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Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 6)

1
What can be determined from a distance-time graph?
Answer
A
B
C
2
In the context of travel graphs, the term "gradient" is used to represent...
Answer
(B)
The object's speed
3
What does a straight line with a negative slope on a speed-time graph signify?
Answer
(B)
Deceleration
4
What is the term for the rate of change of velocity with respect to time?
Answer
(C)
Acceleration
5
Which of the following elements can be directly obtained from a travel graph?
Answer
A
B
D
6
Which of these elements can be extracted from a speed-time graph?
Answer
A
B
C
D
7
What aspects can you find using a distance-time graph?
Answer
A
B
D
8
What calculation is needed to determine the acceleration from a speed-time graph?
Answer
(B)
The gradient of the line
9
What is the definition of velocity?
Answer
(A)
Speed and direction
10
What does the 'rise' in the gradient calculation represent in a distance-time graph?
Answer
(C)
Change in distance
11
What does the steepness of the line indicate in a distance-time graph?
Answer
(B)
The object's speed.
12
Which of the following statements accurately describes the relationship between the gradient and the speed on a distance-time graph?
Answer
(D)
The gradient is directly proportional to the speed.
13
If a train is slowing down, what kind of acceleration does it experience?
Answer
(B)
Negative
14
What information can be obtained from a speed-time graph?
Answer
A
B
C
15
The graph represents the speed of an object during a given time period. The gradient of the graph represents which of the following?
Answer
(C)
Acceleration
16
Which quantities can be calculated from a distance-time graph?
Answer
B
D
17
What is the representation of a decelerating object on a speed-time graph?
Answer
(C)
A straight line sloping downwards
18
Which of the following is true about the motion of an object represented by a horizontal line segment on a distance-time graph?
Answer
(A)
The object is at rest.
19
In a speed-time graph, how is constant acceleration represented?
Answer
(B)
A straight line (non-horizontal)
20
What does the slope of the tangent line represent in a speed-time graph that is a curve?
Answer
A
B
C
21
A bus travels 100 meters in 5 seconds, then stops. What is its speed at 2 seconds?
Answer
(B)
20 m/s
22
Which of the following is the correct unit for acceleration?
Answer
(C)
Meters per second squared (m/s²)
23
What does the vertical axis of a travel graph showing distance represent?
Answer
(C)
Distance
24
What is the significance of the slope in a distance-time graph?
Answer
(B)
Speed
25
What is the use of a conversion graph?
Answer
(A)
Converting units.
26
In a distance-time graph, what does a steeper slope indicate compared to a less steep slope?
Answer
(C)
Higher speed
27
What does a straight, non-horizontal line on a distance-time graph show?
Answer
(B)
Constant Speed.
28
Which type of graph is primarily used to visualize changes in speed over a period of time?
Answer
(B)
Speed-time graph
29
What are the units for measuring acceleration?
Answer
(B)
meters per second squared (m/s²)
30
What is the physical meaning of a negative slope in a distance-time graph?
Answer
(C)
The object is moving in the opposite direction.
31
What does the area underneath a speed-time graph determine?
Answer
(B)
Distance travelled.
32
If the acceleration is constant, what does the speed-time graph look like?
Answer
(B)
A straight line with a non-zero slope
33
What can you calculate from a speed-time graph?
Answer
(A)
Distance, time, and acceleration
34
A car travels 60 km in 1 hour. Then, in a second hour, the car travels 0 km. What is the speed-time graph for this scenario?
Answer
(B)
A horizontal line followed by a horizontal line
35
If a car is moving at 30 m/s for 20 seconds, what will be a correct expression to determine distance traveled?
Answer
B
C
36
What type of graph is used to show the relationship between acceleration and time?
Answer
(C)
Acceleration-time graph
37
Which of the following represents constant speed on a speed-time graph?
Answer
(A)
A straight horizontal line.
38
What does the gradient of a distance-time graph represent?
Answer
(B)
Speed
39
What is the difference between deceleration and acceleration?
Answer
(B)
Deceleration is negative acceleration.
40
What is the defining characteristic of a conversion graph?
Answer
(A)
It converts units from one measurement system to another.
41
What can you determine from a speed-time graph?
Answer
(D)
All of the above.
42
What does a horizontal line segment on a speed-time graph represent?
Answer
(A)
Constant speed
43
What is the shape of the speed-time graph that represents a constant positive acceleration?
Answer
(C)
A straight line sloping upwards
44
What does a negative slope on a distance-time graph signify?
Answer
(D)
The object is moving towards the starting point
45
In a conversion graph, what does the slope of the line indicate?
Answer
(B)
The conversion ratio between the units.
46
Which of the following parameters are obtainable from a distance-time graph?
Answer
B
D
47
What is the best definition of acceleration?
Answer
(C)
The rate of change of velocity
48
On a speed-time graph, what does a line with a zero gradient represent?
Answer
(C)
Both constant speed and zero acceleration.
49
If a car is travelling at a constant speed, what will its distance-time graph look like?
Answer
(B)
A straight line with a positive slope
50
In a speed-time graph, what does the area beneath the curve represent?
Answer
(B)
Distance traveled