Multiple Choice
In a graph depicting motion, how would you identify the independent variable?
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2. 1D Motion / Kinematics
Graphing Position, Velocity, and Acceleration Graphs
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Which statement is correct about the variables plotted on a position vs. time graph?
A
The slope of the graph represents velocity.
B
The area under the graph represents displacement.
C
The slope of the graph represents acceleration.
D
The area under the graph represents acceleration.
Verified step by step guidance1
Understand the concept of a position vs. time graph: In such a graph, the position of an object is plotted on the y-axis, and time is plotted on the x-axis.
Identify what the slope of a position vs. time graph represents: The slope is calculated as the change in position (Δy) over the change in time (Δx), which is the definition of velocity. Therefore, the slope of the graph represents velocity.
Consider the area under the graph: In a position vs. time graph, the area under the graph does not have a direct physical meaning related to displacement or acceleration. Displacement is already represented by the position values on the y-axis.
Clarify the concept of acceleration: Acceleration is the rate of change of velocity with respect to time. It is not directly represented by the slope or area under a position vs. time graph.
Conclude with the correct statement: The correct statement is that the slope of a position vs. time graph represents velocity. The other options provided do not accurately describe the graph's features.
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