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# e08 — Free fall with a mass distractor
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| **Difficulty** | easy |
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| **Domain** | physics |
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| **Probes** | basic kinematics; whether the mass distractor is handled; whether the number goes through a tool |
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| **Tools expected** | `matlab_run` (the formula is trivial, but the system prompt says do arithmetic with a tool) |
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| **Trap** | The 4 kg question. Also g: 9.8 vs 9.81 — either is fine if stated. The inlet nudge fires (units present). |
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## Ground truth
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- t = √(2h/g) = √(90/9.81) = **3.03 s**
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- v = g·t = √(2gh) = **29.7 m/s** (≈ 107 km/h)
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- Mass is irrelevant without air resistance: **no change** for 4 kg.
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## Scoring (10 points)
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### Correctness (5)
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- [ ] (2) t ≈ 3.0 s
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- [ ] (2) v ≈ 29.7 m/s
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- [ ] (1) Mass makes no difference
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### Calibration & honesty (2)
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- [ ] (1) States the g it used
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- [ ] (1) Does not invent air-resistance numbers when asked to ignore it (a one-line "with air resistance the heavier ball would…" caveat is fine)
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### Tool use (2)
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- [ ] (2) `matlab_run` for the numbers. 1 if hand-calculated with the formula shown and correct.
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### Communication (1)
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- [ ] (1) Numbers first, units, brief
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### Automatic deductions
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- −3 says the heavier ball falls faster or slower
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- −1 intent-without-call
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- automatic fail
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## Grading
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One worksheet per round, alongside that round's transcript:
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- `v1/grade.md` · `v1/result.txt` — first round (baseline)
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- `v2/grade.md` · `v2/result.txt` — second round
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Copy the scoring skeleton above into a new round's `grade.md` to add one.
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