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Mathematics for IGCSE & O level - Graphs In Practical Situations (Section 2)

1
What is the relationship between the rate of change of speed and acceleration?
Answer
(A)
Rate of change of speed is equal to acceleration
2
Which of the following represents the units for the gradient of a speed-time graph if speed is in m/s and time is in seconds?
Answer
(B)
m/s²
3
What does the area under a speed-time graph represent?
Answer
(C)
Distance traveled
4
In a conversion graph, what do you call the amount one unit is converted into in the other unit?
Answer
(D)
The rate
5
On a distance-time graph, if the line curves upwards, this shows that:
Answer
(C)
The object is speeding up
6
What does a horizontal line segment on a speed-time graph represent?
Answer
(A)
Constant speed
7
What does a curved line on a distance-time graph represent?
Answer
(C)
Changing speed.
8
The gradient of which type of graph is used to calculate speed?
Answer
(B)
Distance-Time Graph
9
If an object's speed is decreasing, what will the gradient of the speed-time graph be?
Answer
(B)
Negative
10
When analyzing a distance-time graph, what will be the shape of the graph if an object travels at a constant speed?
Answer
(B)
A straight line with a positive slope
11
If the gradient of a speed-time graph is zero, what can be concluded about the object's motion?
Answer
(C)
The object is moving at a constant speed.
12
What is the unit for acceleration?
Answer
(B)
m/s²
13
What information can be obtained from a conversion graph?
Answer
B
C
14
What can we infer from a curved line on a speed-time graph?
Answer
B
D
15
Which option correctly describes what is shown on the y-axis of a speed-time graph?
Answer
(C)
Speed
16
When the acceleration is negative, it is also known as:
Answer
(C)
Deceleration
17
How do you determine the total distance traveled from a speed-time graph?
Answer
(A)
Calculate the area under the graph.
18
What does a straight line on a distance-time graph with a negative gradient indicate?
Answer
(C)
The object is moving towards its starting point.
19
In the context of a conversion graph, what does a steeper gradient signify?
Answer
(A)
A higher conversion rate.
20
What information does a speed-time graph provide?
Answer
(D)
All of the above
21
What does a decreasing gradient on a speed-time graph imply about the object's motion?
Answer
(C)
Decreasing acceleration
22
What is the formula for calculating speed using information derived from a distance-time graph?
Answer
(B)
Speed = Distance / Time
23
If a car travels at 30 m/s for 20 seconds, what is the distance covered?
Answer
(C)
600 meters
24
What does the gradient of a speed-time graph represent?
Answer
(B)
Acceleration
25
In a distance-time graph, what does a straight line with a positive gradient indicate about the motion of an object?
Answer
(B)
The object is moving at a constant speed.
26
If an object's acceleration is zero, what does the speed-time graph look like?
Answer
(C)
A horizontal line
27
What information can you get from the gradient of a speed-time graph?
Answer
(B)
Acceleration
28
What is the rate of change in speed also known as?
Answer
(B)
Acceleration
29
If a conversion graph is used to convert dollars to euros, what would be plotted on the vertical axis?
Answer
(B)
Euros
30
What does the x-axis represent in a speed-time graph?
Answer
(B)
Time
31
What is the relationship between distance, speed, and time?
Answer
(C)
Time = Distance / Speed
32
When calculating the rate of change of a distance-time graph, you're finding:
Answer
(B)
The speed
33
What should you plot on the x-axis of a distance-time graph?
Answer
(B)
Time
34
What does the gradient of a conversion graph represent?
Answer
(B)
The ratio between the two units.
35
What would be the best way to describe constant velocity?
Answer
(C)
Constant speed and constant direction
36
What does the area under a speed-time graph represent, specifically?
Answer
(B)
The total distance traveled
37
If a travel graph has a horizontal line segment, what does it indicate?
Answer
(B)
The object is stationary
38
What does the slope of the tangent at a point on a curved distance-time graph give you?
Answer
(B)
The instantaneous speed at that point.
39
What should be plotted on the y-axis of a conversion graph to convert pounds to dollars?
Answer
(B)
Dollars
40
Which of the following statements about travel graphs is correct?
Answer
(C)
A horizontal line means the object is stationary.
41
Which of the following must be considered when calculating the speed using a distance-time graph?
Answer
A
B
42
What type of relationship is represented by a straight line on a conversion graph?
Answer
(A)
Linear
43
Which of the following describes the motion of an object with constant velocity?
Answer
(B)
Zero acceleration.
44
What does it mean when a line on a distance-time graph has a negative gradient?
Answer
(B)
The object is moving back toward its starting point.
45
What type of graph would you use to convert between different currencies?
Answer
(C)
Conversion graph
46
What does the gradient of a distance-time graph signify?
Answer
(B)
Speed
47
What can be determined from the gradient of a speed-time graph?
Answer
(B)
Acceleration.
48
If the graph is curving downwards, what does it indicate about the acceleration?
Answer
(B)
Acceleration is decreasing
49
A conversion graph shows the relationship between two different units of measurement. What does the gradient of this graph typically indicate?
Answer
(B)
The ratio for conversion between the two units.
50
Which is the correct relationship between the variables in a speed-time graph?
Answer
A
B