Lesson

Travel graphs are used to show an object's change in distance over time. The horizontal axis shows time and the vertical axis shows distance.

We can determine how fast something is going based on how steep the line is. If a certain part of the line is very steep then the object is moving faster. If the line is going horizontally, then time is passing but the distance isn't changing, which means that the object isn't moving. If the line is sloping down this means the object is travelling back to the origin.

The student is driven away from school in the first line shown. The line then gets steeper, so the student is travelling faster away from school. At the $5$5 minute mark the car stops moving for $2$2 minutes, shown by the horizontal line. The car then starts travelling back towards school.

Summary

Travel graphs show how far an object is from a point, and how that changes over time. It also shows how fast an object might be moving based on the distance it has travelled in a that amount of time.

Paul is driving his child home from school. After $5$5 minutes, the car slows down.

Which travel graph represents this journey?

ABCDABCD

The Weber family travel $600$600 km every year for their annual holidays.

Their distance from home on the trip this year is given in this travel graph:

When did they stop for a break?

1 hours into the journey

A5 hours into the journey

B4 hours into the journey

C2 hours into the journey

D1 hours into the journey

A5 hours into the journey

B4 hours into the journey

C2 hours into the journey

DHow far from their destination were they after $2$2 hours?

Select the two time periods when they were travelling at the same speed.

From $3$3 to $5$5 hours

AThe final $3$3 hours

BThe first $2$2 hours

CFrom $2$2 to $3$3 hours

DFrom $3$3 to $5$5 hours

AThe final $3$3 hours

BThe first $2$2 hours

CFrom $2$2 to $3$3 hours

D

creates and displays number patterns; graphs and analyses linear relationships; and performs transformations on the Cartesian plane

performs calculations of time that involve mixed units, and interprets time zones