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AQA · GCSE · Physics · Higher

Distance from a Velocity–Time Graph

Q07.1 3 marks

Figure 12 shows a velocity–time graph for a train travelling between two stations.

Figure 12
Figure 12

Figure 12

Enlarged question image

Figure 12

Determine the distance travelled by the train in the first 600 s of the journey.

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Marking points

  1. 1 Calculates the triangular area under the acceleration section.
  2. 2 Calculates the rectangular area under the constant-velocity section to 600 s.
  3. 3 Adds the component areas to give 27 440 m, with official consequential marking.

Full-mark answer

Distance is the area under the graph. Triangle: ½ × 56 × 220 = 6160 m. Rectangle: 56 × (600 − 220) = 56 × 380 = 21 280 m. Total = 27 440 m.

Why this answer loses marks

Uses only the rectangular part under the graph.

The requested interval also includes the initial triangular area, and both component areas must be added.