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2. The position-time graph below shows the a little too far into the intersection, and backs up. acceleration is constant. A B

2. The position-time graph below shows the a little too far into the intersection, and backs up. acceleration is constant. A B

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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### Educational Material on Position-Time Graphs #### Understanding the Graph This educational exercise involves analyzing a position-time graph that illustrates the scenario of a motorist approaching a stoplight, overshooting the intersection, and then reversing. The graph is segmented by vertical dashed lines indicating key intervals (labeled A, B, C, D, and E), where the acceleration is constant within each segment. **Graph Description:** - **Axes:** - The vertical axis (x-axis) represents the position of the motorist. - The horizontal axis (t-axis) represents time. - **Key Points (A, B, C, D, E):** - Between 0 and A: The position curve ascends, indicating forward movement. - Between A and B: The slope levels off, reaching a constant level. - Between B and C: Position remains constant, indicating no movement. - Between C and D: Position decreases, indicating backward movement. - Between D and E: Position becomes constant again, stabilizing at a lower value compared to point C. #### Table Analysis The table is designed to be filled with the sign of velocity (v) and acceleration (a) during each interval, using the symbols "+", "-", or "0". - **Interval 0 - A:** - v: + - a: + (speeding up) - **Interval A - B:** - v: + - a: 0 (constant velocity) - **Interval B - C:** - v: 0 - a: 0 (at rest) - **Interval C - D:** - v: - - a: - (slowing down while reversing) - **Interval D - E:** - v: 0 - a: 0 (at rest) - **After E:** - v: 0 - a: 0 (stays at rest) #### Plotting Velocity vs. Time To complete the analysis, plot the velocity versus time: - **0 to A:** Positive slope indicating increasing velocity. - **A to B:** Horizontal line indicating constant positive velocity. - **B to C:** Velocity at zero. - **C to D:** Negative slope indicating decreasing velocity as the motorist reverses. - **D to E and After E:** Velocity remains at zero. This exercise helps in understanding the relationship between
Transcribed Image Text:### Educational Material on Position-Time Graphs #### Understanding the Graph This educational exercise involves analyzing a position-time graph that illustrates the scenario of a motorist approaching a stoplight, overshooting the intersection, and then reversing. The graph is segmented by vertical dashed lines indicating key intervals (labeled A, B, C, D, and E), where the acceleration is constant within each segment. **Graph Description:** - **Axes:** - The vertical axis (x-axis) represents the position of the motorist. - The horizontal axis (t-axis) represents time. - **Key Points (A, B, C, D, E):** - Between 0 and A: The position curve ascends, indicating forward movement. - Between A and B: The slope levels off, reaching a constant level. - Between B and C: Position remains constant, indicating no movement. - Between C and D: Position decreases, indicating backward movement. - Between D and E: Position becomes constant again, stabilizing at a lower value compared to point C. #### Table Analysis The table is designed to be filled with the sign of velocity (v) and acceleration (a) during each interval, using the symbols "+", "-", or "0". - **Interval 0 - A:** - v: + - a: + (speeding up) - **Interval A - B:** - v: + - a: 0 (constant velocity) - **Interval B - C:** - v: 0 - a: 0 (at rest) - **Interval C - D:** - v: - - a: - (slowing down while reversing) - **Interval D - E:** - v: 0 - a: 0 (at rest) - **After E:** - v: 0 - a: 0 (stays at rest) #### Plotting Velocity vs. Time To complete the analysis, plot the velocity versus time: - **0 to A:** Positive slope indicating increasing velocity. - **A to B:** Horizontal line indicating constant positive velocity. - **B to C:** Velocity at zero. - **C to D:** Negative slope indicating decreasing velocity as the motorist reverses. - **D to E and After E:** Velocity remains at zero. This exercise helps in understanding the relationship between
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