sim_subset/projectile/7/formula_info.json

{
  "correct_letter": "A",
  "correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
  "annotation": "Environment: g=-9.81, F_drag=0.0\nGround: e = 0.4\nCopperSphere: d = 2.0, e = 0.45, h = 8.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 8.0, v_0 = (0.0, 12.0, 0.0)",
  "choices": [
    "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
    "ΔS = Q_rev / T",
    "x(t) = v_0·t·cosθ · (1 - g·t/v_0)",
    "h_next = e²·h_current"
  ],
  "correct_index": 0,
  "physics_type": "Projectile",
  "seed": "Projectile|benchmark/projectile/7"
}