{ "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\nTennisBall: d = 0.07, e = 0.75, m = 0.06, h = 0.77, v_0 = 0.0\nSteelBall: d = 0.04, e = 0.6, m = 0.26, h = 0.77, v_0 = 1.12", "choices": [ "v_cm = (m_1·v_1i² + m_2·v_2i²) / (m_1·v_1i + m_2·v_2i)", "T = 2π·√(m/k)", "h_next = e²·h_current", "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)" ], "correct_index": 3, "physics_type": "Composition", "composition_sources": [ "InelasticCollision", "Projectile" ], "choice_sources": [ "InelasticCollision", "InelasticCollision", "Projectile", "Projectile" ], "seed": "Composition|Composition/0", "is_realworld": true, "dropped_wrong_formulas": [ "InelasticCollision: W_f = ∫ μ_k·m·g·ds = ΔE_k", "Projectile: F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)" ] }