Using graphs is not just about reading off values. In real-life contexts, the intercept, gradient and area underneath the graph can have important meanings such as a fixed charge, speed or distance.

Which distance time graph represents a journey consisting of a fast walk, rest, then a slow walk back to the start?

The graph shows the depth of bath water over a period of time.

What might be happening during section B?

A person gets into the bath

A tap is turned off

The plug is taken out

Tony’s Taxis calculate the cost of a journey using the following graph.

How much is the fixed charge added to every journey regardless of the distance travelled?

£0

50 p

£2

Using the graph for Question 3, how much do Tony’s Taxis cost per mile?

0.5

Janet and Sophie complete an 11 metre long assault course. Here is a travel graph for the race.

After 11 seconds, who was in the lead, and by how much?

Janet by just under 5 metres

Sophie by just under 5 metres

They were level

Using the graph for Question 5, who achieved the fastest speed?

Janet

Sophie

They have the same speed

Using the graph of Question 5, what was Sophie’s speed during the final 10 seconds of the race?

3 m/s

0.7 m/s

7 m/s

What does section B of this velocity-time graph show?

The object is stationary

The object is moving with constant velocity

The object is moving with constant acceleration

Using the graph in Question 8, what is the average velocity for the journey?

4 m/s

5.2 m/s

Find the total distance travelled in the journey shown on this velocity-time graph.

8 m

16 m

52 m