realworld_subset/Gravity/Projectile/47/formula_info.json

{
  "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\nTennisBall: d = 0.07, e = 0.75, h = 1.1, v_0 = 2.12",
  "choices": [
    "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
    "a_n = v² / ρ",
    "y_max = v_0²·sin²θ / (2·g·cosθ)",
    "F = G·m_1·m_2 / r²"
  ],
  "correct_index": 0,
  "physics_type": "Projectile",
  "seed": "Projectile|Gravity/Projectile/47",
  "is_realworld": true,
  "dropped_wrong_formulas": [
    "F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)"
  ]
}