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What is the acceleration of the cat at t= 7.2 s? (a) –9.8 m/s? (b) 0.0 m/s (c) 0.67 m/s² (d) -2.0 m/s? 3. What was cat's average velocity during the first six seconds depicted in the graph? (a) 3.2 m/s (b) 3.0 m/s (c) 2.6 m/s (d) 7.5 m/s 2.

What is the acceleration of the cat at t= 7.2 s? (a) –9.8 m/s? (b) 0.0 m/s (c) 0.67 m/s² (d) -2.0 m/s? 3. What was cat's average velocity during the first six seconds depicted in the graph? (a) 3.2 m/s (b) 3.0 m/s (c) 2.6 m/s (d) 7.5 m/s 2.

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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Hello I need help with these questions. The graph is attached separately.
The image depicts a graph of \( v(t) \) against time \( t \). Below is a detailed explanation for educational purposes. ### Graph Analysis: Velocity-Time Graph #### Axes - **Horizontal Axis (x-axis)**: Represents time \( t \) measured in seconds (s), with values ranging from 0 to 9. - **Vertical Axis (y-axis)**: Represents velocity \( v(t) \) measured in meters per second (m/s), with values ranging from 0 to 5. #### Key Points and Trends 1. **Initial Phase (0 to 1 second)**: - The graph starts at \( v(0) = 2 \) m/s. - The velocity remains constant at 2 m/s from \( t = 0 \) to \( t = 1 \) s. 2. **Acceleration Phase (1 to 3 seconds)**: - From \( t = 1 \) s to \( t = 3 \) s, the velocity increases linearly from 2 m/s to 4 m/s. - This indicates a constant acceleration during this period. 3. **Constant Velocity Phase (3 to 6 seconds)**: - From \( t = 3 \) s to \( t = 6 \) s, the velocity remains constant at 4 m/s. - This suggests no acceleration, indicating uniform motion. 4. **Deceleration Phase (6 to 8 seconds)**: - From \( t = 6 \) s to \( t = 8 \) s, the velocity decreases linearly from 4 m/s back to 0 m/s. - This indicates a constant deceleration. 5. **End Phase (after 8 seconds)**: - At \( t = 8 \) s, the velocity reaches 0 m/s and remains there for the remainder of the graph. #### Summary - The graph illustrates different phases of motion: initial constant velocity, acceleration, another period of constant velocity, deceleration, and finally coming to rest. - The key to understanding this graph lies in observing the slope of the velocity-time curve, which indicates acceleration (positive slope), deceleration (negative slope), or constant velocity (zero slope). Understanding such graphs is crucial in physics as they help in analyzing the motion of objects over time, aiding in the comprehensive study of kinematics.
Transcribed Image Text:The image depicts a graph of \( v(t) \) against time \( t \). Below is a detailed explanation for educational purposes. ### Graph Analysis: Velocity-Time Graph #### Axes - **Horizontal Axis (x-axis)**: Represents time \( t \) measured in seconds (s), with values ranging from 0 to 9. - **Vertical Axis (y-axis)**: Represents velocity \( v(t) \) measured in meters per second (m/s), with values ranging from 0 to 5. #### Key Points and Trends 1. **Initial Phase (0 to 1 second)**: - The graph starts at \( v(0) = 2 \) m/s. - The velocity remains constant at 2 m/s from \( t = 0 \) to \( t = 1 \) s. 2. **Acceleration Phase (1 to 3 seconds)**: - From \( t = 1 \) s to \( t = 3 \) s, the velocity increases linearly from 2 m/s to 4 m/s. - This indicates a constant acceleration during this period. 3. **Constant Velocity Phase (3 to 6 seconds)**: - From \( t = 3 \) s to \( t = 6 \) s, the velocity remains constant at 4 m/s. - This suggests no acceleration, indicating uniform motion. 4. **Deceleration Phase (6 to 8 seconds)**: - From \( t = 6 \) s to \( t = 8 \) s, the velocity decreases linearly from 4 m/s back to 0 m/s. - This indicates a constant deceleration. 5. **End Phase (after 8 seconds)**: - At \( t = 8 \) s, the velocity reaches 0 m/s and remains there for the remainder of the graph. #### Summary - The graph illustrates different phases of motion: initial constant velocity, acceleration, another period of constant velocity, deceleration, and finally coming to rest. - The key to understanding this graph lies in observing the slope of the velocity-time curve, which indicates acceleration (positive slope), deceleration (negative slope), or constant velocity (zero slope). Understanding such graphs is crucial in physics as they help in analyzing the motion of objects over time, aiding in the comprehensive study of kinematics.
**Physics: Velocity-Time Graphs** ### Analyzing Velocity-Time Graphs Refer to the velocity-time graph to the right, showing nine seconds in the life of a cat. All values are in standard metric units (SI) and are considered accurate to two significant figures. #### 2. Determining Acceleration __Question:__ What is the acceleration of the cat at \( t = 7.2 \) s? (a) -9.8 m/s² (b) 0.0 m/s² (c) 0.67 m/s² (d) -2.0 m/s² #### 3. Calculating Average Velocity __Question:__ What was the cat's average velocity during the first six seconds depicted in the graph? (a) 3.2 m/s (b) 3.0 m/s (c) 2.6 m/s (d) 7.5 m/s ### Detailed Explanation of the Graph The graph displays velocity (\( v(t) \)) on the y-axis, ranging from -2 m/s to 5 m/s, and time (\( t \)) on the x-axis, ranging from 0 to 9 seconds. The graph consists of five different segments: 1. **From 0 to 1 second:** The cat moves at a constant velocity of 2 m/s. 2. **From 1 to 4 seconds:** There is a linear increase in velocity from 2 m/s to 5 m/s. 3. **From 4 to 6 seconds:** The velocity remains constant at 5 m/s. 4. **From 6 to 8 seconds:** The velocity decreases linearly from 5 m/s to -2 m/s. 5. **From 8 to 9 seconds:** The velocity remains constant at -2 m/s. By analyzing this graph, students can answer questions related to acceleration and average velocity over specific intervals.
Transcribed Image Text:**Physics: Velocity-Time Graphs** ### Analyzing Velocity-Time Graphs Refer to the velocity-time graph to the right, showing nine seconds in the life of a cat. All values are in standard metric units (SI) and are considered accurate to two significant figures. #### 2. Determining Acceleration __Question:__ What is the acceleration of the cat at \( t = 7.2 \) s? (a) -9.8 m/s² (b) 0.0 m/s² (c) 0.67 m/s² (d) -2.0 m/s² #### 3. Calculating Average Velocity __Question:__ What was the cat's average velocity during the first six seconds depicted in the graph? (a) 3.2 m/s (b) 3.0 m/s (c) 2.6 m/s (d) 7.5 m/s ### Detailed Explanation of the Graph The graph displays velocity (\( v(t) \)) on the y-axis, ranging from -2 m/s to 5 m/s, and time (\( t \)) on the x-axis, ranging from 0 to 9 seconds. The graph consists of five different segments: 1. **From 0 to 1 second:** The cat moves at a constant velocity of 2 m/s. 2. **From 1 to 4 seconds:** There is a linear increase in velocity from 2 m/s to 5 m/s. 3. **From 4 to 6 seconds:** The velocity remains constant at 5 m/s. 4. **From 6 to 8 seconds:** The velocity decreases linearly from 5 m/s to -2 m/s. 5. **From 8 to 9 seconds:** The velocity remains constant at -2 m/s. By analyzing this graph, students can answer questions related to acceleration and average velocity over specific intervals.
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