{ "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" }