Textbook Question
FIGURE EX2.5 shows the position graph of a particle. Draw the particle’s velocity graph for the interval .
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2. 1D Motion / Kinematics
Graphing Position, Velocity, and Acceleration Graphs
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Which of the following best explains the data in a position-time graph where the line is a straight diagonal line with a positive slope?
A
The object is at rest.
B
The object is moving at a constant velocity.
C
The object is moving with a decreasing velocity.
D
The object is accelerating.
Verified step by step guidance1
Understand the concept of a position-time graph: A position-time graph displays the position of an object along the y-axis and time along the x-axis.
Identify the characteristics of the graph: A straight diagonal line with a positive slope indicates a linear relationship between position and time.
Interpret the slope: In a position-time graph, the slope of the line represents the velocity of the object. A positive slope indicates that the object is moving in the positive direction.
Analyze the nature of the line: Since the line is straight and diagonal, it suggests that the velocity is constant. There is no curvature in the line, which would indicate acceleration or deceleration.
Conclude the motion of the object: Based on the analysis, the best explanation for the data is that the object is moving at a constant velocity, as indicated by the straight diagonal line with a positive slope.
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