New
New
Year 8

Reading distance-time graphs

I can read values of distance and time from graphs and use them to calculate speed.

New
New
Year 8

Reading distance-time graphs

I can read values of distance and time from graphs and use them to calculate speed.

Lesson details

Key learning points

  1. The labels on a graph describe what it shows.
  2. The numbers on the scale of a graph go up in equal amounts.
  3. The value of each small division is the value of a large division divided by the number of small divisions it contains.
  4. Each point on a distance-time graph describes where an object is at a point in time (not its speed).
  5. The speed of an object can be found from distance and time information read from a distance-time graph.

Common misconception

Pupils often interpret distance-time graphs (intuitively) as pictures.

Guide pupils step by step through interpreting d-t graphs and link each line with a motion (repeatedly).

Keywords

  • Distance-time graph - A distance-time graph is used to show how far an object has travelled over a period of time.

  • Axis - The horizontal axis on a distance-time graph shows the time and the vertical axis shows the distance.

  • Scale - Each axis has a scale which shows the variable name and the minimum and maximum values.

  • Division - Scales are marked with divisions so that values can be read from the distance-time graph.

  • Average speed - The overall distance travelled divided by overall time for a journey.

Students find interpreting d-t graphs difficult so model movement, towards and away from a point, as much as possible. "Live" graph distance sensors are very useful and can show different gradients for different speeds.
Teacher tip

Content guidance

  • Risk assessment required - equipment

Supervision

Adult supervision required

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.
Match the symbol for the unit with the property it is used to measure.
Correct Answer:km,distance

distance

Correct Answer:s,time

time

Correct Answer:kg,mass

mass

Correct Answer:km/h,speed

speed

Correct Answer:N,force

force

Q2.
Which two pieces of equipment could be used to find the speed of a trolley rolling down a ramp?
balance
Correct answer: stopwatch
thermometer
newton meter
Correct answer: tape measure
Q3.
Calculate the distance a bicycle travelling at 6.0 m/s will travel in 30 s.
5 m
24 m
36 m
Correct answer: 180 m
1800 m
Q4.
A runner completes an 800 m race with an average speed of 6.4 m/s. How long did it take to finish the race?
6.4 s
Correct answer: 125 s
793.6 s
806.4 s
5120 s
Q5.
A trolley is rolled a distance of 3.0 m, taking 6.0 s to cover the distance. What is the average speed of the trolley?
Correct answer: 0.5 m/s
2.0 m/s
3.0 m/s
6.0 m/s
9.0 m/s
Q6.
Starting with the fastest, put the values in order of average speed.
1 - A motorcycle that travels 255 m in 15 s
2 - A lorry that travels 500 m in 40 s
3 - A car that travels 200 m in 20 s
4 - A scooter that travels 30 m in 5 s
Q2 image 1 UYSEG Q2 image 2 UYSEG Q2 image 4 UYSEG

6 Questions

Q1.
Match the keyword to the description.
An image in a quiz
Correct Answer:distance-time graph,Shows the distance something has moved at each moment.

Shows the distance something has moved at each moment.

Correct Answer:axis,Horizontal or vertical line showing the variable names.

Horizontal or vertical line showing the variable names.

Correct Answer:scale,Numbers on an axis showing the minimum and maximum values.

Numbers on an axis showing the minimum and maximum values.

Correct Answer:division,Lines on an axis to allow values to be read from a graph.

Lines on an axis to allow values to be read from a graph.

Correct Answer:average speed,Distance moved by an object, divided by the time taken.

Distance moved by an object, divided by the time taken.

Q2.
What distance has this object travelled after 3 s? Don’t forget to provide the unit in your answer.
An image in a quiz
Correct Answer: 4 m, 4.0 m, 4.0 metres, 4 metres, four metres
Q3.
Which feature of this graph shows that the object is travelling at a constant speed?
An image in a quiz
The scale is even.
The axes are labelled correctly.
The divisions are the same size on both axes.
Correct answer: The line joining the points is straight.
The maximum distance was 5 m.
Q4.
How long does it take for this object to travel 5 m? Give your answer to one decimal place. Don’t forget to provide the unit in your answer.
An image in a quiz
Correct Answer: 3.6 s, 3.6 seconds, 3.6 second, 3.6s, 3.6seconds
Q5.
Use the graph to find the average speed of this object.
An image in a quiz
5 m/s
4 m/s
3 m/s
2 m/s
Correct answer: 0.8 m/s
Q6.
What distance does this object travel between 1 s and 4 s? Don’t forget to provide the unit in your answer.
An image in a quiz
0.8 m
1.6 m
Correct answer: 2.4 m
3.0 m
3.2 m
Q1 UYSEG Q2 UYSEG Q3 UYSEG Q4 UYSEG Q5 UYSEG Q6 UYSEG