{ "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 = 6.0, v_0 = (0.0, 8.0, 0.0)\nSilverSphere: d = 2.0, e = 0.4, h = 10.0, v_0 = (0.0, 8.0, 0.0)", "choices": [ "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "a_n = v² / ρ", "t_flight = 2·v_0·sin²θ / g", "L = I·ω" ], "correct_index": 0, "physics_type": "Projectile", "seed": "Projectile|benchmark/projectile/8" }