Graphing Acceleration Figure 7 This table lists the distance the bike travels from the top of the hill and the speed of the bike at each second as it accelerates down the hill. Time (s) 0 1 2 3 4 5 Distance (m) 0 1 4 9 16 25 Speed (m/s) 0 2 4 6 8 10 45 1. Create a Graph/Use the data in the table to create a 5s distance-versus-time graph on the first grid. Plot distance on the vertical axis and time on the horizontal axis. 2. Create a Graph On the second grid, create a speed-versus-time graph. Plot speed on the vertical axis and time on the horizontal axis. 3. Apply Concepts Compare the distance-versus-time graph in this figure to the distance- versus-time graph in the Math Toolbox in this lesson. Why does one graph have a straight line, while the other graph has a curved line?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Graphing Acceleration**

*Figure 7* illustrates the distance a bike travels from the top of a hill and the speed of the bike at each second as it accelerates downhill.

| Time (s) | Distance (m) | Speed (m/s) |
|----------|--------------|-------------|
| 0        | 0            | 0           |
| 1        | 1            | 2           |
| 2        | 4            | 4           |
| 3        | 9            | 6           |
| 4        | 16           | 8           |
| 5        | 25           | 10          |

**Instructions:**

1. **Create a Graph:**
   - Use the data in the table to create a distance-versus-time graph on the first grid.
   - Plot distance on the vertical axis and time on the horizontal axis.

2. **Create a Second Graph:**
   - On the second grid, create a speed-versus-time graph.
   - Plot speed on the vertical axis and time on the horizontal axis.

3. **Apply Concepts:**
   - Compare the distance-versus-time graph with a similar graph in the Math Toolbox of this lesson.
   - Consider why one graph might have a straight line while the other has a curved line.

**Grids:**

- The image provides two empty grids for plotting graphs:
  - **Grid 1:** For the distance-versus-time graph.
  - **Grid 2:** For the speed-versus-time graph.

Analyze the data and create graphs to visualize the relationship between time, distance, and speed for the bike's acceleration down the hill.
Transcribed Image Text:**Graphing Acceleration** *Figure 7* illustrates the distance a bike travels from the top of a hill and the speed of the bike at each second as it accelerates downhill. | Time (s) | Distance (m) | Speed (m/s) | |----------|--------------|-------------| | 0 | 0 | 0 | | 1 | 1 | 2 | | 2 | 4 | 4 | | 3 | 9 | 6 | | 4 | 16 | 8 | | 5 | 25 | 10 | **Instructions:** 1. **Create a Graph:** - Use the data in the table to create a distance-versus-time graph on the first grid. - Plot distance on the vertical axis and time on the horizontal axis. 2. **Create a Second Graph:** - On the second grid, create a speed-versus-time graph. - Plot speed on the vertical axis and time on the horizontal axis. 3. **Apply Concepts:** - Compare the distance-versus-time graph with a similar graph in the Math Toolbox of this lesson. - Consider why one graph might have a straight line while the other has a curved line. **Grids:** - The image provides two empty grids for plotting graphs: - **Grid 1:** For the distance-versus-time graph. - **Grid 2:** For the speed-versus-time graph. Analyze the data and create graphs to visualize the relationship between time, distance, and speed for the bike's acceleration down the hill.
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