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Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 4)

1
If an object's speed is decreasing, what type of slope will be shown on a speed-time graph?
Answer
(B)
A negative slope
2
What is being shown on page 228, question 3?
Answer
(C)
Calculating distance travelled
3
What is the name for negative acceleration?
Answer
(B)
Deceleration
4
What are the essential characteristics of a conversion graph?
Answer
A
B
5
What calculation is required to find the distance travelled from a speed-time graph?
Answer
(C)
Calculating the area under the curve
6
What is the relationship between the distance travelled and the area under a speed-time graph?
Answer
(B)
Area equals distance
7
For the graph on the lower part of page 228 (from OCR), what does the speed of the car in the graph indicate?
Answer
A
B
8
What is the distance covered by an object moving at a constant speed represented by on a speed-time graph?
Answer
(B)
The area under the graph
9
How can you calculate speed from a distance-time graph?
Answer
(B)
Find the slope of the line
10
What is the acceleration of a car when it travels at a constant speed of 20 m/s?
Answer
(C)
0 m/s²
11
What does a steeper slope on a distance-time graph indicate in comparison to a shallower slope?
Answer
(B)
Greater speed
12
Which graph would you consult to understand how far an object has travelled over a certain period?
Answer
(C)
Distance-time graph
13
What does a downward curving speed-time graph indicate about acceleration?
Answer
(C)
Decreasing acceleration
14
What type of acceleration does a car have if it's speeding up at a constant rate?
Answer
(B)
Constant acceleration
15
Which of the following are uses for a conversion graph?
Answer
A
B
16
Which axis typically represents time on a travel graph?
Answer
(A)
Horizontal axis
17
What do the horizontal lines in the speed-time graph mean?
Answer
A
C
18
How can you find the distance traveled during a period of constant acceleration?
Answer
(A)
Use the area under the speed-time graph
19
Which graph is used to show how an object's position changes over time?
Answer
(B)
Distance-time graph
20
How can the total distance traveled be determined from a speed-time graph?
Answer
(B)
The area under the graph.
21
What does the area under a speed-time graph represent?
Answer
(C)
Distance traveled
22
What is the direction of the motion when the line on a distance-time graph is sloping downwards?
Answer
(B)
Towards the starting point.
23
What does a negative gradient on a speed-time graph represent?
Answer
(B)
Deceleration
24
What do the graphs show about the objects' movement?
Answer
B
D
25
If a person walks at a constant speed of 2 meters per second, how will the distance-time graph appear?
Answer
(B)
A straight line with a positive gradient
26
What does a curved line on a distance-time graph suggest about an object's motion?
Answer
(C)
Changing speed
27
What does the slope of the speed-time graph represent?
Answer
(C)
Acceleration
28
If an object's speed increases over time, how does the speed-time graph look?
Answer
(B)
A straight line with a positive slope
29
The speed-time graph shows the first 30s of a car's journey. What is the speed of the car after 15 seconds?
Answer
(B)
21 m/s
30
What is the formula to find the acceleration?
Answer
(A)
Change in speed / Change in time
31
If the gradient of a speed-time graph is zero, what does this imply about the object's motion?
Answer
(B)
The object is moving at a constant speed.
32
Which properties can be described using a speed-time graph?
Answer
A
B
C
D
33
What is the relationship between the rate of change of speed and the speed-time graph?
Answer
(B)
The rate of change of speed is the gradient of the graph.
34
What does a straight line on a speed-time graph, sloping downwards, represent?
Answer
(C)
Constant deceleration
35
What is the meaning of a horizontal segment on a distance-time graph?
Answer
(B)
The object is stationary
36
What is the relationship between acceleration and the gradient of a speed-time graph?
Answer
(A)
Acceleration is the gradient.
37
A cyclist travels 20 meters in 4 seconds. What is the cyclist's speed?
Answer
(A)
5 m/s
38
What is the physical meaning of a negative value for the gradient on a speed-time graph?
Answer
(C)
Deceleration
39
What quantity is calculated by finding the area beneath the curve on a speed-time graph?
Answer
(B)
Distance
40
What do the straight line segments represent on the journey graph?
Answer
(A)
Constant speed
41
Which parts of a speed-time graph can be used to calculate the total distance travelled?
Answer
A
C
D
42
What is the key relationship between speed, time, and distance traveled when speed is constant?
Answer
(B)
Distance = Speed x Time
43
What can be found by analyzing a speed-time graph?
Answer
A
B
C
D
44
For the graph on page 228, Question 3, what is the acceleration?
Answer
(B)
0.4 m/s²
45
What would the speed-time graph look like for an object moving at a constant velocity?
Answer
(A)
A horizontal line
46
Which elements can be calculated using a speed-time graph?
Answer
A
B
C
47
What type of graph is primarily used to show how the distance of an object changes over time?
Answer
(C)
Distance-time graph
48
Which of the following is true about a travel graph?
Answer
B
D
49
If a car is at rest, what would its distance-time graph look like?
Answer
(A)
A horizontal line
50
What does a straight line with a positive slope on a speed-time graph represent?
Answer
(B)
Constant acceleration