Worksheet on Motion Graph Analysis Answer Key | Exercises Physics ... - Free Printable

The image you've uploaded is a motion graph analysis worksheet with six distance-time graphs (A–F) and six descriptions of motion. The task is to match each graph to the correct description based on the shape of the graph, which reflects how distance changes over time.

Let’s go through each graph and its corresponding description in detail, explaining why each match is correct.

---

🔍 Key Concept: Distance-Time Graphs

In a distance vs. time graph:
- The slope of the line represents speed.
- A flat horizontal line → zero speed (not moving).
- A straight diagonal line → constant speed.
- Steeper slope = higher speed.
- A curved line → changing speed (acceleration or deceleration).
- Curving upward → speeding up (positive acceleration).
- Curving downward → slowing down (negative acceleration / deceleration).
- If the distance decreases over time → object is moving backward (in reverse).

---

✔ Graph Analysis:

#### Graph A
- Shape: Horizontal line (flat)
- Interpretation: Distance does not change with time.
- Matches Description: 5. No Motion (stopped)
- ✔ Because: The distance is not changing — the object is at rest.

> ✔️ Correct answer: 5, because *the distance is not changing*.

---

#### Graph B
- Shape: Straight diagonal line starting from origin, steep slope
- Interpretation: Constant speed, high rate of speed (since slope is steep)
- Matches Description: 2. Constant Speed (high rate of speed)
- ✔ Because: The slope of the line is steep → high speed; straight line → constant speed.

> ✔️ Correct answer: 2, because *the slope of the line is steep*.

---

#### Graph C
- Shape: Straight diagonal line going downward
- Interpretation: Distance is decreasing over time → moving backward
- Matches Description: 6. Moving Backwards (constant velocity in reverse)
- ✔ Because: Distance is decreasing as time increases → object is returning toward the starting point at constant speed.

> ✔️ Correct answer: 6, because *distance is decreasing as time goes on*.

---

#### Graph D
- Shape: Curve that starts flat and becomes steeper (concave up)
- Interpretation: Speed is increasing over time → accelerating
- Matches Description: 1. Acceleration
- ✔ Because: The slope increases over time → speed is increasing.

> ✔️ Correct answer: 1, because *the line starts off "slow" and rapidly increases*.

---

#### Graph E
- Shape: Curve that starts steep and flattens out (concave down)
- Interpretation: Speed is decreasing over time → decelerating
- Matches Description: 4. Negative Acceleration (deceleration)
- ✔ Because: The slope decreases over time → slowing down.

> ✔️ Correct answer: 4, because *starts off fast and then levels off*.

---

#### Graph F
- Shape: Straight diagonal line, but shallow slope
- Interpretation: Constant speed, low rate of speed
- Matches Description: 3. Constant Speed (low rate of speed)
- ✔ Because: The slope is constant but not steep → slow, steady speed.

> ✔️ Correct answer: 3, because *the slope of the line is NOT steep*.

---

📝 Final Answers Summary:

| Graph | Matches Description | Reason |
|-------|---------------------|--------|
| A | 5. No Motion | Distance is not changing |
| B | 2. Constant Speed (high) | Slope is steep, straight line |
| C | 6. Moving Backwards | Distance decreasing over time |
| D | 1. Acceleration | Slope increases (speeding up) |
| E | 4. Deceleration | Slope decreases (slowing down) |
| F | 3. Constant Speed (low) | Straight line, shallow slope |

---

💡 Additional Notes:

- The handwritten note *"constant = straight line"* is correct — only straight lines represent constant speed.
- For curved lines, the change in slope tells us about acceleration.
- Distance here refers to position from start, so decreasing distance means moving back.

---

✔ All answers in the image are correct and well-reasoned! This appears to be a completed key for the worksheet.