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# Falling, impact and pain

**Gist.** An object without support falls with acceleration; falling from a height, it gains speed; a blow to the body hurts; pain is harm.

**Conditions and exceptions.** Something light and small (a feather) does almost no harm; a soft landing does not hurt.

**Examples.** Newton sits under a tree — an apple falls on his head — it hurts (design note: the robot should understand that an accelerating apple hitting your head is not pleasant).

**Sources.** Newton, "Principia" (1687): law of gravitation; kinematics: v = √(2gh), g ≈ 9.8 m/s².

```
fall: fall drop tumble
accelerate: accelerate speed
impact: hit strike land bump
body: head body arm leg
pain: pain hurt ache sore
harm: harm injury damage
```

```
fall -> accelerate : physics — without support a body falls with acceleration g ≈ 9.8 m/s²
accelerate -> impact : from height h the impact speed is v = √(2gh)
impact -> pain : a blow to the body hurts (world structure: the body feels pain)
pain -> harm : pain is harm (the value "do no harm")
```

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