自由落體運(yùn)動(dòng)課件

自由落體運(yùn)動(dòng)三門(mén)第二高級(jí)中學(xué)高中物理必修（Ⅰ）第二章第四節(jié)主講：劉保才自由落體運(yùn)動(dòng)三門(mén)第二高級(jí)中學(xué)高中物理必修（Ⅰ）第二1自由落體運(yùn)動(dòng)課件2探究過(guò)程一——自由落體運(yùn)動(dòng)問(wèn)題：重物體比輕物體下落快嗎?實(shí)驗(yàn)器材：不同硬幣、紙片探究過(guò)程一——自由落體運(yùn)動(dòng)問(wèn)題：重物體比輕物體下落快嗎?實(shí)驗(yàn)3實(shí)驗(yàn)探究實(shí)驗(yàn)１:將一枚硬幣和一張展開(kāi)的紙片從同一高度自由下落實(shí)驗(yàn)２：把一張紙片捏成紙團(tuán)，將紙團(tuán)和一張展開(kāi)的紙片從同一高度自由下落實(shí)驗(yàn)３：將一枚硬幣和一枚表面貼有紙片的硬幣從同一高度自由落下實(shí)驗(yàn)探究實(shí)驗(yàn)１:將一枚硬幣和一張展開(kāi)的紙片從同一高度自由下落4鐵球和輕的鐵球下落快慢相同實(shí)驗(yàn)演示鐵球和輕的鐵球下落快慢相同實(shí)驗(yàn)演示5如果物體只受重力作用(空氣阻力可忽略不計(jì)時(shí))，在同一高度靜止釋放不同物體,它們下落的快慢應(yīng)該相同，而與物體輕重?zé)o關(guān)結(jié)論：如果物體只受重力作用(空氣阻力可忽略不計(jì)時(shí))，在同一高度靜止6自由落體運(yùn)動(dòng)定義：物體只在重力作用下從靜止開(kāi)始下落的運(yùn)動(dòng)，叫做自由落體運(yùn)動(dòng)注意：在有空氣的空間里，如物體重力遠(yuǎn)遠(yuǎn)大于所受空氣阻力，此阻力可忽略不計(jì)，則物體下落的運(yùn)動(dòng)也可看作自由落體運(yùn)動(dòng)自由落體運(yùn)動(dòng)定義：物體只在重力作用下從靜止開(kāi)始下落的運(yùn)動(dòng)，叫7探究過(guò)程二——運(yùn)動(dòng)性質(zhì)軌跡——運(yùn)動(dòng)特征——加速?勻加速?直線探究過(guò)程二——運(yùn)動(dòng)性質(zhì)軌跡——運(yùn)動(dòng)特征——加速?勻加速?直線8檢驗(yàn)猜想根據(jù)頻閃照片記錄的各時(shí)刻小球位置，可直接判定軌跡為直線根據(jù)小球在不同時(shí)間里下落的位移的規(guī)律可判定是否是勻變速直線運(yùn)動(dòng)用給出的自由落體運(yùn)動(dòng)的頻閃照相圖片(頻閃時(shí)間間隔為1/25s)檢驗(yàn)猜想根據(jù)頻閃照片記錄的各時(shí)刻小球位置，可直接9自由落體運(yùn)動(dòng)課件10分組分析實(shí)驗(yàn)A分析頻閃照片小球的運(yùn)動(dòng)軌跡由頻閃照片讀取小球在不同時(shí)間里距初始位置的位移根據(jù)所給公式計(jì)算aB分組分析實(shí)驗(yàn)A分析頻閃照片小球的運(yùn)動(dòng)軌跡由頻閃照片讀取小球在11實(shí)驗(yàn)結(jié)果用直尺判定小球的運(yùn)動(dòng)軌跡ABC勻加速直線運(yùn)動(dòng)！加速度a的值實(shí)驗(yàn)結(jié)果用直尺判定小球的運(yùn)動(dòng)軌跡ABC勻加速12結(jié)論自由落體運(yùn)動(dòng)是初速度為零的勻加速直線運(yùn)動(dòng)同一地點(diǎn)一切物體下落的加速度都相同，方向豎直向下,這個(gè)加速度叫做自由落體加速度，也叫做重力加速度，通常用g表示結(jié)論自由落體運(yùn)動(dòng)是初速度為零的勻加速直13

地點(diǎn)

緯度重力加速(m·s-2)特點(diǎn)

赤道0°9.780

最小

廣州23°06′9.788

武漢30°33′9.794

上海31°12′9.794

東京35°43′9.798

北京39°56′9.801

紐約40°40′9.803

莫斯科55°45′9.816

北極90°9.832

最大地點(diǎn)緯度重力加速(m·s-2)特點(diǎn)赤道14基本公式:

V=gtH=gt2

例1：屋檐上水滴下落的過(guò)程可以近似地看作是自由落體運(yùn)動(dòng)。假定水滴從10m高的屋檐上無(wú)初速滴落，水滴下落到地面時(shí)的時(shí)間大約是多少？速度是多少？基本公式:例1：屋檐上水滴下落的過(guò)程可以近似地看作是自由落體15

例2：一塊自由下落的小石頭，經(jīng)過(guò)某點(diǎn)時(shí)的速度是9.8m/s,經(jīng)過(guò)另一點(diǎn)時(shí)的速度是39.2m／s,求這兩點(diǎn)間的距離和經(jīng)過(guò)這段距離所用的時(shí)間。 例2：一塊自由下落的小石頭，經(jīng)過(guò)某點(diǎn)時(shí)的速度是9.8m/s16自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（一）測(cè)反應(yīng)時(shí)間用一長(zhǎng)米尺，記錄下落位移，根據(jù)自由落體運(yùn)動(dòng)規(guī)律和已知的g值來(lái)計(jì)算反應(yīng)時(shí)間t自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（一）測(cè)反應(yīng)時(shí)間用一長(zhǎng)米尺，記錄下落位17?如何測(cè)反應(yīng)時(shí)間?如何測(cè)反應(yīng)時(shí)間18自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（二）如何測(cè)量懸崖、峽谷的高度測(cè)高度自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（二）如何測(cè)量懸崖、峽谷的高度測(cè)高度19??20

小結(jié)自由落體加速度(重力加速度)自由落體運(yùn)動(dòng)的規(guī)律自由落體運(yùn)動(dòng)規(guī)律的實(shí)際應(yīng)用作業(yè):課本P47(2)(3)自由落體運(yùn)動(dòng)的概念小結(jié)自由落體加速度(重力加速度)作217JaMePhTkWnZr$u*x+A2D5H8KcNfQiUlXo#s%v)y0B3F6I9LdOgSjVmYq!t&w-z1D4G7JbMePhTkWoZr$u(x+A2E5H9KcNfRiUlXp#s&v)y0C3F6IaLdPgSjVnYq!t*w-z1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9KcOfRjUmXp!s&v)z0C4F7IaMdPgSkVnZq$t*x-A1D5G8KbNeQiTlWo#r%v(y+B3E6H9LcOgRjUmYp!s&w)z1C4F7JaMdPhSkVnZq$u*x-A2D5G8KbNfQiTlXo#r%v(y0B3E6I9LcOgRjVmYp!t&w)z1C4G7JaMePhSkWnZr$u*x+A2D5H8KcNfQiUlXo#s%v)y0B3F6I9LdOgRjVmYq!t&w-z1C4G7JbMePhTkWnZr$u(x+A2E5H8KcNfRiUlXp#s%v)y0C3F6IaLdOgSjVnYq!t*w-z1D4G8JbMeQhTkWoZr$u(x+B2E5H9KcNfRiUmXp#s&v)y0C3F7IaLdPgSjVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQiTlWo#r%u(y+B3E6H9LcOfRjUmYp!s&w)z0C4F7JaMdPhSkVnZq$u*x-A2D5G8KbNfQiTlXo#r%v(y+B3E6I9LcOgRjUmYp!t&w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiUlXo#s%v(y0B3F6I9LdOgRjVmYq!t&w-z1C4G7JaMePhTkWnZr$u*x+A2E5H8KcNfQiUlXp#s%v)y0B3F6IaLdOgSjVmYq!t*w-z1D4G7JbMeQhTkWoZr$u(x+B2E5H9KcNfRiUmXp#s&v)y0C3F6IaLdPgSjVnYq!t*w-A1D4G8JbMeQhTlWoZr%u(x+B2E6H9KcOfRiUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9LcOfRjUmXp!s&w)z0C4F7IaMdPhSkVnZq$t*x-A2D5G8KbNeQiTlXo#r%v(y+B3E6I9LcOgRjUmYp!s&w)z1C4F7JaMdPhSkWnZq$u*x-A2D5H8KbNfQiTlXo#s%v(y0B3E6I9LdOgRjVmYp!t&w-z1C4G7JaMePhTkWnZr$u*x+A2E5H8KcNfQiUlXo#s%v)y0B3F6I9LdOgSjVmYq!t&w-z1D4G7JbMePhTk#s%v(y0B3E6I9LdOgRjVmYp!t&w-z1C4G7JaMePhSkWnZr$u*x+A2D5H8KcNfQiUlXo#s%v)y0B3F6I9LdOgSjVmYq!t&w-z1D4G7JbMePhTkWoZr$u(x+A2E5H9KcNfRiUlXp#s&v)y0C3F6IaLdOgSjVnYq!t*w-z1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUmXp!s&v)z0C4F7IaMdPgSkVnZq$t*x-A1D5G8KbNeQiTlWo#r%v(y+B3E6H9LcOgRjUmYp!s&w)z0C4F7JaMdPhSkVnZq$u*x-A2D5G8KbNfQiTlXo#r%v(y0B3E6I9LcSkVnZq$t*x-A1D5G8KbNeQiTlWo#r%v(y+B3E6H9LcOfRjUmYp!s&w)z0C4F7JaMdPhSkVnZq$u*x-A2D5G8KbNfQiTlXo#r%v(y0B3E6I9LcOgRjVmYp!t&w)z1C4G7JaMePhSkWnZ(y+B3E6H9LcOfRjUmYp!s&w)z0C4F7JaMdPhSkVnZq$u*x-A2D5G8KbNfQiTlXo#r%v(y0B3E6I9LcOgRjVmYp!t&w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiUlXo#s%v(y0B3F6I9PhSkVnZq$u*x-A2D5G8KbNfQiTlXo#r%v(y+B3E6I9LcOgRjUmYp!t&w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiUlXo#s%v(y0B3F6I9LdOgRjVmYq!t&w-z1C4G7JbMePhTkWnZr$u*x+A2E5H8KcNfQiUlXp#s%v)yF7JaMePhSkWnZq$u*x+A2D5H8KbNfQiUlXo#s%v(y0B3F6I9LdOgRjVmYp!t&w-z1C4G7JaMePhTkWnZr$u+B3E6I9LcOgRjUmYp!t&w)z1C4F7JaMePhSkWnZq$u*x+A2D5H8KbNfQiUlXo#s%v(y0B3E6I9LdOgRjVmYp!t&w-z1C4G7JaMePhTkWnZr$u*x+A2E5H8KcNfQiUlXp#s%v)y0B3F6IaLdOgSjVmYq!t*w-z1D4G7JbMePhTkWoZr$u(x+A2E5H9KcNfRip!t&w-z1C4G7JaMePhTkWnZr$u*x+A2E5H8KcNfQiUlXp#s%v)y0B3F6IaLdOgSjVmYq!t&w-z1D4G7JbMePhTkWoZr$u(x+A2E5H9KcNfRiUlXp#s&v)y0C3F6IaLdPgSjVnYq!t*w-A1D4G8JbMeUlXo#s%v)y0B3F6I9LdOgSjVmYq!t&w-z1D4G7JbMePhTkWoZr$u(x+A2E5H9KcNfRiUlXp#s&v)y0C3F6IaLdPgSjVnYq!t*w-A1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z4G7JbMePhTkWoZr$u(x+A2E5H9KcNfRiUlXp#s&v)y0C3F6IaLdOgSjVnYq!t*w-z1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8fRiUlXp#s%v)y0C3F6IaLdOgSjVnYq!t*w-z1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUm!t*w-z1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSjVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUmXp!s&v)z0C4F7IaMdPgSkVnZq$t*x-A1D5G8KbNeQiTlWo#r%0C3F7IaLdPgSjVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUmXp!s&v)z0C4F7IaMdPgSkVnZq$t*x-A1D5G8JbNeQiTlWo#r%u(y+B3E6H9LgSjVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQiTlWo#r%u(y+B3E6H9LcOfRjU$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRiUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQiTlWo#r%u(y+B3E6H9LcOfRjUmYp!s&w)z0C4F7JaMdPhSkVnZq$t*x-A2D5G8KbNeUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQiTlWo#r%u(y+B3E6H9LcOfRjUmXp!s&w)z0C4F7IaMdPhSkVnZq$t*x-A2D5G8KbRiUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQiTlWo#r%u(y+B2E6H9LcOfRjUmXp!s&w)z0C4F7IaMdPhSkVnZq$t*x-A2D5cOfRiUmXp!s&v)z0C3F7IaMdPgSkVnYq$t*x-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9LcOfRjUmXp!s&w)z0C4F7IaMdPhSkVnZq$t*x-A6H9KcOfRiUmXp!s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9LcOfRjUmXp!s&w)z0C4F7IaMdPhSkVnZq$t*x-A2D5G8KbNeQiTlWo#r%v(3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9LcOfRjUmXp!s&w)z0C4F7IaMdPhSkVnZq$t*x-A1D5G8KbNiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9LcOfRjUmXp!s&v)z0C4F7IaMdPgSkVnu(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWo#r%u(y+B2E6H9KcOfRjUmXp!s&v)z0C4F7IaMdPgWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSkVnYq$t*w-A1D5G8JbNeQhTlWoZr%u(y+B2E6H9KcOfRjUmXp!s&v)z0C4F7IaMdPkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)z0C3F7IaLdPgSjVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y+B2E6H9KcOfnYq!t*w-z1D4G8JbMeQhTkWoZr%u(x+B2E5H9KcOfRiUmXp#s&v)y0C3F7IaLdPgSjVnYq$t*w-A1D4G8JbNeQhTlWoZr%u(y3F6IaLdOgSjVnYq!t*w-z1D4G8JbMeQhTkWoZr$u(x+B2E5H9KcNfRiUmXp#s&v)y0C3F7IaLdPgSjVnYq$t*w-A1D4G8JbNeQhTlW%v)y0C3F6IaLdOgSjVnYq!t*w-z1D4G7JbMeQhTkWoZr$u(x+B2E5H9KcNfRiUmXp#s&v)y0C3F7IaLdPgSnZr$u(x+A2E5H8KcNfRiUlXp#s%v)y0B3F6IaLdOgSjVmYq!t*w-z1D4G7JbMeQhTkWoZr$u(x+B2E5H9KcNfRYq!t&w-z1C4G7JbMePhTkWnZr$u(x+A2E5H8KcNfQiUlXp#s%v)y0B3F6IaLdOgSjVmYq!t*w-z1D4G7JbMeQhTkWoZr$u(x+B2E5LdOgRjVmYq!t&w-z1C4G7JaMePhTkWnZr$u*x+A2E5H8KcNfQiUlXp#s%v)y0B3F6IaLdOgSjVmYq!x+A2D5H8K7JaMePhTkWnZr$u*x+A2D5H8KcNfQi22自由落體運(yùn)動(dòng)三門(mén)第二高級(jí)中學(xué)高中物理必修（Ⅰ）第二章第四節(jié)主講：劉保才自由落體運(yùn)動(dòng)三門(mén)第二高級(jí)中學(xué)高中物理必修（Ⅰ）第二23自由落體運(yùn)動(dòng)課件24探究過(guò)程一——自由落體運(yùn)動(dòng)問(wèn)題：重物體比輕物體下落快嗎?實(shí)驗(yàn)器材：不同硬幣、紙片探究過(guò)程一——自由落體運(yùn)動(dòng)問(wèn)題：重物體比輕物體下落快嗎?實(shí)驗(yàn)25實(shí)驗(yàn)探究實(shí)驗(yàn)１:將一枚硬幣和一張展開(kāi)的紙片從同一高度自由下落實(shí)驗(yàn)２：把一張紙片捏成紙團(tuán)，將紙團(tuán)和一張展開(kāi)的紙片從同一高度自由下落實(shí)驗(yàn)３：將一枚硬幣和一枚表面貼有紙片的硬幣從同一高度自由落下實(shí)驗(yàn)探究實(shí)驗(yàn)１:將一枚硬幣和一張展開(kāi)的紙片從同一高度自由下落26鐵球和輕的鐵球下落快慢相同實(shí)驗(yàn)演示鐵球和輕的鐵球下落快慢相同實(shí)驗(yàn)演示27如果物體只受重力作用(空氣阻力可忽略不計(jì)時(shí))，在同一高度靜止釋放不同物體,它們下落的快慢應(yīng)該相同，而與物體輕重?zé)o關(guān)結(jié)論：如果物體只受重力作用(空氣阻力可忽略不計(jì)時(shí))，在同一高度靜止28自由落體運(yùn)動(dòng)定義：物體只在重力作用下從靜止開(kāi)始下落的運(yùn)動(dòng)，叫做自由落體運(yùn)動(dòng)注意：在有空氣的空間里，如物體重力遠(yuǎn)遠(yuǎn)大于所受空氣阻力，此阻力可忽略不計(jì)，則物體下落的運(yùn)動(dòng)也可看作自由落體運(yùn)動(dòng)自由落體運(yùn)動(dòng)定義：物體只在重力作用下從靜止開(kāi)始下落的運(yùn)動(dòng)，叫29探究過(guò)程二——運(yùn)動(dòng)性質(zhì)軌跡——運(yùn)動(dòng)特征——加速?勻加速?直線探究過(guò)程二——運(yùn)動(dòng)性質(zhì)軌跡——運(yùn)動(dòng)特征——加速?勻加速?直線30檢驗(yàn)猜想根據(jù)頻閃照片記錄的各時(shí)刻小球位置，可直接判定軌跡為直線根據(jù)小球在不同時(shí)間里下落的位移的規(guī)律可判定是否是勻變速直線運(yùn)動(dòng)用給出的自由落體運(yùn)動(dòng)的頻閃照相圖片(頻閃時(shí)間間隔為1/25s)檢驗(yàn)猜想根據(jù)頻閃照片記錄的各時(shí)刻小球位置，可直接31自由落體運(yùn)動(dòng)課件32分組分析實(shí)驗(yàn)A分析頻閃照片小球的運(yùn)動(dòng)軌跡由頻閃照片讀取小球在不同時(shí)間里距初始位置的位移根據(jù)所給公式計(jì)算aB分組分析實(shí)驗(yàn)A分析頻閃照片小球的運(yùn)動(dòng)軌跡由頻閃照片讀取小球在33實(shí)驗(yàn)結(jié)果用直尺判定小球的運(yùn)動(dòng)軌跡ABC勻加速直線運(yùn)動(dòng)！加速度a的值實(shí)驗(yàn)結(jié)果用直尺判定小球的運(yùn)動(dòng)軌跡ABC勻加速34結(jié)論自由落體運(yùn)動(dòng)是初速度為零的勻加速直線運(yùn)動(dòng)同一地點(diǎn)一切物體下落的加速度都相同，方向豎直向下,這個(gè)加速度叫做自由落體加速度，也叫做重力加速度，通常用g表示結(jié)論自由落體運(yùn)動(dòng)是初速度為零的勻加速直35

地點(diǎn)

緯度重力加速(m·s-2)特點(diǎn)

赤道0°9.780

最小

廣州23°06′9.788

武漢30°33′9.794

上海31°12′9.794

東京35°43′9.798

北京39°56′9.801

紐約40°40′9.803

莫斯科55°45′9.816

北極90°9.832

最大地點(diǎn)緯度重力加速(m·s-2)特點(diǎn)赤道36基本公式:

V=gtH=gt2

例1：屋檐上水滴下落的過(guò)程可以近似地看作是自由落體運(yùn)動(dòng)。假定水滴從10m高的屋檐上無(wú)初速滴落，水滴下落到地面時(shí)的時(shí)間大約是多少？速度是多少？基本公式:例1：屋檐上水滴下落的過(guò)程可以近似地看作是自由落體37

例2：一塊自由下落的小石頭，經(jīng)過(guò)某點(diǎn)時(shí)的速度是9.8m/s,經(jīng)過(guò)另一點(diǎn)時(shí)的速度是39.2m／s,求這兩點(diǎn)間的距離和經(jīng)過(guò)這段距離所用的時(shí)間。 例2：一塊自由下落的小石頭，經(jīng)過(guò)某點(diǎn)時(shí)的速度是9.8m/s38自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（一）測(cè)反應(yīng)時(shí)間用一長(zhǎng)米尺，記錄下落位移，根據(jù)自由落體運(yùn)動(dòng)規(guī)律和已知的g值來(lái)計(jì)算反應(yīng)時(shí)間t自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（一）測(cè)反應(yīng)時(shí)間用一長(zhǎng)米尺，記錄下落位39?如何測(cè)反應(yīng)時(shí)間?如何測(cè)反應(yīng)時(shí)間40自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（二）如何測(cè)量懸崖、峽谷的高度測(cè)高度自由落體運(yùn)動(dòng)的實(shí)際應(yīng)用（二）如何測(cè)量懸崖、峽谷的高度測(cè)高度41??42

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