Question

7£®ÈçͼÊÇÎïÌå×ö ÔȱäËÙÖ±ÏßÔ˶¯µÃµ½µÄÒ»ÌõÖ½´ø£¬´Ó0µã¿ªÊ¼Ã¿5¸öµãÈ¡Ò»¸ö¼ÆÊýµã£¬ÒÀÕÕ´òµãµÄÏȺó˳ÐòÒÀ´Î±àºÅΪ1¡¢2¡¢3¡¢4¡¢5¡¢6£¬²âµÃx₁=5.18cm£¬x₂=4.40cm£¬x₃=3.62cm£¬x₄=2.78cm£¬x₅=2.00cm£¬x₆=1.22cm£®
 
£¨1£©ÏàÁÚÁ½¼ÆÊýµã¼äµÄʱ¼ä¼ä¸ôΪ0.1 s£»
£¨2£©´òµã¼ÆʱÆ÷´ò¼ÆÊýµã3ʱ£¬ÎïÌåµÄËٶȴóСv₃=0.32 m/s£»
£¨3£©ÎïÌåÔ˶¯µÄ¼ÓËٶȴóСΪ0.8m/s²£®

Answer 1

·ÖÎö £¨1£©ÏàÁÚÁ½¼ÆÊýµã¼äÓÐ4¸öµãûÓбê³ö£¬¹ÊT=5t£¬ÆäÖÐt=0.02s£»
£¨2£©¸ù¾ÝÔÚÔȱäËÙÖ±ÏßÔ˶¯ÖÐÖмäʱ¿ÌµÄ˲ʱËٶȵÈÓڸùý³ÌÖеÄƽ¾ùËٶȿÉÒÔÇó³ö´òµã¼ÆʱÆ÷´ò¼ÆÊýµã3ʱµÄËٶȣ»
£¨3£©¸ù¾ÝÔȱäËÙÖ±ÏßÔ˶¯µÄÍÆÂÛ¹«Ê½¡÷x=aT²¿ÉÒÔÇó³ö¼ÓËٶȵĴóС£®

½â´ð ½â£º£¨1£©´Ó0µã¿ªÊ¼Ã¿5¸ö¼ÆʱµãÈ¡Ò»¸ö¼ÆÊýµã£¬¹ÊÏàÁÚÁ½¼ÆÊýµã¼äµÄʱ¼ä¼ä¸ôΪT=0.1s£»
£¨2£©´òµã¼ÆʱÆ÷´ò¼ÆÊýµã3ʱµÄËٶȣº
v₃=$\frac{{x}_{3}+{x}_{4}}{2T}$=$\frac{3.62cm+2.78cm}{2¡Á0.1s}$32cm/s=0.32m/s£»
£¨3£©ÓÉ¡÷x=aT²¿ÉµÃ£º
x₄-x₁=3a₁T²£¬x₅-x₂=3a₂T²£¬x₆-x₃=3a₃T²£¬
ΪÁ˸ü¼Ó׼ȷµÄÇó½â¼ÓËٶȣ¬ÎÒÃǶÔÈý¸ö¼ÓËÙ¶Èȡƽ¾ùÖµµÃ£º
a=$\frac{1}{3}$£¨a₁+a₂+a₃£©
=$\frac{£¨{x}_{6}+{x}_{5}+{x}_{4}£©-£¨{x}_{3}+{x}_{2}+{x}_{1}£©}{9{T}^{2}}$
=$\frac{£¨1.22cm+2.00cm+2.78cm£©-£¨3.62cm+4.40cm+4.18cm£©}{9¡Á£¨0.1s£©^{2}}$
=80cm/s²=0.8m/s²£®
¹Ê´ð°¸Îª£º0.1£»0.32£»0.8£®

µãÆÀ ±¾Ìâ½èÖúʵÑ鿼²éÁËÔȱäËÙÖ±ÏߵĹæÂÉÒÔ¼°ÍÆÂÛµÄÓ¦Óã¬ÔÚƽʱÁ·Ï°ÖÐÒª¼ÓÇ¿»ù´¡ÖªÊ¶µÄÀí½âÓëÓ¦Óã¬Ìá¸ß½â¾öÎÊÌâÄÜÁ¦£®