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20. The graph below repres between distance and time of travel for an object moving in a straight line. Distance vs. Time d=5 € 4.0

20. The graph below repres between distance and time of travel for an object moving in a straight line. Distance vs. Time d=5 € 4.0

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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**Graph Analysis: Distance vs. Time** The graph illustrates the relationship between distance and time for an object moving in a straight line. The horizontal axis represents time in seconds (s), while the vertical axis represents distance in meters (m). - The graph shows a curve starting from the origin (0,0), indicating the object starts at no distance traveled. - As time progresses to 6 seconds, the distance covered increases, reaching slightly above 4 meters at its peak. **Instructions:** “Determine the instantaneous speed of the object at 1.5 seconds.” **Written Notes:** - The formula \(d = \frac{v}{t}\) is provided as a note, suggesting a relationship involving distance (d), velocity (v), and time (t). - Another note states "und read graph," likely emphasizing careful interpretation of the graph data. **Concepts:** - **Instantaneous Speed:** The speed of the object at a specific point in time, which can be found by determining the slope of the tangent to the curve at that particular point (1.5 seconds in this case). **Topic 2: Mechanics**
Transcribed Image Text:**Graph Analysis: Distance vs. Time** The graph illustrates the relationship between distance and time for an object moving in a straight line. The horizontal axis represents time in seconds (s), while the vertical axis represents distance in meters (m). - The graph shows a curve starting from the origin (0,0), indicating the object starts at no distance traveled. - As time progresses to 6 seconds, the distance covered increases, reaching slightly above 4 meters at its peak. **Instructions:** “Determine the instantaneous speed of the object at 1.5 seconds.” **Written Notes:** - The formula \(d = \frac{v}{t}\) is provided as a note, suggesting a relationship involving distance (d), velocity (v), and time (t). - Another note states "und read graph," likely emphasizing careful interpretation of the graph data. **Concepts:** - **Instantaneous Speed:** The speed of the object at a specific point in time, which can be found by determining the slope of the tangent to the curve at that particular point (1.5 seconds in this case). **Topic 2: Mechanics**
### Physics Problems and Graphical Analysis **Question 21:** A boat heads directly eastward across a river at 12 meters per second. If the current in the river is flowing at 5.0 meters per second due south, what is the magnitude of the boat's resultant velocity? Options: (1) 7.0 m/s (2) 8.5 m/s (3) 13 m/s (4) 17 m/s **Question 22:** Which pair of graphs represents the same motion? 1. Graph 1: - Distance vs. Time: Non-linear, increasing curve (concave up). - Speed vs. Time: Linear, increasing line. 2. Graph 2: - Distance vs. Time: Linear, increasing line. - Speed vs. Time: Horizontal line, constant speed. 3. Graph 3: - Distance vs. Time: Non-linear, increasing curve (concave down). - Speed vs. Time: Non-linear, decreasing curve. 4. Graph 4: - Distance vs. Time: Linear, increasing line. - Speed vs. Time: Linear, increasing line. **Question 23:** The graph below represents the motion of a body moving along a straight line. - **Graph:** Velocity vs. Time - The graph is a diagonal line with a positive slope, indicating a constant positive acceleration. **Question:** Which quantity related to the motion of the body is constant? Options: (1) Speed (2) Velocity (3) Acceleration (4) Displacement ### Explanation of Graphs - The Distance vs. Time graphs depict how an object's position changes with time. A linear line indicates constant speed, while a curve indicates changing speed or acceleration. - The Speed vs. Time graphs show how speed changes over time. A horizontal line indicates constant speed, and a sloped line indicates acceleration or deceleration. --- This content provides a foundational understanding of how motion is represented graphically and the relationships between distance, speed, velocity, and time.
Transcribed Image Text:### Physics Problems and Graphical Analysis **Question 21:** A boat heads directly eastward across a river at 12 meters per second. If the current in the river is flowing at 5.0 meters per second due south, what is the magnitude of the boat's resultant velocity? Options: (1) 7.0 m/s (2) 8.5 m/s (3) 13 m/s (4) 17 m/s **Question 22:** Which pair of graphs represents the same motion? 1. Graph 1: - Distance vs. Time: Non-linear, increasing curve (concave up). - Speed vs. Time: Linear, increasing line. 2. Graph 2: - Distance vs. Time: Linear, increasing line. - Speed vs. Time: Horizontal line, constant speed. 3. Graph 3: - Distance vs. Time: Non-linear, increasing curve (concave down). - Speed vs. Time: Non-linear, decreasing curve. 4. Graph 4: - Distance vs. Time: Linear, increasing line. - Speed vs. Time: Linear, increasing line. **Question 23:** The graph below represents the motion of a body moving along a straight line. - **Graph:** Velocity vs. Time - The graph is a diagonal line with a positive slope, indicating a constant positive acceleration. **Question:** Which quantity related to the motion of the body is constant? Options: (1) Speed (2) Velocity (3) Acceleration (4) Displacement ### Explanation of Graphs - The Distance vs. Time graphs depict how an object's position changes with time. A linear line indicates constant speed, while a curve indicates changing speed or acceleration. - The Speed vs. Time graphs show how speed changes over time. A horizontal line indicates constant speed, and a sloped line indicates acceleration or deceleration. --- This content provides a foundational understanding of how motion is represented graphically and the relationships between distance, speed, velocity, and time.
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