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Course: American System Physics
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American System Physics

A Physics Toolkit

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Representing Motion

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Accelerated Motion

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Forces in One Dimension

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Displacement and Force in Two Dimensions

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Motion in Two Dimensions

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Gravitation

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Rotational Motion

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Momentum and Its Conservation

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Energy and Its Conservation

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Thermal Energy

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States of Matter

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Vibrations and Waves

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Sound

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Fundamentals of Light

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Reflection and Refraction

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Interference and Diffraction

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Electrostatics

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Electric Current and Circuits

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Magnetic Fields

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Electromagnetic Induction and Electromagnetism

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Quantum Theory and the Atom

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Solid-State Electronics

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Nuclear and Particle Physics

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Quiz

1.3 Graphing Data – Quiz

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Graphing Data American Physics quiz: free practice for American System Physics. Work through this Graphing Data American Physics quiz and get instant feedback on every answer. If you get stuck, review the 1.3 Graphing Data — Notes lesson. More practice: American System Physics — all units. Syllabus: OpenStax free science textbooks.

  • Questions count: 50
  • Passing grade: A-
  • Time limit:
Start Quiz
1.
Four lines, A to D, are plotted on the same axes. Which one represents an inverse relationship?
Dr Dabour Hub Academy - figure 1
C
A
B
D
2.
Water in a beaker is heated steadily. Using the graph, what is the rate of temperature rise?
Dr Dabour Hub Academy - figure 2
5.0 °C/s
0.20 °C/s
0.30 °C/s
40 °C
3.
Water is poured into a beaker on a balance and total mass is plotted against volume added. What does the y-intercept represent?
Dr Dabour Hub Academy - figure 3
The density of water, 150 g
The volume of the beaker, 150 cm³
The mass of the empty beaker, 150 g
The mass of 1 cm³ of water
4.
Use the line of best fit to find the extension when the load is 3.5 N.
Dr Dabour Hub Academy - figure 4
6.0 cm
8.0 cm
3.5 cm
7.0 cm
5.
The data for a spring go up to 5 N. A student extends the line to predict the extension at 12 N. Which comment is most valid?
Dr Dabour Hub Academy - figure 5
This is extrapolation; the prediction may be wrong if the spring stops behaving linearly beyond 5 N
This is interpolation, so the prediction is certain
The prediction is impossible because the graph has an intercept
Extrapolated values are always more reliable than measured ones
6.
The graph shows the resistance of different lengths of wire. Which point is anomalous?
Dr Dabour Hub Academy - figure 6
P
R
S
U
7.
A student’s graph of stretch against mass is shown. What is the best improvement?
Dr Dabour Hub Academy - figure 7
Remove the grid lines
Swap the axes
Choose scales so the data fill at least half of each axis
Join the points dot to dot
8.
Times to cross a 40 m corridor at different walking speeds were used to plot time against 1/speed. What does the straight line through the origin show?
Dr Dabour Hub Academy - figure 8
Time is directly proportional to speed
Time is proportional to speed squared
Time does not depend on speed
Time is inversely proportional to speed
9.
For a falling ball, distance is plotted against time squared. What can be concluded from the graph?
Dr Dabour Hub Academy - figure 9
Distance is proportional to time squared
Distance is proportional to time
Distance is inversely proportional to time
The ball is moving at constant speed
10.
Using the data in the table, which equation describes the length of the elastic cord?
L = 20F + 3.0
L = 3.0F + 20
L = 3.0F
L = 23F
11.
Three students’ data sets are shown. Which set shows y directly proportional to x?
Set 1
Set 3
Set 2
None of them
12.
The table shows how the current in a heater depends on its resistance at a fixed voltage. What is the value of the constant a in I = a/R?
3.0 A·Ω
0.083 A·Ω
48 A·Ω
12 A·Ω
13.
The stopping distance of a bicycle depends on the square of its speed (table). What is the constant a in d = av²?
0.20 s²/m
0.80 s²/m
5.0 s²/m
2.0 s²/m
14.
A results table has the columns shown. Which quantity should be plotted on the x-axis?
bounce height / cm
drop height / cm
ball type
room temperature / °C
15.
A student records how far a toy car rolls for different ramp heights. Which reading is anomalous?
The reading at 10 cm
The reading at 30 cm
The reading at 20 cm
The reading at 50 cm
16.
Data for time range from 0 to 48 s. The graph paper has 10 large squares along the x-axis. Which scale is best?
1 s per large square
20 s per large square
7 s per large square
5 s per large square
17.
A linear model of a cooling pan’s temperature is fitted to the data in the table. What temperature does it predict at 2.5 min?
65 °C
60 °C
70 °C
62.5 °C
18.
In an investigation of how string length affects the pitch of a guitar note, which should be a control variable?
The string length
The tension in the string
The pitch of the note
The number of results
19.
A student measures how the temperature of water affects the time for sugar to dissolve. What is the dependent variable?
The temperature of the water
The mass of sugar
The time for the sugar to dissolve
The size of the beaker
20.
Which is the correct way to label an axis?
current
A
amps (current)
current / A
21.
Which equation form describes a straight line that crosses the y-axis at a value other than zero?
y = mx + b
y = kx
y = a/x
y = ax²
22.
A graph has force in newtons on the y-axis and extension in centimetres on the x-axis. What is the unit of its slope?
cm/N
N/cm
N·cm
N
23.
At constant speed, distance is directly proportional to time. If a cyclist rides for twice as long, how does the distance covered change?
It halves
It quadruples
It doubles
It stays the same
24.
A marble falls from rest, so the distance it falls varies with the square of the time. Compared with 1 s, how far has it fallen after 3 s?
3 times as far
6 times as far
One third as far
9 times as far
25.
The time to drive a fixed route is inversely proportional to speed. If a van drives four times faster, what happens to the journey time?
It becomes one quarter as long
It becomes 4 times longer
It becomes 16 times longer
It halves
26.
A student suspects that the period of a pendulum T depends on the square root of its length L. What should she plot to test this with a straight line through the origin?
T against L
T against √L
T against L²
T against 1/L
27.
A student’s line of best fit passes exactly through the first and last points but has six of the eight points above it. What is wrong?
Nothing: a line must go through the first and last points
The line should pass through the origin in every graph
The line should balance the points evenly on either side
The student should join the points dot to dot
28.
Two students plot the same cooling data. One draws a smooth curve through the trend; the other joins every point with straight segments. Which approach is correct?
Joining the points, because every reading must be on the line
Both are equally good
Neither: cooling data must always be plotted as a bar chart
The smooth curve, because a best-fit line shows the trend and ignores scatter
29.
A variable kept constant throughout an experiment is called a _____ variable.
dependent
control
independent
anomalous
30.
Extending a line of best fit beyond the measured data is called _____.
interpolation
calibration
extrapolation
linearisation
31.
The slope of a graph is found from the rise divided by the _____.
intercept
origin
area
run
32.
To test whether y ∝ x², y should be plotted against _____.
x²
1/x
x
√x
33.
A straight line meets the y-axis at 12 m and has a slope of −3 m/s. Its equation is y = _____.
12t − 3
−3t + 12
3t + 12
−12t + 3
34.
The independent variable is plotted on the horizontal (x) axis. True or false?
True
False, it goes on the y-axis
True only for time
False, it is not plotted
35.
A control variable is deliberately changed to see its effect. True or false?
True
False, because a control variable is kept constant for a fair test
True only in physics
False, because control variables are measured on the y-axis
36.
A graph of y = kx is a straight line through the origin. True or false?
False, it is a parabola
False, it has a non-zero intercept
True
True only if k is negative
37.
A straight line with a positive y-intercept shows that y is directly proportional to x. True or false?
True
True only if the slope is large
False, because straight lines are never proportional
False, because direct proportion requires the line to pass through the origin
38.
The graph of an inverse relationship never touches either axis. True or false?
True
False, it passes through the origin
False, it crosses the y-axis at a
True only for small x
39.
Extrapolation means reading a value between measured data points. True or false?
True
False, because that is interpolation; extrapolation extends beyond the data
True only for curves
False, because both mean the same thing
40.
Values found by interpolation are generally more reliable than those found by extrapolation. True or false?
False, extrapolation is more reliable
False, both are equally unreliable
True
True only for quadratic graphs
41.
The line of best fit should pass through anomalous points. True or false?
True
True only if the anomaly is the first point
False, because anomalies should be joined with a curve
False, because anomalous results are ignored when drawing the line
42.
A line passes through (1.0 s, 3.0 m) and (5.0 s, 11.0 m). Its slope is 2.0 m/s. True or false?
True
False, it is 2.75 m/s
False, it is 0.5 m/s
True only if it passes through the origin
43.
To test whether y = a/x, a student should plot y against 1/x and look for a straight line through the origin. True or false?
False, she should plot y against x²
True
False, she should plot x against y
True only if a is negative
44.
A graph of distance fallen against time from rest for a dropped ball is a straight line. True or false?
True
True only for heavy balls
False, because distance depends on time squared, giving a parabola
False, because it is a hyperbola
45.
In the table, y increases by equal amounts for equal steps in x, so the relationship is linear. True or false?
False, it is quadratic
False, it is inverse
True only for the first two rows
True
46.
The table shows an inverse relationship between travel time and speed for a fixed journey. True or false?
True
False, it is direct proportion
False, it is quadratic
True only above 20 m/s
47.
Data should fill at least half of each axis so that the graph can be read precisely. True or false?
False, data should fill a small corner
True
True only on the y-axis
False, scales must always go to 1000
48.
The y-intercept is the value of y when x = 0. True or false?
False, it is x when y = 0
False, it is the slope
True
True only for curves
49.
A student plots load on the y-axis and extension on the x-axis, even though load was the variable she changed. This follows the usual convention. True or false?
True
True only if the graph is straight
False, because both belong on the y-axis
False, because load (independent) should be on the x-axis
50.
Anomalous results are usually caused by an error in measurement and should be checked by repeating. True or false?
True
False, they prove the theory wrong
False, they should be averaged in without checking
True only for straight-line graphs
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