New
New
Year 11
Higher

Non-linear distance-time graphs

I can interpret non-linear distance-time graphs.

New
New
Year 11
Higher

Non-linear distance-time graphs

I can interpret non-linear distance-time graphs.

Lesson details

Key learning points

  1. Speed may not always be constant.
  2. Acceleration may not always be constant.
  3. Depending on the variables, multiple graphs can represent the same journey.

Common misconception

Pupils may think a horizontal line on a speed-time means the object is stationary.

The $$y$$ axis is plotting speed so a horizontal line means the speed has not changed in that time. But this can be at any speed. Pupils need to double check axes to know what sort of graph they are using.

Keywords

  • Speed - Speed is the rate at which something is moving. It is measured as the distance travelled per unit of time.

  • Acceleration - Acceleration is the rate of change of speed with respect to time.

  • Deceleration - Deceleration is the rate at which the speed of an object is decreasing.

The first problem solving lesson in this unit (lesson 16) explores the concept of different graphs for the same journey in more detail. Groups working on higher tier content may wish to explore that lesson before moving onto lessons which explore higher only content.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
The gradient of this line is .
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Correct Answer: 5
Q2.
This distance-time graph shows an object moving at constant speed. The object is travelling at m/s.
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Correct Answer: 15
Q3.
Which of these represents constant non-zero speed?
Horizontal line on a displacement-time graph.
Correct answer: Horizontal line on speed-time graph (not along the $$x$$-axis).
Correct answer: Diagonal line with positive gradient on a displacement-time graph.
Correct answer: Diagonal line with negative gradient on a displacement-time graph.
Diagonal line with positive gradient on a speed-time graph.
Q4.
What does a line segment with negative gradient represent on a speed-time graph?
Travelling down hill at a constant speed.
Travelling towards a fixed start point at a constant speed.
Object's speed is increasing.
Correct answer: Object is decelerating.
Object has moved past the start point in the opposite direction.
Q5.
The speed-time graph shows the first 20 seconds of an object's journey. How long was the object stationary during this time?
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Correct Answer: 3 seconds, 3 secs
Q6.
The speed-time graph shows the first 20 seconds of an object's journey. How long was the object decelerating for?
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Correct Answer: 5 seconds, 5 secs

6 Questions

Q1.
This distance-time graph shows the journey of an object. Match up the stages of the graph labelled a)-e) with the stages of the journey.
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Correct Answer:a),Fastest constant speed

Fastest constant speed

Correct Answer:b),Object decelerating

Object decelerating

Correct Answer:c),Object stationary

Object stationary

Correct Answer:d),Object's speed is increasing

Object's speed is increasing

Correct Answer:e),Slowest section of (non-zero) constant speed

Slowest section of (non-zero) constant speed

Q2.
Which of these is the correct distance-time graph for the journey shown on this speed-time graph?
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Correct Answer: An image in a quiz
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Q3.
Which of these is the correct speed-time graph for the journey shown on this distance-time graph?
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Correct Answer: An image in a quiz
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Q4.
Which of these graphs could show an object decelerating until stopped?
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Correct Answer: An image in a quiz
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Correct Answer: An image in a quiz
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Q5.
Which speed-time graph could show the same journey as this distance-time graph?
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Correct Answer: An image in a quiz
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Q6.
Which of these graphs show speed increasing (positive acceleration)?
Correct Answer: An image in a quiz
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Correct Answer: An image in a quiz
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Correct Answer: An image in a quiz
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