tͼÏó£®
£¨3£©ÔÚÇó½âÔ˶¯Ð¡³µµÄ¼ÓËÙ¶Èʱ£¬Á½Î»Í¬Ñ§¶ÔÕâÒ»ÎÊÌâÓв»Í¬¿´·¨£¬¼×ͬѧÈÏΪ£¬Ö»ÒªÔÚÉÏÃæ¼ÆËãºÃµÄ5¸öËÙ¶ÈÖУ¬ÈÎÒâÈ¡Á½¸ö£¬´úÈ빫ʽ¼´¿ÉÇó³ö¼ÓËٶȣ¬¶øÒÒͬѧÔòÈÏΪ£¬Ó¦¸ÃÑ¡È¡v-tͼÏóÉϵÄÏà¾à½ÏÔ¶µÄÁ½¸öµãÀ´¼ÆËã¼ÓËٶȣ¬ÇëÎÊÄãÈÏΪÄÄλͬѧÇó½âµÄ¼ÓËٶȵķ½·¨¸üºÏÀíÒÒ£¨Ìî¼×»òÒÒ£©£¬°´ÕÕÄãÈÏΪºÏÀíµÄ·½·¨Çó³öa=50.11cm/s²£®

Answer 1

·ÖÎö Ö½´øʵÑéÖУ¬ÈôÖ½´øÔȱäËÙÖ±ÏßÔ˶¯£¬²âµÃÖ½´øÉϵĵã¼ä¾à£¬ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ£¬¿É¼ÆËã³ö´ò³öijµãʱֽ´øÔ˶¯µÄ˲ʱËٶȺͼÓËٶȣ®

½â´ð ½â£º£¨1£©Ã¿5¸öµãÈ¡Ò»¸ö¼ÆÊýµãµÄÖ½´øËùÒÔÏàÁڵļÆÊýµãÖ®¼äµÄʱ¼ä¼ä¸ôΪ0.1s£¬ÀûÓÃÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂ۵ãº
v₁=$\frac{{s}_{1}+{s}_{2}}{2t}$=$\frac{1.40+1.90}{0.2}$=16.5 cm/s
v₂=$\frac{{s}_{2}+{s}_{3}}{2t}$=21.5cm/s
v₃=$\frac{{s}_{3}+{s}_{4}}{2t}$=26.4 cm/s
v₄=$\frac{{s}_{4}+{s}_{5}}{2t}$=31.6cm/s
v₅=$\frac{{s}_{5}+{s}_{6}}{2t}$=36.7cm/s
£¨2£©¸ù¾ÝÒÔÉÏÊý¾ÝÀûÓÃÃèµã·¨µÃ³ö¶ÔÓ¦µÄͼÏóÈçͼËùʾ£»

£¨3£©Ó¦¸ÃÑ¡È¡v-tͼÏóÉϵÄÏà¾à½ÏÔ¶µÄÁ½¸öµãÀ´¼ÆËã¼ÓËٶȣ¬ÓÐÀûÓÚ¼õСżȻÎó²î£¬¹ÊÒÒͬѧÕýÈ·£»
¸ù¾Ý×÷²î·¨µÃ£ºa=$\frac{{s}_{6}+{s}_{5}+{s}_{4}-{s}_{3}-{s}_{2}-{s}_{1}}{9{t}^{2}}$=$\frac{3.90+3.43+2.88-2.40-1.90-1.40}{0.09}$=50.11cm/s²£®
¹Ê´ð°¸Îª£º£¨1£©16.5£»21.5£»26.4£»31.6£»36.7£»
£¨2£©ÈçÉÏͼËùʾ£»
£¨3£©ÒÒ£¬50.11£®

µãÆÀ ±¾Ì⿼²éÑо¿Ð¡³µÔ˶¯µÄ¹æÂÉÎÊÌ⣬ҪÇóÄܹ»ÖªµÀÏàÁڵļÆÊýµãÖ®¼äµÄʱ¼ä¼ä¸ô£»¶ÔÓÚÖ½´øµÄÎÊÌ⣬ÎÒÃÇÒªÊìϤÔȱäËÙÖ±ÏßÔ˶¯µÄÌصãºÍһЩ¹æÂÉ£®