apple-pi / sim_subset /freefall /6 /formula_info.json
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{
"correct_letter": "C",
"correct_formula": "y(t) = h + v_0·t + (1/2)·g·t²",
"annotation": "Environment: g=-9.8, F_drag=0.0\nGround: e = 0.4\nBronzeAntiqueSphere: d = 2.0, e = 0.45, h = 13.0, v_0 = 0.0\nAgingCopperSphere: d = 2.0, e = 0.5, h = 16.0, v_0 = 0.0",
"choices": [
"v_final = -e·v_impact",
"F_fall = m·g·(1 + v/c) / √(1 - v²/c²)",
"y(t) = h + v_0·t + (1/2)·g·t²",
"n_1·sinθ_1 = n_2·sinθ_2"
],
"correct_index": 2,
"physics_type": "FreeFall",
"seed": "FreeFall|benchmark/freefall/6"
}