April 2014
Beginner to intermediate
830 pages
15h 21m
Chinese
Content preview from Mathematica 錦囊妙計
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13.7 運動學問題求解
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523
[Page-524]
13.7 運動學問題求解
問題點
你想演練運動學中的常見問題，例如在大學一年級所遇到的普通物理習題。
ch13.indd 523 2014/4/2 下午 02:31:03
524
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第十三章
解決方案
以下是幾個基本的運動學公式。
這些公式足以解決許多運動學問題。例如手槍以 800 m/s 的速度水平發射子彈，若忽略
空氣阻力與風速等其他因素，則子彈於 500 m 處掉落的高度為何？
子彈飛行時的水平速度並無改變，以此計算其飛行 500 m 所耗時間。
接著垂直方向以 9.8 m/s
2
的加速度朝向地面，由垂直初速度為零及飛行時間可計算子彈
下降的高度。[Page-525]
子彈將下降約 2 m。
討論說明
以上的解法先計算水平分量，再將其結果運用至垂直分量求解，但多數問題需使用向量
同時處理各分量速度。以下模擬一個可移動的加農炮，射擊目標為可移動的標靶，而標
靶大小可調整。
ch13.indd 524 2014/4/2 下午 02:31:04
13.7
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