(m/s) 1.0 0.5 t (s) 0.60 0- 0.20 0.40

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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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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a)Determine the magnitude of the acceleration for the speeding up phase.
b)Determine the magnitude of the acceleration for the slowing down phase.
 
**Title: Understanding Velocity-Time Graphs**

**Velocity-Time Graph Analysis**

In the graph provided, we can analyze the motion of an object over a period of time. The graph plots the velocity (v) of the object in meters per second (m/s) on the vertical axis and the time (t) in seconds (s) on the horizontal axis. 

**Detailed Explanation:**

- **Axes and Units:**
  - **Vertical Axis (Velocity, v):** This axis represents the velocity of the object in meters per second (m/s). The values range from 0 to 1.0 m/s.
  - **Horizontal Axis (Time, t):** This axis represents the time in seconds (s). The values range from 0 to 0.60 seconds.

- **Graph Description:**
  - The graph starts at the origin (0,0), indicating that the velocity of the object is 0 m/s at 0 seconds.
  - As time progresses, the velocity increases linearly, reaching its peak velocity of 1.0 m/s at 0.20 seconds.
  - From 0.20 seconds to 0.40 seconds, the velocity decreases linearly, returning to 0 m/s at 0.40 seconds.
  - After 0.40 seconds, the velocity remains constant at 0 m/s until 0.60 seconds.

**Interpretation of the Motion:**

1. **Acceleration Phase (0 to 0.20 s):**
   - The object accelerates from rest to a velocity of 1.0 m/s in 0.20 seconds. This is indicated by the upward slope of the graph.

2. **Deceleration Phase (0.20 to 0.40 s):**
   - The object decelerates back to rest (0 m/s) over the next 0.20 seconds. This is indicated by the downward slope of the graph.

3. **Rest Phase (0.40 to 0.60 s):**
   - The object remains at rest with a velocity of 0 m/s for the remaining time from 0.40 seconds to 0.60 seconds. This is indicated by the flat line at the bottom of the graph.

By analyzing the velocity-time graph, we gain valuable insights into the motion of the object, including its periods of acceleration, deceleration, and constant velocity. Understanding such graphs is crucial for comprehending
Transcribed Image Text:**Title: Understanding Velocity-Time Graphs** **Velocity-Time Graph Analysis** In the graph provided, we can analyze the motion of an object over a period of time. The graph plots the velocity (v) of the object in meters per second (m/s) on the vertical axis and the time (t) in seconds (s) on the horizontal axis. **Detailed Explanation:** - **Axes and Units:** - **Vertical Axis (Velocity, v):** This axis represents the velocity of the object in meters per second (m/s). The values range from 0 to 1.0 m/s. - **Horizontal Axis (Time, t):** This axis represents the time in seconds (s). The values range from 0 to 0.60 seconds. - **Graph Description:** - The graph starts at the origin (0,0), indicating that the velocity of the object is 0 m/s at 0 seconds. - As time progresses, the velocity increases linearly, reaching its peak velocity of 1.0 m/s at 0.20 seconds. - From 0.20 seconds to 0.40 seconds, the velocity decreases linearly, returning to 0 m/s at 0.40 seconds. - After 0.40 seconds, the velocity remains constant at 0 m/s until 0.60 seconds. **Interpretation of the Motion:** 1. **Acceleration Phase (0 to 0.20 s):** - The object accelerates from rest to a velocity of 1.0 m/s in 0.20 seconds. This is indicated by the upward slope of the graph. 2. **Deceleration Phase (0.20 to 0.40 s):** - The object decelerates back to rest (0 m/s) over the next 0.20 seconds. This is indicated by the downward slope of the graph. 3. **Rest Phase (0.40 to 0.60 s):** - The object remains at rest with a velocity of 0 m/s for the remaining time from 0.40 seconds to 0.60 seconds. This is indicated by the flat line at the bottom of the graph. By analyzing the velocity-time graph, we gain valuable insights into the motion of the object, including its periods of acceleration, deceleration, and constant velocity. Understanding such graphs is crucial for comprehending
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