x=at²的变形
以初速为v ,时长为TXn= v*T+0.5aT^2
可知,在第k个时段后
Xn+k=(v+a*k*T)*T+0.5aT^2
Xn+k = vT +(k+0.5)aT^2
这两个采样段的距离差
△x = Xn+k-Xn= vT +(k+0.5)aT^2- （v*T+0.5aT^2） = kaT^2
即 a =△x/kT^2 = (Xn+k-Xn)/kT^2
k = 1,2,3,4
绛旓細浣犺鐨勫簲璇ユ槸X锛1/2*at^2鍜屛X=aT^2鐨勫尯鍒惂锛熷墠鑰呮槸鍒濋熷害涓洪浂鐨勫寑鍔犻熻繍鍔ㄧ殑浣嶇Щ璁＄畻鍏紡銆傚悗鑰呮槸鍖鍙橀熻繍鍔ㄨ繃绋嬩腑锛屽湪鐩搁偦鐨勭浉绛夋椂闂撮棿闅擳鍐咃紝浜岃呯殑浣嶇Щ涔嬪樊銆傚彲浠ョ畝鍗曟帹瀵煎涓嬶細璁惧湪鍓嶄竴涓椂闂碩鍐咃紝鐗╀綋鍦ㄤ腑闂存椂鍒荤殑閫熷害涓篤1 鍒欏湪鍚庝竴涓椂闂碩鍐咃紝鐗╀綋鍦ㄤ腑闂存椂鍒荤殑閫熷害涓篤2锛漋1+aT 浣嶇Щ...
绛旓細4銆佄x = at?? 鐨勫疄闄呮剰涔:缁忚繃t绉掑悗锛岄熷害鍙樻垚v锛屾鍚庡張缁忓巻绗簩娈垫椂闂磘绉掞紝绗簩涓猼绉掑唴鐨勪綅绉:x鈥= vt + ??at??螖x = x' - x = (v - u)t = (at)t = at??鎵浠ワ紝螖x = at?? 鐨勫疄闄呮剰涔夋槸:鍖鍔犻熺洿绾胯繍鍔ㄤ腑锛屽湪涓や釜杩炵画鐨勩佸悓鏍风殑鏃堕棿闂撮殧鍐咃紝绗簩娈垫椂闂村唴姣旂 涓娈...
绛旓細鈻x=aT2琛ㄧず鍦ㄨ繛缁浉绛夌殑鏃堕棿闂撮殧鍐呯殑浣嶇Щ涔嬪樊淇濇寔涓嶅彉锛岄兘绛変簬at²銆傛帹瀵煎涓嬶細鍏朵腑閫氳繃鍖鍙橀熺殑瀹氫箟鎺ㄥ鐨勫叕寮忎负鍔犻熷害锛 a=(v-v0)/t 銆佺灛鏃堕熷害鍏紡 锛歷=v0+at銆備綅绉诲叕寮忥細 x=vt+½at²銆 骞冲潎閫熷害 v=x/t=(v0+v)/2銆傦紙鍗曚綅鍧囦负鍥介檯鍗曚綅锛屽嵆a鐨勫崟浣嶄负m/s...
绛旓細璇烽噰绾筹紝璋㈣阿锛
绛旓細h=1/2at² 鏄垵閫熷害涓0鐨勫寑鍔犻熺洿绾胯繍鍔ㄧ殑浣嶇Щ鍏紡锛屾槸鍩烘湰鐨勫叕寮忥紝寰堝棰樺瀷閮戒細鐢ㄥ埌銆傗柍x=aT² (T涓烘椂闂撮棿闅)甯哥敤鍦ㄥ疄楠岄涓紝灏辨槸鐢ㄦ墦鐐硅鏃跺櫒绾稿甫鏉ユ眰鍖鍙橀熺洿绾胯繍鍔ㄧ殑鍔犻熷害銆傛瘮濡傜焊甯︿笂鏈7娈典綅绉伙紝鍘绘帀鏈鐭殑涓娈碉紝鎶婂叚娈典竴鍒嗕负浜岋紝鐢ㄥ悗涓夋鐨勫拰浣嶇Щ鍑忓幓鍓嶄笁娈电殑鍜屼綅绉伙紝鍐...
绛旓細X=at²搴旇鍐欐垚螖x=aT²灏辨洿濂戒簺锛屽畠鏄寑鍙橀熺洿绾胯繍鍔ㄧ壒娈婅寰嬬殑绗笁涓紝琛ㄧず鍦ㄥ寑鍙橀熺洿绾胯繍鍔ㄤ腑锛屼换鎰忚繛缁浉绛夋椂闂存浣嶇Щ涔嬪樊涓轰竴瀹氬硷紝鍗砤T²锛圱涓烘瘡娈电殑鏃堕棿闂撮殧锛夛紝螖x=x2-x1=x3-x2=鈥︹︼紝鎬昏岃█涔嬶紝鏄悗娈靛噺鍘诲墠娈碉紝鍗冲姞閫熶负姝ｏ紝鍑忛熶负璐燂紝杩欐牱鍔犻熸眰鍑篴灏辨槸姝ｇ殑锛...
绛旓細x=at²搴旇鍐欐垚未x=at²灏辨洿濂戒簺锛屽畠鏄寑鍙橀熺洿绾胯繍鍔ㄧ壒娈婅寰嬬殑绗笁涓紝琛ㄧず鍦ㄥ寑鍙橀熺洿绾胯繍鍔ㄤ腑锛屼换鎰忚繛缁浉绛夋椂闂存浣嶇Щ涔嬪樊涓轰竴瀹氬硷紝鍗砤t²锛坱涓烘瘡娈电殑鏃堕棿闂撮殧锛夛紝未x=x2-x1=x3-x2=鈥︹︼紝鎬昏岃█涔嬶紝鏄悗娈靛噺鍘诲墠娈碉紝鍗冲姞閫熶负姝ｏ紝鍑忛熶负璐燂紝杩欐牱鍔犻熸眰鍑篴灏辨槸姝ｇ殑锛...
绛旓細x=vt,涓鑸槸鍖閫熻繍鍔ㄧ敤鐨勫叕寮 v=at,涓鑸敤浜庡垵閫熷害涓0,鍔犻熷害涓篴鐨勫寑鍔犻熻繍鍔,鍘熷紡涓篤=Vo+at 褰撲竴涓墿浣撳仛鍖閫熻繍鍔ㄦ椂,鍔犻熷害a涓0,鍒濋熷害涓簐,閭ｄ箞x=vt,v=at涓嶉傜敤 鍏紡x=Vo t + 0.5at2 鏄牴鎹畑=0.5(Vo+V)t 浠ｅ叆V=Vo+at 寰 x=0.5(Vo+Vo+at)t 鍖栫畝寰梮=Vo t + 0.5at2...
绛旓細浠ュ垵閫熶负v ,鏃堕暱涓篢 Xn= v*T+0.5aT^2 鍙煡,鍦ㄧk涓椂娈靛悗 Xn+k=(v+a*k*T)*T+0.5aT^2 Xn+k = vT +(k+0.5)aT^2 杩欎袱涓噰鏍锋鐨勮窛绂诲樊 鈻x = Xn+k-Xn= vT +(k+0.5)aT^2- 锛坴*T+0.5aT^2锛 = kaT^2 鍗 a =鈻硏/kT^2 = (Xn+k-Xn)/kT^2 k = 1,2...
绛旓細鈻X=at² 鏄繛缁浉閭荤殑绛夋椂闂撮棿闅斿唴鐨勪綅绉诲樊銆傚叕寮忓彧鑳界敤浜庡寑鍙橀熺洿绾胯繍鍔ㄧ殑闂锛屼竴鑸敤浜庡疄楠屾暟鎹焊甯﹂棶棰樼殑澶勭悊銆傚寑鍙橀熺洿绾胯繍鍔紝閫熷害鍧囧寑鍙樺寲鐨勭洿绾胯繍鍔紝鍗冲姞閫熷害涓嶅彉鐨勭洿绾胯繍鍔ㄣ傚叾閫熷害鏃堕棿鍥捐薄鏄竴鏉″炬枩鐨勭洿绾匡紝琛ㄧず鍦ㄤ换鎰忕浉绛夌殑鏃堕棿鍐呴熷害鐨勫彉鍖栭噺閮界浉鍚岋紝鍗抽熷害锛坴锛夌殑鍙樺寲閲忎笌瀵瑰簲鏃堕棿锛...
