**Ordering Velocity over Time Graphs by Displacement**Consider the following velocity over time graphs. Order them by displacement during the time a line is shown on the graph. Order from least to greatest. ### Graph Descriptions:1. **Graph on the Left:** - **Line A:** - Starts at (0 s, 0 m/s) and ends at (25 s, 30 m/s). - **Line B:** - Starts at (0 s, 40 m/s) and ends at (25 s, 50 m/s).2. **Graph on the Right:** - **Line C:** - Starts at (0 s, 20 m/s) and remains constant until (25 s, 20 m/s). - **Line D:** - Starts at (0 s, 40 m/s) and remains constant until (25 s, 40 m/s).### Analysis:To find the displacement, calculate the area under each line:1. **Line A (Left Graph):** - A triangle with base = 25 s and height = 30 m/s. - Area = 1/2 * base * height = 1/2 * 25 s * 30 m/s = 375 m.2. **Line B (Left Graph):** - Trapezoid with the following bases and height: - Base 1: 40 m/s - Base 2: 50 m/s - Height: 25 s - Area = 1/2 * (Base 1 + Base 2) * height = 1/2 * (40 m/s + 50 m/s) * 25 s = 1/2 * 90 m/s * 25 s = 1125 m.3. **Line C (Right Graph):** - A rectangle with base = 25 s and height = 20 m/s. - Area = base * height = 25 s * 20 m/s = 500 m.4. **Line D (Right Graph):** - A rectangle with base = 25 s and height = 40 m/s. - Area = base * height = 25 s * 40 m/s = 1000 m.### Order Lines by Displacement (Least to Greatest):- A- C

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Answered: Consider the following velocity over…

Consider the following velocity over time graphs. Order them by displacement during the time a line is shown on the graph. Order from least to greatest. 50----------||²||||| 50 DESTRU

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Question

**Ordering Velocity over Time Graphs by Displacement**

Consider the following velocity over time graphs. Order them by displacement during the time a line is shown on the graph. Order from least to greatest.

### Graph Descriptions:

1. **Graph on the Left:**
- **Line A:**
- Starts at (0 s, 0 m/s) and ends at (25 s, 30 m/s).
- **Line B:**
- Starts at (0 s, 40 m/s) and ends at (25 s, 50 m/s).

2. **Graph on the Right:**
- **Line C:**
- Starts at (0 s, 20 m/s) and remains constant until (25 s, 20 m/s).
- **Line D:**
- Starts at (0 s, 40 m/s) and remains constant until (25 s, 40 m/s).

### Analysis:

To find the displacement, calculate the area under each line:
1. **Line A (Left Graph):**
- A triangle with base = 25 s and height = 30 m/s.
- Area = 1/2 * base * height = 1/2 * 25 s * 30 m/s = 375 m.

2. **Line B (Left Graph):**
- Trapezoid with the following bases and height:
- Base 1: 40 m/s
- Base 2: 50 m/s
- Height: 25 s
- Area = 1/2 * (Base 1 + Base 2) * height = 1/2 * (40 m/s + 50 m/s) * 25 s = 1/2 * 90 m/s * 25 s = 1125 m.

3. **Line C (Right Graph):**
- A rectangle with base = 25 s and height = 20 m/s.
- Area = base * height = 25 s * 20 m/s = 500 m.

4. **Line D (Right Graph):**
- A rectangle with base = 25 s and height = 40 m/s.
- Area = base * height = 25 s * 40 m/s = 1000 m.

### Order Lines by Displacement (Least to Greatest):

- A
- C

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