1. When is it speeding up?2. When is it slowing Down?3. When is it traveling at a constant speed? Suppose that the graph of the velocity function of a particle is as shown in the figure, where \( t \) is measured in seconds.**Graph Explanation:**- The graph is a piecewise linear function plotted on a coordinate plane with the vertical axis (\( y \)) representing velocity and the horizontal axis (\( x \)) representing time in seconds.1. **Segment 1 (0 to 1 second):** - Starts at the origin (0,0). - Velocity increases to 1 meter per second at 1 second.2. **Segment 2 (1 to 2 seconds):** - Maintains a constant velocity of 1 meter per second.3. **Segment 3 (2 to 4 seconds):** - Velocity decreases linearly from 1 meter per second to 0 meter per second.4. **Segment 4 (4 to 5 seconds):** - Velocity remains constant at 0 meter per second.5. **Segment 5 (5 to 6 seconds):** - Velocity decreases linearly from 0 meter per second to -1 meter per second at 6 seconds. This graph illustrates the changes in velocity over a 6-second interval, indicating acceleration and deceleration at various times.

Answered: 1. When is it speeding up? 2. When is…

Math

Calculus

1. When is it speeding up? 2. When is it slowing Down? 3. When is it traveling at a constant speed?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

1. When is it speeding up?

2. When is it slowing Down?

3. When is it traveling at a constant speed?

Suppose that the graph of the velocity function of a particle is as shown in the figure, where \( t \) is measured in seconds.

**Graph Explanation:**

- The graph is a piecewise linear function plotted on a coordinate plane with the vertical axis (\( y \)) representing velocity and the horizontal axis (\( x \)) representing time in seconds.

1. **Segment 1 (0 to 1 second):**
- Starts at the origin (0,0).
- Velocity increases to 1 meter per second at 1 second.

2. **Segment 2 (1 to 2 seconds):**
- Maintains a constant velocity of 1 meter per second.

3. **Segment 3 (2 to 4 seconds):**
- Velocity decreases linearly from 1 meter per second to 0 meter per second.

4. **Segment 4 (4 to 5 seconds):**
- Velocity remains constant at 0 meter per second.

5. **Segment 5 (5 to 6 seconds):**
- Velocity decreases linearly from 0 meter per second to -1 meter per second at 6 seconds.

This graph illustrates the changes in velocity over a 6-second interval, indicating acceleration and deceleration at various times.

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