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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

2.2 Position-Time Graphs – Quiz

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Position-Time Graphs American Physics quiz: free practice for American System Physics. Work through this Position-Time Graphs American Physics quiz and get instant feedback on every answer. If you get stuck, review the 2.2 Position-Time Graphs — 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.
The position–time graph describes a toy robot. What is its instantaneous position at t = 7 s?
Dr Dabour Hub Academy - figure 1
10 m
14 m
6 m
7 m
2.
During which section of the graph is the go-kart moving fastest?
Dr Dabour Hub Academy - figure 2
A to B
C to D
B to C
D to E
3.
The graph shows a cat walking along a fence. During which time intervals is the cat at rest?
Dr Dabour Hub Academy - figure 3
0–3 s only
6–8 s only
3–6 s and 8–12 s
0–3 s and 6–8 s
4.
Car B starts behind truck A on the same road (graph). At what time and position does B overtake A?
Dr Dabour Hub Academy - figure 4
t = 4 s at x = 20 m
t = 10 s at x = 50 m
B never overtakes A
t ≈ 6.7 s at x ≈ 33 m
5.
Write the position equation for the skateboarder shown on the graph.
Dr Dabour Hub Academy - figure 5
x = 3.0t + 6.0
x = 6.0t + 3.0
x = 3.0t
x = −3.0t + 6.0
6.
The curved position–time graph shows a sledge after it reaches flat snow. What is happening to it?
Dr Dabour Hub Academy - figure 6
It is speeding up in the positive direction
It is slowing down in the positive direction
It is moving at constant velocity
It is moving in the negative direction
7.
A position–time graph for a falling acorn curves downward and gets steeper (up is positive). Which describes the acorn?
Dr Dabour Hub Academy - figure 7
Moving in the positive direction and slowing down
At rest
Moving in the negative direction and speeding up
Moving at constant velocity
8.
A dog runs 20 m out to a ball and 20 m back. Two lines are drawn for the trip. Which statement is correct?
Dr Dabour Hub Academy - figure 8
Line 1 is the distance–time graph; line 2 is the position–time graph
Both are distance–time graphs
Both are position–time graphs
Line 2 is the distance–time graph; line 1 is the position–time graph
9.
Two triangles are drawn on the same straight line to find its slope. Which should be used, and why?
Dr Dabour Hub Academy - figure 9
Q, because a larger rise and run reduce the effect of reading errors
P, because smaller triangles are more accurate
Either gives a different velocity
Neither: slopes are found from a single point
10.
A delivery van starts behind the depot, which is the origin. From its graph, which equation describes its motion?
Dr Dabour Hub Academy - figure 10
x = −12t + 4.0
x = 4.0t − 12
x = 4.0t + 12
x = −4.0t − 12
11.
A ticker timer records a trolley’s position every 0.1 s (table). Which statement is correct?
The motion is uniform, with velocity 2.5 m/s
The trolley is speeding up
The motion is uniform, with velocity 0.25 m/s
The trolley is at rest
12.
Which position equation represents the hovercraft data in the table?
x = 2.5t + 30
x = 30t − 2.5
x = −2.5t
x = −2.5t + 30
13.
Using the pattern in the table, predict the position of the barge at t = 12 min.
1.9 km
1.3 km
2.4 km
1.6 km
14.
Two model trains are timed on parallel tracks (table). At what time are they level?
3 s
5 s
10 s
They are never level
15.
A ball rolling down a ramp is filmed (table). What shape would its position–time graph have?
A straight sloping line
A horizontal line
A curve getting steeper
A curve getting less steep
16.
Light gates are placed along a track at the positions in the table and record when a cart passes each one. What is the cart’s velocity?
1.25 m/s
0.40 m/s
2.0 m/s
0.80 m/s
17.
On a position–time graph, which quantity is on the vertical axis?
Position
Time
Velocity
Distance travelled per second
18.
What is uniform motion?
Motion with increasing speed
Motion with equal displacements in equal time intervals
Motion that starts at the origin
Motion with a curved position–time graph
19.
In the position equation x = vt + xi, what does xi represent?
The velocity
The final position
The initial position, the y-intercept of the graph
The time interval
20.
A kayak moves according to x = −3.0t + 24 (x in m, t in s). At what time does it reach the origin?
−8.0 s
24 s
72 s
8.0 s
21.
Runner A follows x = 6.0t and runner B follows x = 4.0t + 30 (x in m, t in s). When does A catch B?
t = 15 s
t = 5.0 s
t = 3.0 s
t = 30 s
22.
A scooter follows x = 2.5t − 10 (x in m, t in s). Where is it at t = 6.0 s?
15 m
5.0 m
−25 m
−5.0 m
23.
Two objects have position–time lines with the same slope but different intercepts. What can be concluded?
They will meet after some time
They have different velocities
They have the same velocity but started at different positions
Both are at rest
24.
Which set lists equivalent representations of the same motion?
Only a graph and its title
Mass, weight and density
A ruler, a stopwatch and a calculator
Words, motion diagram, data table, graph and equation
25.
A student says a straight position–time line sloping down shows an object slowing down. What is the best correction?
It shows constant velocity in the negative direction
It shows the object at rest
It shows the object speeding up
The student is correct
26.
A graph line passes through (2.0 s, 11 m) and (7.0 s, 1.0 m). What is the velocity?
+2.0 m/s
−2.0 m/s
−0.50 m/s
−10 m/s
27.
Which method would give the most useful position–time data for a toy car rolling across a floor?
Timing only the whole trip with a stopwatch
Measuring only the final position
Filming it next to a metre rule and reading its position from each frame at equal time intervals
Estimating its speed by eye
28.
An object’s position–time graph is a horizontal line at x = −5 m. Which statement is correct?
It is moving at −5 m/s
It is moving toward the origin
It is speeding up
It is at rest 5 m on the negative side of the origin
29.
The position equation for uniform motion is x = _____.
xi − t
vt + xi
v/t + xi
xi t + v
30.
A line has intercept 14 m and slope −2.0 m/s. It reaches the origin at t = _____.
−7.0 s
28 s
7.0 s
12 s
31.
A position–time graph whose slope changes is _____ rather than straight.
horizontal
vertical
dashed
curved
32.
A graph line rises from 4 m to 19 m between 1 s and 6 s. The velocity is _____.
3.0 m/s
3.8 m/s
0.33 m/s
15 m/s
33.
The value of position at t = 0 is called the _____ position.
final
initial
instantaneous
average
34.
Rise over run, measured on an x–t line, gives the velocity of the moving object. True or false?
True
False, it equals the distance
False, it equals the acceleration
True only for curves
35.
A horizontal line on a position–time graph means the object is moving at constant speed. True or false?
True
False, because a horizontal line means zero velocity (at rest)
True only above the time axis
False, because it means speeding up
36.
Where the line meets the vertical axis tells you where the object was when the clock started. True or false?
False, it is the velocity
False, it is the time taken
True
True only for negative slopes
37.
A steeper straight line on a position–time graph shows a greater speed. True or false?
False, it shows greater acceleration
False, it shows a smaller speed
True only for positive slopes
True
38.
Whenever an x–t plot bends, the object’s velocity must be changing. True or false?
True
False, it shows constant velocity
False, it shows the object at rest
True only if it passes through the origin
39.
A distance–time graph can slope downward. True or false?
True
False, because total distance travelled never decreases
True when the object turns around
False, because it is always horizontal
40.
Two runners whose graph lines intersect must be running equally fast at that instant. True or false?
True
True only if both are at rest
False, because they are at the same position at that time
False, because crossing lines are impossible
41.
For x = 5.0t + 8.0 (x in m, t in s), the object is at 33 m when t = 5.0 s. True or false?
False, it is at 25 m
False, it is at 48 m
True only for t < 5 s
True
42.
The equation x = −1.5t + 6.0 describes an object moving in the positive direction. True or false?
False, because the velocity −1.5 m/s is negative
True
True only after it passes the origin
False, because the object is at rest
43.
A large slope triangle gives a more precise velocity than a small one drawn on the same line. True or false?
False, triangle size does not matter at all
True
False, a small triangle is better
True only for curved graphs
44.
A motion sensor gives a horizontal line from (0 s, 3 m) to (4 s, 3 m). The object moves at 0.75 m/s. True or false?
True
True only for the first second
False, because Δx = 0, so the velocity is zero
False, because the velocity is 3 m/s
45.
A sprinter’s positions during the first 3 s are listed in the table. These data describe uniform motion. True or false?
True
False, because the object is at rest
True only after 2 s
False, because the position changes by different amounts in equal times
46.
From the rower’s positions in the table, her velocity works out as −4.0 m/s. True or false?
True
False, it is +4.0 m/s
False, it is −0.25 m/s
True only for the last interval
47.
When plotting position–time data, time should be on the x-axis and position on the y-axis, each labelled with its unit. True or false?
False, position goes on the x-axis
True
True only for straight lines
False, units are not needed
48.
A position–time curve that gets less steep shows the object slowing down. True or false?
False, it shows speeding up
False, it shows constant velocity
True
True only below the axis
49.
For two objects with x = 2t + 10 and x = 7t, setting the equations equal shows they meet at t = 2 s. True or false?
False, they meet at t = 5 s
False, they never meet
True only if both start at the origin
True
50.
Instantaneous position is read directly from a position–time graph at a particular time. True or false?
True
False, it is the slope
False, it is the area under the graph
True only at t = 0
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Part of Representing Motion — see every lesson and quiz in this unit.
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