task_physics__motion_graph__average_speed_value

Summary

• Domain: physics
• Scene id: motion_graph
• Implementation scene: motion_graph
• Implementation source: src/trace_tasks/tasks/physics/motion_graph/average_speed_value.py

Task Contract

Computes the integer average speed over a marked interval on a distance-time graph.

Program Contract

Program: integer((d_end - d_start) / (t_end - t_start)); scene=motion_graph; scope=average_speed_value

Candidate set: the visible graph curve, marked interval, axis scales, labels, and option cells when present inside the average_speed_value objective scope. Operands: marked_distance_time_graph_interval (semantic_role, allowed highlighted_time_interval_with_local_distance_curve_segment, source program_schema_concrete); axis_scale (query_operand, allowed visible_time_and_distance_axis_scale, source program_schema_concrete). Operation: evaluate integer over the candidate set using the visible quantities, relations, branch semantics, and formulas encoded in the program expression; generation enforces a unique final answer. Output binding: answer uses the integer schema; The answer value is the average speed in m/s over the marked interval. Annotation witnesses: segment witnesses from the finalized render. Annotation value: [[x0, y0], [x1, y1]] for the marked distance-time graph segment, where each endpoint is a [x, y] pixel point. Annotation must mark the minimal visual segment witness for the marked interval. It must not mark option boxes, decorative graph chrome, broad axis-scale regions, or derived answer text. Query ids: single.

Reasoning Operations

Families: formula_evaluation

Query Branches

Query id	Program schema
single	integer(average_speed(marked_distance_time_graph_interval)); scene=motion_graph; scope=average_speed_value

Program Metadata

• Program signatures: physics.motion_graph_average_speed_value
• Base program contract: integer((d_end - d_start) / (t_end - t_start)); scene=motion_graph; scope=average_speed_value
• Parameter axes: scene_variant, average_speed_m_s, interval_width
• Arguments:
• marked_distance_time_graph_interval: semantic_role; allowed highlighted_time_interval_with_local_distance_curve_segment; source program_schema_concrete
• axis_scale: query_operand; allowed visible_time_and_distance_axis_scale; source program_schema_concrete
• Argument metadata status: curated
• Supported query_ids: single

Answer Contract

• Answer schema: integer
• Generator answer_gt.type: integer
• The answer value is the average speed in m/s over the marked interval.

Annotation Contract

• Annotation schema: segment
• Generator annotation_gt.type: segment
• Annotation value: [[x0, y0], [x1, y1]] for the marked distance-time graph segment, where each endpoint is a [x, y] pixel point.
• Annotation must mark the minimal visual segment witness for the marked interval. It must not mark option boxes, decorative graph chrome, broad axis-scale regions, or derived answer text.
• Annotation and answer must be projected from the same generated execution trace, not inferred from pixels or prompt text.

Prompt And Trace Requirements

• Prompt text must come from the physics motion-graph v1 prompt bundle, with scene and task/query layers selected deterministically and recorded in metadata.
• The public query_id is single.
• Render randomness, sampled fonts/styles, marked interval, distance values, and verifier payloads must be explicit in the instance trace.
• Diagrams must keep axis labels, the marked interval, local segment, and scale readable.