# 牛頓第一定律

## 方程式

${\displaystyle \sum _{i}\mathbf {F} _{i}=0\Rightarrow {\frac {\mathrm {d} \mathbf {v} }{\mathrm {d} t}}=0}$

• ${\displaystyle \mathbf {F} _{i}}$  係指第 ${\displaystyle i}$  個外力（而 ${\displaystyle \sum _{i}\mathbf {F} _{i}}$  係指所有外力加埋嘅總和）；
• ${\displaystyle \mathbf {v} }$  係舊物體嘅速度，${\displaystyle t}$ 時間，而 ${\displaystyle {\frac {\mathrm {d} \mathbf {v} }{\mathrm {d} t}}}$  指舊物體嘅速度隨時間改變嘅率－後者就即係所謂嘅加速度（Acceleration）。

• 唔郁嘅物體會保持唔郁，直至到有淨外力施加喺佢身上為止。
• 運動緊嘅物體，如果唔受外力或者受到嘅外力加埋係零，佢嘅速度嘅大細同方向（速度係一個包括數值同方向嘅向量）都唔會變，直到加喺呢舊物體上面嘅淨外力改變為止。

## 人類對慣性嘅認知史

### 中世紀尾橛

"Every body perseveres in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed thereon."

「每件物體會維持佢自身靜止或者均速直線運動嘅狀態，除非有啲乜嘢外力迫使佢改變自己嘅運動狀態。」

## 攷

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 牛頓運動定律 牛頓第一定律 | 牛頓第二定律 | 牛頓第三定律