Distance-time graphs are a way to describe the movement of people or objects. They usually describe a trip that leaves and returns to a point (like a home base).
The vertical axis of a distance-time graph is the distance travelled from a starting point and the horizontal axis is the time taken from the starting point. In most graphs that depict time, time is on the horizontal ($x$x) axis.
There are certain important features of a distance-time graph that we can use to interpret the journey being described.
Now let's look at some worked examples working with distance-time graphs.
Ben travels forwards and backwards along a straight line.
The graph shows Ben's distance from his starting point at various times of the day.
When did Ben start his journey?
How far did Ben travel by $11$11 am?
What happened to Ben's speed at $11$11 am?
Evaluate Ben's speed between $11$11 am and $1$1 pm.
What distance did Ben travel between $1$1 pm and $2$2 pm?
What is the furthest distance travelled from the starting point?
What is the total distance travelled by Ben from $9$9 am to $4$4 pm?
Which graph shows the height of a ball being thrown vertically into the air?
These ideas are easily extended into other areas. So imagine if we replaced distance with height, volume or depth.
Relate graphs, tables, and equations to linear, quadratic, and simple exponential relationships found in number and spatial patterns
Investigate relationships between tables, equations and graphs