The image displays six position-time graphs representing a car's motion. Each graph is labeled from 1 to 6. The horizontal axis (t) represents time, while the vertical axis (x) represents position.### Graph Explanations:1. **Graph 1:** - A straight horizontal line, indicating constant position over time. 2. **Graph 2:** - A curve that starts with a shallow slope, steepens as time progresses. - Shows acceleration.3. **Graph 3:** - A straight line with a positive slope. - Consistent, positive velocity.4. **Graph 4:** - A straight line with a negative slope. - Consistent, negative velocity.5. **Graph 5:** - A curve that starts steep and slowly levels out to flat. - Deceleration.6. **Graph 6:** - A steep curve that becomes less steep over time. - Deceleration or a slowing rate of position change.### Questions for Analysis:1. **Starting point: \(x_0\)** - Identify the initial position on each graph.2. **Position after time \(t\):** - Determine the final position reached after a specified time interval.3. **Is the car heading in the positive or negative direction? Explain.** - Evaluate whether the graph shows motion in the positive or negative direction based on the slope.4. **Is the car speeding up, slowing down (decelerating), or moving with constant velocity? Explain.** - Analyze the shapes of the graphs for changes in velocity.5. **On the x-t graphs, identify locations where the rate of change of \(x\) with time is large and small.** - Locate areas with steep slopes (large rate of change) and flat sections (small rate of change).

Name: The image displays six position-time graphs representing a car's moti
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: The image displays six position-time graphs representing a car's motion. Each graph is labeled from 1 to 6. The horizontal axis (t) represents time, while the vertical axis (x) represents position.### Graph Explanations:1. **Graph 1:** - A straigh