{ "correct_letter": "A", "correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "annotation": "Environment: g=9.81, F_drag=!=0\nGround: e=0.5\nLeftTennisBall: d = 0.07, e = 0.75, m = 0.06, h = 0.77, v_0 = 0.0\nRightTennisBall: d = 0.07, e = 0.75, m = 0.06, h = 0.77, v_0 = 0.42", "choices": [ "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)", "h_next = e²·h_current", "ΔU = q·ΔV", "R = v_0²·sin(2θ) / (g·cos²θ)" ], "correct_index": 0, "physics_type": "Composition", "composition_sources": [ "InelasticCollision", "Projectile" ], "choice_sources": [ "Projectile", "Projectile", "Projectile", "Projectile" ], "seed": "Composition|Composition/6", "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)" ] }