Sketch the speed time graph of the automobile for the journey

Question

GPT-4o · Answer

To create a speed-time graph of an automobile's journey, one needs specific details about the journey such as duration, changes in speed, periods of rest, acceleration, and deceleration phases. Since that information isn't provided, I'll outline a general example of how such a graph might look. Let's divide a hypothetical journey into four phases:

1. **Acceleration Phase**: The automobile starts from rest and accelerates uniformly.
2. **Constant Speed Phase**: The automobile travels at a constant speed.
3. **Deceleration Phase**: The automobile decelerates uniformly to a stop.
4. **Rest Phase**: The automobile remains at rest.

### Speed-Time Graph Description:

1. **Acceleration Phase**:
- **Time Interval**: 0 to t1
- **Graph Shape**: A straight, rising line starting from the origin (0,0) and ending at (t1, v1) where v1 is the constant speed attained.

2. **Constant Speed Phase**:
- **Time Interval**: t1 to t2
- **Graph Shape**: A horizontal line from (t1, v1) to (t2, v1) indicating constant speed v1.

3. **Deceleration Phase**:
- **Time Interval**: t2 to t3
- **Graph Shape**: A straight, declining line from (t2, v1) to (t3, 0) ending at the time the automobile comes to rest.

4. **Rest Phase**:
- **Time Interval**: t3 to t4
- **Graph Shape**: A horizontal line on the time axis from (t3, 0) to (t4, 0) showing the automobile is at rest.

### Sketch of the Graph:

- Start the x-axis (time) and y-axis (speed) both at zero.
- Draw a line segment from the origin (0,0) to the point (t1, v1) with a positive slope.
- From point (t1, v1), draw a horizontal line to (t2, v1) indicating constant speed.
- Draw a line segment from (t2, v1) down to (t3, 0), showing the deceleration.
- From point (t3, 0), draw a horizontal line to (t4, 0).

This simple graph visually represents the various phases of the journey for the automobile, making it easy to understand how the speed changes over time. For a more accurate graph, you would need exact values for times and speeds during each phase of the journey.