E F 'D C G Where on the graph is the object speeding up? C to D Where on the graph is the object slowing down? F to G Where on the graph is the object not moving? B to C B

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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 and Analysis of Motion

**Graph Description:**
The graph is a position-time graph with position \(x\) on the vertical axis and time \(t\) on the horizontal axis. It illustrates the motion of an object over time, represented by points labeled A through G.

- **A to B:** The curve shows an upward slope, indicating the object is speeding up.
- **B to C:** The line is horizontal, indicating the object is not moving.
- **C to D:** The curve shows a positive slope, indicating the object is speeding up.
- **D to E:** The curve peaks, indicating the transition from speeding up to slowing down.
- **E to F:** The curve slopes downward, indicating the object is slowing down.
- **F to G:** The slope steepens downwards, indicating the object continues to slow down.

**Questions:**

1. **Where on the graph is the object speeding up?**
   - *Answer:* C to D

2. **Where on the graph is the object slowing down?**
   - *Answer:* F to G

3. **Where on the graph is the object not moving?**
   - *Answer:* B to C

This analysis helps understand the different phases of motion—acceleration, constant speed, and deceleration—depicted by the graph.
Transcribed Image Text:### Graph and Analysis of Motion **Graph Description:** The graph is a position-time graph with position \(x\) on the vertical axis and time \(t\) on the horizontal axis. It illustrates the motion of an object over time, represented by points labeled A through G. - **A to B:** The curve shows an upward slope, indicating the object is speeding up. - **B to C:** The line is horizontal, indicating the object is not moving. - **C to D:** The curve shows a positive slope, indicating the object is speeding up. - **D to E:** The curve peaks, indicating the transition from speeding up to slowing down. - **E to F:** The curve slopes downward, indicating the object is slowing down. - **F to G:** The slope steepens downwards, indicating the object continues to slow down. **Questions:** 1. **Where on the graph is the object speeding up?** - *Answer:* C to D 2. **Where on the graph is the object slowing down?** - *Answer:* F to G 3. **Where on the graph is the object not moving?** - *Answer:* B to C This analysis helps understand the different phases of motion—acceleration, constant speed, and deceleration—depicted by the graph.
**Difficulty (Level: 3)**

**Question:**  
What is the total distance the object covered for the full 30 seconds?

**Graph Description:**  
The graph is a velocity-time graph with the x-axis labeled "Time (s)" ranging from 0 to 30 seconds and the y-axis labeled "Velocity (m/s)" ranging from -20 to 60 m/s. The graph consists of several segments, each represented by different colors:

1. **Cyan Line (0s to 3s):** Constant velocity at 5 m/s.
2. **Black Line (3s to 6s):** Decreasing velocity from 5 m/s to -10 m/s.
3. **Orange Line (6s to 10s):** Constant velocity at approximately -10 m/s.
4. **Red Line (10s to 16s):** Constant velocity at approximately -15 m/s.
5. **Purple Line (16s to 21s):** Constant velocity at approximately -10 m/s.
6. **Blue Line (21s to 24s):** Increasing velocity from -10 m/s to 0 m/s.
7. **Pink Line (24s to 30s):** Increasing velocity from 0 m/s to 50 m/s.

**Calculation Box:**
- d = [ ] unit
- direction: [Dropdown menu with options]

**Instructions:**  
Determine the total distance covered by calculating the area under each segment of the graph from 0 to 30 seconds, taking into account both positive and negative velocities.
Transcribed Image Text:**Difficulty (Level: 3)** **Question:** What is the total distance the object covered for the full 30 seconds? **Graph Description:** The graph is a velocity-time graph with the x-axis labeled "Time (s)" ranging from 0 to 30 seconds and the y-axis labeled "Velocity (m/s)" ranging from -20 to 60 m/s. The graph consists of several segments, each represented by different colors: 1. **Cyan Line (0s to 3s):** Constant velocity at 5 m/s. 2. **Black Line (3s to 6s):** Decreasing velocity from 5 m/s to -10 m/s. 3. **Orange Line (6s to 10s):** Constant velocity at approximately -10 m/s. 4. **Red Line (10s to 16s):** Constant velocity at approximately -15 m/s. 5. **Purple Line (16s to 21s):** Constant velocity at approximately -10 m/s. 6. **Blue Line (21s to 24s):** Increasing velocity from -10 m/s to 0 m/s. 7. **Pink Line (24s to 30s):** Increasing velocity from 0 m/s to 50 m/s. **Calculation Box:** - d = [ ] unit - direction: [Dropdown menu with options] **Instructions:** Determine the total distance covered by calculating the area under each segment of the graph from 0 to 30 seconds, taking into account both positive and negative velocities.
Expert Solution
Step 1

The curve on a graph of position versus time represents the velocity. In the given graph the curve represents the speed or velocity of the object. The velocity represents the variation in the position of the object with respect to time.

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