Textbook Question
Write a short description of the motion of a real object for which FIGURE EX1.20 would be a realistic position-versus-time graph.
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2. 1D Motion / Kinematics
Conceptual Problems with Position-Time Graphs
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Which statement is not true regarding a position-time graph?
A
The slope of the graph represents the velocity of the object.
B
A steeper slope indicates a slower speed.
C
A horizontal line indicates the object is at rest.
D
A curved line indicates the object is accelerating.
Verified step by step guidance1
Understand that a position-time graph plots the position of an object on the y-axis against time on the x-axis.
Recall that the slope of a position-time graph represents the velocity of the object. A steeper slope indicates a higher speed, not a slower speed.
Recognize that a horizontal line on a position-time graph means there is no change in position over time, indicating the object is at rest.
Identify that a curved line on a position-time graph suggests that the velocity is changing over time, which means the object is accelerating.
Conclude that the statement 'A steeper slope indicates a slower speed' is not true, as a steeper slope actually indicates a faster speed.
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