{ "correct_letter": "D", "correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "annotation": "Environment: g=9.81, F_drag=!=0\nGround: e=0.5\nBaseball: d = 0.07, e = 0.55, h = 1.07, v_0 = 1.68", "choices": [ "F = G·m_1·m_2 / r²", "a_n = v² / ρ", "t_flight = 2·v_0·sin²θ / g", "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)" ], "correct_index": 3, "physics_type": "Projectile", "seed": "Projectile|Gravity/Projectile/13", "is_realworld": true, "dropped_wrong_formulas": [ "F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)" ] }