Åk 6–9
 
English/Svenska

4.7 Distance-Time Diagrams
A distance-time diagram is a linear diagram which shows the correlation between distance and time.  One usual example is the diagram which shows how one or more people move during a certain time.

If Fredrik cycles with a constant speed between point A and B, the diagram should look like this.


In this diagram, we also see Ingela who is cycling faster than Fredrik and arrives at point B more quickly.  She then stands still and waits for Fredrik.  That she is standing still, we can see by looking at the value on the y-axis.  The distance doesn’t change while at the same time, the value of the x-axis, time, does change.


Now there is Noah in the diagram.  We can see that he first cycles slowly.  He begins then to cycle more quickly and reaches point B at the same time as Fredrik.  When the line’s slope is steeper, this means that the change in the y-axis increase in correlation to the change on the x-axis.  This means that the person covers a longer stretch during a shorter time.





 



Below are five different stories:

1

Per downhill skis down a slalom slope and goes faster and faster the whole time.  Finally, Per stops because it is too fast.

 
A
2

Alice is cycling to football practice.  When she has cycled a bit, she remembers that she has forgotten her mobile telephone and turns around to go home.  She is running short on time, so Alice cycles faster than usual to practice.


 
B
3

Erik is out running.  He is doing interval training and this means that he runs a stretch, rests, runs again and so forth.

 
C
4

Eva is driving her car to work.  It is motorway almost the whole way and she can drive 110 km/h. A few times, she needs to slow down to 70 km/h.

 
D
5

Nils is sick today and spends all day in bed playing Xbox360.

 
E