{ "correct_letter": "C", "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 = 6.0, v_0 = (0.0, 2.0, 6.0)\nSilverSphere: d = 2.0, e = 0.4, h = 3.0, v_0 = (0.0, 8.0, 4.0)", "choices": [ "y = h·cos(g·x / v_0²) + x·tanθ", "L = I·ω", "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "m·g·h + (1/2)·m·v_0² = constant" ], "correct_index": 2, "physics_type": "Projectile", "seed": "Projectile|benchmark/projectile/12" }