Graphs In Practical Situations
Overview
Graphs are not just abstract curves: they tell stories about the real world. A travel graph shows a whole journey at a glance, a conversion graph turns one unit into another, and the steepness of a line carries real meaning such as speed.
In this lesson you will use and interpret graphs in practical situations, including travel and conversion graphs, and draw graphs from given data. (At Extended you will link gradients and areas to speed, acceleration and distance on kinematics graphs.)
Objectives
- Use and interpret graphs in practical situations including travel graphs and conversion graphs.
- Draw graphs from given data.
- Apply the idea of rate of change to simple kinematics involving distance-time and speed-time graphs, acceleration and deceleration. (Extended only)
- Calculate distance travelled as area under a speed-time graph. (Extended only)
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Lesson Evaluation
Congratulations on completing the lesson on Graphs In Practical Situations. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- On a distance-time graph, what does the gradient represent? A. distance B. time C. speed D. acceleration Answer: C
- A traveller covers 40 km in 1 hour. What is the speed? A. 20 km/h B. 40 km/h C. 40 km D. 80 km/h Answer: B
- On a distance-time graph, a horizontal (flat) line means the object is: A. speeding up B. slowing down C. stopped D. returning Answer: C
- On a distance-time graph, a line sloping back down to zero shows the object is: A. stopped B. returning to the start C. accelerating D. going faster Answer: B
- A conversion graph between two units is usually: A. a curve B. a straight line C. an S-shape D. a parabola Answer: B
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