Study Notes
Real life graphs help solve problems using distance–time and speed–time graphs by interpreting travel data. They show how distance changes over time and can indicate speed, stationary points, and returns to the starting point.
- Distance–time graph — shows the distance travelled over time. Example: A graph showing James's cycling distance from home over time.
- Speed–time graph — shows speed over time and can be used to calculate distance. Example: A train journey graph showing speed changes over an hour.
- Gradient — indicates speed on a distance-time graph and acceleration on a speed-time graph. Example: The slope of a graph segment showing how quickly speed changes.
Exam Tips
Key Definitions to Remember
- Distance–time graph: A graph showing distance over time.
- Speed–time graph: A graph showing speed over time.
- Gradient: The slope of a graph, indicating speed or acceleration.
Common Confusions
- Confusing distance with speed on graphs.
- Misinterpreting the gradient as distance instead of speed or acceleration.
Typical Exam Questions
- How far was Monica from home at 09:06 hours? Read the distance from the graph at 09:06.
- Calculate the total distance of a journey using a speed-time graph. Use the area under the graph.
- At what times was Monica 800 m from home? Find the times on the graph where the distance is 800 m.
What Examiners Usually Test
- Ability to interpret and read data from graphs.
- Calculating speed, distance, and time using graph information.
- Understanding the significance of gradients and areas under graphs.