2.6 Distance Time Graphs Worksheet #2 featuring six graphs (a-f) illustrating different types of motion over time.

Final Answer:
Graphs a) and d) show linear relations between distance and time.

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Explanation:
Let’s look at what “linear” means here. In a distance-time graph, if the line is straight (not curved), then it’s linear. That means the object is moving at a steady speed — same distance every second or minute.

- Graph a): It’s a straight line going up. That means the person or object is moving away from the start at a constant speed. Like walking to school at the same pace the whole time.

- Graph d): It’s a straight line going down. That means the object is coming back toward the start at a steady speed. Like walking home from school at the same pace.

The other graphs (b, c, e, f) are curved or flat — not straight lines — so they’re not linear. For example:

- Graph c) is flat — no movement at all.
- Graph b) curves upward — speeding up.
- Graph f) goes up then down — changes direction and speed.

Only straight lines = linear.

So, only a) and d) are linear.