A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. Figure U₁(m/s) 2.0 1.5 1.0 0.5 1(s) 0 10 20 30 40 50 1 of 1 (Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot to answer the following questions. Part A What is the initial velocity of the particle, vo? Express your answer in meters per second. ▸ View Available Hint(s) V₁ = 0.5 m/s Submit Previous Answers ▾ Part B Correct What is the displacement Az of the particle? Express your answer in meters. ▸ View Available Hint(s) Ax = 83 Ο ΑΣΦ ? m

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as
a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition,
velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in
the direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really the
components of the velocity and acceleration vectors in the direction of motion, respectively.
Figure
U₁(m/s)
2.0
1.5
1.0
0.5
1(s)
0
10
20
30
40
50
1 of 1
(Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot to
answer the following questions.
Part A
What is the initial velocity of the particle, vo?
Express your answer in meters per second.
▸ View Available Hint(s)
V₁ = 0.5 m/s
Submit
Previous Answers
▾
Part B
Correct
What is the displacement Az of the particle?
Express your answer in meters.
▸ View Available Hint(s)
Ax = 83
Ο ΑΣΦ
?
m
Transcribed Image Text:A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. Figure U₁(m/s) 2.0 1.5 1.0 0.5 1(s) 0 10 20 30 40 50 1 of 1 (Figure 1) is a plot of velocity versus time for a particle that travels along a straight line with a varying velocity. Refer to this plot to answer the following questions. Part A What is the initial velocity of the particle, vo? Express your answer in meters per second. ▸ View Available Hint(s) V₁ = 0.5 m/s Submit Previous Answers ▾ Part B Correct What is the displacement Az of the particle? Express your answer in meters. ▸ View Available Hint(s) Ax = 83 Ο ΑΣΦ ? m
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