Part I: Multi-Segment Graph Analysis
Interactive Class Challenge
Describe the object's direction and state of motion during each of the following intervals:
$0 - 3\text{ sec}$, $3 - 6\text{ sec}$, $6 - 8\text{ sec}$, and $8\text{ sec} +$
Motion Answers (Set A)
- $0 - 3 \text{ s}$ Increasing velocity (positive constant acceleration)
- $3 - 6 \text{ s}$ At rest ($V = 0 \text{ m/s}$)
- $6 - 8 \text{ s}$ Constant backward velocity ($V = -7.5 \text{ m/s}$)
- $8\text{ s} +$ Maintaining constant backward velocity ($V = -7.5 \text{ m/s}$)
Motion Answers (Set B)
- $0 - 3 \text{ s}$ Increasing acceleration ($a$)
- $3 - 6 \text{ s}$ Constant high velocity ($V = 15 \text{ m/s}$)
- $6 - 8 \text{ s}$ Constant deceleration ($a = -7.5 \text{ m/s}^2$)
- $8\text{ s} +$ Maintaining deceleration rate ($a = -7.5 \text{ m/s}^2$)
Part II: Interval Behavior Analysis
Complex Kinematic Plot Reference
Reference the curves below to analyze the velocity dynamics within the summary table.
Figure 2.1: Graph key for acceleration steps
| Time Interval (sec) | Motion Description | Acceleration ($a$) |
|---|---|---|
| $0 - 2$ | 📈 Speeding up | $a = -5 \text{ m/s}^2$ |
| $2 - 3$ | 📉 Slowing down to a stop | $a = 10 \text{ m/s}^2$ |
| $3 - 4$ | 📈 Speeding up | $a = 10 \text{ m/s}^2$ |
| $4 - \infty$ | ➡️ Constant Speed = $10 \text{ m/s}$ | $a = 0$ |