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