realworld_subset/Gravity/Projectile/49/formula_info.json

{
  "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 = 1.15, v_0 = 1.60",
  "choices": [
    "R = v_0²·sin(2θ) / (g·cos²θ)",
    "L = I·ω",
    "m·g·h + (1/2)·m·v_0² = constant",
    "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)"
  ],
  "correct_index": 3,
  "physics_type": "Projectile",
  "seed": "Projectile|Gravity/Projectile/49",
  "is_realworld": true,
  "dropped_wrong_formulas": [
    "F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)"
  ]
}