Multiple Choice
In a graph of position, velocity, or acceleration versus time, the independent variable (test variable) is located on which axis?
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2. 1D Motion / Kinematics
Graphing Position, Velocity, and Acceleration Graphs
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In a position vs. time graph, if the researchers hypothesized that the object moves with constant velocity, do the results in the graph support the researchers’ hypothesis?
A
No, if the graph is a horizontal line.
B
No, if the graph is a straight line with a decreasing slope.
C
Yes, if the graph is a curve with increasing slope.
D
Yes, if the graph is a straight line with a constant slope.
Verified step by step guidance1
Understand the concept of constant velocity: An object moving with constant velocity covers equal distances in equal intervals of time. This means its speed and direction remain unchanged.
Interpret a position vs. time graph: In such a graph, the slope of the line represents the velocity of the object. A straight line indicates constant velocity, while a curve indicates changing velocity.
Analyze the given options: A horizontal line on a position vs. time graph indicates zero velocity, as the position does not change over time. A straight line with a decreasing slope indicates a negative constant velocity, meaning the object is moving in the opposite direction at a constant speed.
Evaluate the correct scenario: A straight line with a constant slope on a position vs. time graph indicates that the object is moving with constant velocity. The slope of the line gives the magnitude of this velocity.
Conclude based on the analysis: The researchers' hypothesis that the object moves with constant velocity is supported if the position vs. time graph is a straight line with a constant slope, as this represents unchanging velocity over time.
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