Multiple Choice
Which of the following statements about position-time graphs is correct?
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2. 1D Motion / Kinematics
Conceptual Problems with Position-Time Graphs
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Which of the following statements accurately describes the motion of an object as depicted by a position-time graph with a constant positive slope?
A
The object is accelerating in the positive direction.
B
The object is at rest.
C
The object is moving at a constant speed in the negative direction.
D
The object is moving at a constant speed in the positive direction.
Verified step by step guidance1
Begin by understanding what a position-time graph represents: it shows how the position of an object changes over time.
Identify the meaning of a constant positive slope on a position-time graph. A slope is calculated as the change in position divided by the change in time, which is the velocity of the object.
Recognize that a constant positive slope indicates a constant velocity. Since the slope is positive, the object is moving in the positive direction.
Differentiate between constant velocity and acceleration. Acceleration would be represented by a changing slope, not a constant one.
Conclude that the object is moving at a constant speed in the positive direction, as the slope is constant and positive, indicating no change in speed or direction.
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