Multiple Choice
Which of the following functions is not correctly matched with its description on a position-time graph?
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2. 1D Motion / Kinematics
Conceptual Problems with Position-Time Graphs
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Given a position-time graph where the slope of the line is constant and positive, what conclusion can you draw from the data?
A
The object is at rest.
B
The object is moving with a constant positive velocity.
C
The object is accelerating.
D
The object is moving with a constant negative velocity.
Verified step by step guidance1
Understand the concept of a position-time graph: A position-time graph displays the position of an object over time. The slope of the line on this graph represents the object's velocity.
Identify the characteristics of the graph: The problem states that the slope of the line is constant and positive. This means the line is straight and sloping upwards as time progresses.
Relate the slope to velocity: In physics, the slope of a position-time graph is equal to the velocity of the object. A constant slope indicates a constant velocity.
Interpret the positive slope: A positive slope means the object is moving in the positive direction. Since the slope is constant, the velocity is constant and positive.
Conclude based on the analysis: Given the constant positive slope, the object is moving with a constant positive velocity. This means the object is not accelerating or at rest, and it is not moving with a negative velocity.
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