Instructions: Answer all 15 questions. Write your answers in the spaces provided.
Show your working for all calculations, including any unit conversions, as shown in your notes.
Section A — Recall Questions 1–5
1.State what is meant by a travel graph (distance-time graph).
2.Write the formula used to find the speed from a distance-time graph, in terms of the change in distance and the change in time.
3.State what a horizontal (flat) section of a distance-time graph tells you about the object’s motion.
4.State what it means when the line on a distance-time graph slopes back down towards the time axis.
5.State what is meant by a conversion graph.
Section B — Application Questions 6–10
6.A car travels 150 km in 3 hours at a constant speed. Calculate its speed in km/h.
7.The graph below shows a bus’s journey from the depot to town and back.
The bus’s journey from the depot to town and back
Use the graph to find how far the bus was from the depot at $t = 75$ minutes.
8.A ferry crosses a channel of 18 km in 45 minutes at a constant speed. Calculate its speed in km/h.
9.The graph below is a conversion graph between British pounds (£) and euros (€).
Conversion graph between British pounds and euros
Use the graph to convert £24 into euros.
10.Two sections of a travel graph have gradients of 20 km/h and 35 km/h. State which section represents the faster speed, and explain your answer using the word gradient.
Section C — Challenge Questions 11–15
11.The graph shows a hiker’s walk from a camp to a lake and back.
A hiker’s walk from camp to a lake and back
(a)
State what happened between hour 2 and hour 3.
(b)
Calculate the hiker’s speed on the walk to the lake (0 to 2 hours).
(c)
Calculate the hiker’s speed on the return journey (3 to 7 hours), and explain why this speed is different from the outward journey.
12.The table shows a student’s distance from home during a bike ride.
Time (minutes)
0
15
30
45
60
Distance from home (km)
0
4
4
4
10
(a)
Draw the distance-time graph for this data on the axes provided.
Blank axes for plotting the graph
(b)
Calculate the speed for the first 15 minutes.
(c)
Describe what is happening between $t=15$ minutes and $t=45$ minutes.
13.The graph below is a conversion graph between US dollars (\$) and British pounds (£).
Conversion graph between US dollars and British pounds
(a)
Use the graph to convert \$50 into pounds.
(b)
Use the graph to convert £60 into dollars.
(c)
Explain why the same graph can be used to convert in both directions.
14.A delivery driver leaves the depot and drives 30 km to a warehouse at a steady speed, taking 30 minutes. He unloads for 20 minutes. He then drives back to the depot at a steady speed, taking 40 minutes.
(a)
Draw the distance-time graph for this journey on the axes provided.
Blank axes for sketching the journey
(b)
Calculate his speed on the outward journey.
(c)
Calculate his speed on the return journey.
15.The graph shows three sections, P, Q and R, of a delivery van’s journey.
Three sections, P, Q and R, of a delivery van’s journey
(a)
State which section shows the van travelling fastest, giving a reason based on the graph.
(b)
State which section shows the van stationary.
(c)
Calculate the speed for each of sections P, Q and R, to confirm your answer to part (a).
