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Sketch the v vs. t graph for the object whose displacement as a function of time is given by the graph attached below:

Sketch the v vs. t graph for the object whose displacement as a function of time is given by the graph attached below:

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Sketch the v vs. t graph for the object whose displacement as a function of time is given by the graph attached below:

The image depicts a graph titled "x (m)" on the vertical axis and "t (s)" on the horizontal axis. The graph illustrates the position of an object in meters (x) as a function of time in seconds (t). ### Description of the Graph: - **Axes**: - The horizontal axis (x-axis) is labeled "t (s)" and represents time in seconds, ranging from 0 to 50 seconds. - The vertical axis (y-axis) is labeled "x (m)" and represents position in meters, ranging from 0 to 20 meters. - **Graph Behavior**: - The line starts at the origin (0,0), indicating that at time t = 0 seconds, the position x = 0 meters. - From 0 to roughly 25 seconds, the line shows a gradual increase in position, indicating a steady movement forward. - Between 25 and 40 seconds, the slope of the line increases, reaching a peak around 35 seconds at approximately 18 meters. - After 40 seconds, the line begins to descend, indicating a decrease in position, ending around 16 meters at 50 seconds. ### Interpretation: This graph represents the motion of an object over time, showing periods of acceleration and deceleration. The initial steady increase suggests constant speed, followed by a period of acceleration. After reaching the maximum position, the object decelerates, moving back slightly.
Transcribed Image Text:The image depicts a graph titled "x (m)" on the vertical axis and "t (s)" on the horizontal axis. The graph illustrates the position of an object in meters (x) as a function of time in seconds (t). ### Description of the Graph: - **Axes**: - The horizontal axis (x-axis) is labeled "t (s)" and represents time in seconds, ranging from 0 to 50 seconds. - The vertical axis (y-axis) is labeled "x (m)" and represents position in meters, ranging from 0 to 20 meters. - **Graph Behavior**: - The line starts at the origin (0,0), indicating that at time t = 0 seconds, the position x = 0 meters. - From 0 to roughly 25 seconds, the line shows a gradual increase in position, indicating a steady movement forward. - Between 25 and 40 seconds, the slope of the line increases, reaching a peak around 35 seconds at approximately 18 meters. - After 40 seconds, the line begins to descend, indicating a decrease in position, ending around 16 meters at 50 seconds. ### Interpretation: This graph represents the motion of an object over time, showing periods of acceleration and deceleration. The initial steady increase suggests constant speed, followed by a period of acceleration. After reaching the maximum position, the object decelerates, moving back slightly.
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