12. The Tesla Model S-Can accelerate to high speeds very quickly. The table below shows test data for the Tesla Model S as it travels along a straight line. a. Sketch a velocity vs time graph for this car. 1413

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### The Tesla Model S – Acceleration Analysis

#### Data and Graphing

The table below provides test data for the Tesla Model S as it travels along a straight line. The task is to sketch a velocity vs. time graph for this car.

| Speed (km/h) | Time (s) |
|--------------|----------|
| 0            | 0.0      |
| 10           | 0.2      |
| 20           | 0.4      |
| 30           | 0.6      |
| 40           | 0.9      |
| 50           | 1.2      |
| 60           | 1.6      |
| 70           | 2.0      |
| 80           | 2.4      |
| 90           | 2.9      |
| 100          | 3.5      |
| 110          | 4.1      |
| 120          | 4.8      |

On the graph, the x-axis represents time in seconds, ranging from 0 to 5 seconds. The y-axis represents speed in km/h, ranging from 0 to 140 km/h.

#### Analytical Questions

b. **Acceleration Description:**
   - How is the acceleration of this car best described? Options may include zero, constant but not zero, increasing, decreasing, or something else. Explanation required based on the data or graph analysis.

c. **Average Acceleration Calculations:**

Calculate the car’s average acceleration in m/s² for the following time intervals:

i. **0 to 0.9 s**

ii. **0.9 to 2.0 s**

iii. **2.0 to 2.9 s**

iv. **2.9 to 4.1 s**

v. **0 to 4.1 s**

Additionally, determine approximately how far the Model S has travelled once it reaches 120 km/h.
Transcribed Image Text:### The Tesla Model S – Acceleration Analysis #### Data and Graphing The table below provides test data for the Tesla Model S as it travels along a straight line. The task is to sketch a velocity vs. time graph for this car. | Speed (km/h) | Time (s) | |--------------|----------| | 0 | 0.0 | | 10 | 0.2 | | 20 | 0.4 | | 30 | 0.6 | | 40 | 0.9 | | 50 | 1.2 | | 60 | 1.6 | | 70 | 2.0 | | 80 | 2.4 | | 90 | 2.9 | | 100 | 3.5 | | 110 | 4.1 | | 120 | 4.8 | On the graph, the x-axis represents time in seconds, ranging from 0 to 5 seconds. The y-axis represents speed in km/h, ranging from 0 to 140 km/h. #### Analytical Questions b. **Acceleration Description:** - How is the acceleration of this car best described? Options may include zero, constant but not zero, increasing, decreasing, or something else. Explanation required based on the data or graph analysis. c. **Average Acceleration Calculations:** Calculate the car’s average acceleration in m/s² for the following time intervals: i. **0 to 0.9 s** ii. **0.9 to 2.0 s** iii. **2.0 to 2.9 s** iv. **2.9 to 4.1 s** v. **0 to 4.1 s** Additionally, determine approximately how far the Model S has travelled once it reaches 120 km/h.
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