Multiple Choice
What does the data shown in this position-time graph represent?
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2. 1D Motion / Kinematics
Graphing Position, Velocity, and Acceleration Graphs
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What does a position vs. time graph with a constant positive slope demonstrate?
A
An object moving with constant negative velocity.
B
An object moving with constant positive velocity.
C
An object accelerating positively.
D
An object at rest.
Verified step by step guidance1
Understand the concept of a position vs. time graph: This graph plots the position of an object on the y-axis against time on the x-axis. It visually represents how the position of an object changes over time.
Identify what a constant positive slope means: A slope is calculated as the change in position divided by the change in time, which is the velocity. A constant positive slope indicates that the position is increasing steadily over time.
Relate the slope to velocity: Since the slope is positive and constant, it means the object is moving at a constant positive velocity. The velocity is positive because the slope is positive, indicating forward motion.
Differentiate between velocity and acceleration: A constant slope means the velocity is constant, not changing. If the object were accelerating, the slope would be changing, not constant.
Conclude the interpretation: A position vs. time graph with a constant positive slope demonstrates an object moving with constant positive velocity, as the position increases uniformly over time.
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