Distance Time Graph interactive worksheet - Free Printable

Let’s carefully analyze the Distance-Time Graph and match each labeled part with the correct term from the options provided.

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🔍 Understanding the Graph:

- The horizontal axis (X-axis) represents Time (seconds).
- The vertical axis (Y-axis) represents Distance (meters).
- The graph shows how distance changes over time — this is a classic motion graph.

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🧩 Labeling Each Arrow:

We’ll go clockwise starting from the top-left, then bottom, then right side.

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#### 1. Top-left arrow pointing to the Y-axis label “Distance (m)”

→ This is clearly the Y-axis, which measures distance in Meters.

✔ Correct label: Meters

*(Note: “Y-axis” is also an option, but since “Meters” specifically describes the unit on that axis, and it's more precise for labeling the axis label, we choose “Meters”. However, if the arrow points to the axis line itself, “Y-axis” would be better. But given the context, “Meters” fits best here as it’s labeling the *quantity* on the Y-axis.)*

Actually, looking at standard graph labeling conventions, the axis itself is labeled “Y-axis”, and the unit/label on it is “Meters”. Since the arrow points to the *text* “Distance (m)”, which includes the unit, “Meters” is appropriate.

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#### 2. Bottom-left arrow pointing to the origin (0,0)

→ This is where the graph starts — Starting point of the motion.

✔ Correct label: Starting point

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#### 3. Bottom-center arrow pointing to the X-axis label “Time (s)”

→ This is the X-axis, measuring time in Seconds.

✔ Correct label: Seconds

*(Again, “X-axis” is also an option, but “Seconds” is the unit being measured along that axis — similar reasoning as above.)*

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#### 4. Bottom-right arrow pointing to the end of the graph line (at ~17s, 0m)

→ This is where the motion ends — Ending point.

✔ Correct label: Ending point

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#### 5. Right-side arrow pointing to the downward sloping line (from 11s to 17s)

→ This segment shows distance decreasing over time — meaning the object is moving back toward the start. The slope is constant (straight line), so it’s moving at Constant speed (but in reverse direction).

✔ Correct label: Constant speed

*(Note: Even though it’s returning, “constant speed” still applies — speed is scalar, and the magnitude is constant.)*

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#### 6. Middle-right arrow pointing to the flat horizontal line (from 6s to 11s)

→ Distance is not changing — object is stationary.

✔ Correct label: No movement

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#### 7. Top-right arrow pointing to the upward sloping line (from 0s to 6s)

→ Distance increases steadily — object is moving away at Constant speed.

✔ Correct label: Constant speed

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#### 8. Top-center arrow pointing to the entire vertical axis line (Y-axis)

→ This is the Y-axis.

✔ Correct label: Y-axis

*(Important: If earlier we used “Meters” for the label text, now this arrow points to the *axis line*, so “Y-axis” is correct.)*

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#### 9. Bottom-center arrow pointing to the entire horizontal axis line (X-axis)

→ This is the X-axis.

✔ Correct label: X-axis

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✔ Final Matching:

Here’s how to fill each box based on the arrows’ positions:

| Position (Clockwise from Top-Left) | Label |
|------------------------------------|---------------------|
| Top-left (Y-axis label) | Meters |
| Bottom-left (Origin) | Starting point |
| Bottom-center (X-axis label) | Seconds |
| Bottom-right (End of graph) | Ending point |
| Right-side (Downward slope) | Constant speed |
| Middle-right (Flat line) | No movement |
| Top-right (Upward slope) | Constant speed |
| Top-center (Y-axis line) | Y-axis |
| Bottom-center (X-axis line) | X-axis |

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📌 Note:

Some terms like “Constant speed” are used twice — that’s correct because both the rising and falling straight-line segments represent constant speed (different directions, same rate).

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✔ Final Answer (Matching Labels to Arrows):

From top-left, going clockwise:

1. Meters
2. Starting point
3. Seconds
4. Ending point
5. Constant speed
6. No movement
7. Constant speed
8. Y-axis
9. X-axis

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This completes the labeling task accurately based on the graph and provided options.