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Add realworld_subset/Gravity/Projectile/25

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realworld_subset/Gravity/Projectile/25/annotation.txt ADDED
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+ Environment: g=9.81, F_drag=!=0
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+ Ground: e=0.5
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+ LeftBaseball: d = 0.07, e = 0.55, h = 1.4, v_0 = 5.35
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+ RightBaseball: d = 0.07, e = 0.55, h = 1.2, v_0 = 3.45
realworld_subset/Gravity/Projectile/25/annotation_config.json ADDED
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+ {
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+ "environment": {
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+ "air_resistance": "!=0",
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+ "gravity": 9.81
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+ },
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+ "ground": {
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+ "label": "Ground",
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+ "restitution": 0.5
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+ },
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+ "objects": [
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+ {
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+ "height": 1.4,
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+ "id": 1,
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+ "initial_velocity_u": 4.156696,
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+ "initial_velocity_v": 3.363368,
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+ "name": "LeftBaseball",
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+ "restitution": 0.55,
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+ "size": 0.07,
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+ "size_symbol": "d",
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+ "static": false
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+ },
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+ {
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+ "height": 1.2,
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+ "id": 2,
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+ "initial_velocity_u": 2.645862,
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+ "initial_velocity_v": 2.212405,
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+ "name": "RightBaseball",
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+ "restitution": 0.55,
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+ "size": 0.07,
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+ "size_symbol": "d",
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+ "static": false
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+ }
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+ ],
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+ "render": {
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+ "axes_arrow_head_width": 20,
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+ "axes_arrow_length": 75,
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+ "axes_arrow_width": 8,
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+ "fontsize": 20,
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+ "margin_axes_range": [
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+ 5,
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+ 50
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+ ],
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+ "margin_env_range": [
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+ 5,
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+ 50
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+ ],
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+ "margin_ground_range": [
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+ 5,
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+ 50
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+ ],
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+ "velocity_arrow_head_width": 30,
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+ "velocity_arrow_length": 100,
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+ "velocity_arrow_width": 10
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+ },
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+ "task_type": "projectile"
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+ }
realworld_subset/Gravity/Projectile/25/formula_info.json ADDED
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+ {
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+ "correct_letter": "D",
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+ "correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
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+ "annotation": "Environment: g=9.81, F_drag=!=0\nGround: e=0.5\nLeftBaseball: d = 0.07, e = 0.55, h = 1.4, v_0 = 5.35\nRightBaseball: d = 0.07, e = 0.55, h = 1.2, v_0 = 3.45",
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+ "choices": [
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+ "E_n = -13.6/n² eV",
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+ "v_x(t) = v_0·cosθ · e^(-g·t/v_0)",
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+ "m·g·h + (1/2)·m·v_0² = constant",
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+ "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)"
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+ ],
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+ "correct_index": 3,
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+ "physics_type": "Projectile",
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+ "seed": "Projectile|Gravity/Projectile/25",
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+ "is_realworld": true,
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+ "dropped_wrong_formulas": [
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+ "F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)"
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+ ]
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+ }
realworld_subset/Gravity/Projectile/25/initial_state/initial_velocity.json ADDED
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+ "video_path": "data/processed/Gravity/Projectile/25/rgb/video.mp4",
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+ "fps": 30.0,
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+ "scale_px": 24.0,
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+ "scale_meters": 0.073,
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+ "meters_per_pixel": 0.003042,
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+ "velocities": {
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+ "1": {
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+ "u_ms": 4.156696,
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+ "v_ms": 3.363368,
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+ "speed_ms": 5.346996,
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+ "du_px": 45.5528,
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+ "dv_px": 36.8588,
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+ "static": false
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+ "2": {
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+ "u_ms": 2.645862,
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+ "v_ms": 2.212405,
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+ "speed_ms": 3.448959,
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+ "du_px": 28.9957,
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+ "dv_px": 24.2455,
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+ "static": false
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+ }
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+ }
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+ }
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realworld_subset/Gravity/Projectile/25/instantaneous_velocity/velocity.json ADDED
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