Worksheet on position, distance, and displacement with a diagram showing motion along a number line.

It looks like you've uploaded a worksheet titled "Position, Distance, and Displacement", which includes several questions related to motion, position, distance, and displacement. However, I can't see the actual image or figure referenced in the questions (such as the number line with points A, B, C, etc.).

But based on the text of the worksheet and typical setups for such problems, I’ll solve each question assuming a standard number line where:

- Points are labeled on a horizontal line.
- The positions are:
- A = -3 m
- B = 0 m
- C = +5 m

This is a common setup for such problems. If your diagram differs, please clarify, but I'll proceed with this assumption.

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1. What's the correct description of change of position farther to the right of zero?

a) positive displacement
b) negative displacement
c) positive distance
d) positive change of displacement

✔ Answer: a) positive displacement

Explanation:
- Moving to the right of zero means increasing position → positive displacement.
- Displacement is a vector (has direction), so "positive displacement" correctly describes movement to the right.
- "Distance" is scalar (no direction), so it’s always positive, but doesn't describe direction.
- "Change of displacement" is redundant — we just say displacement.

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2. Which quantity is not a vector?

a) v = +2 m/s
b) d = +4 m
c) Δx = -7 m
d) |v| = 2 m/s

✔ Answer: d) |v| = 2 m/s

Explanation:
- Vectors have magnitude and direction.
- a) v = +2 m/s → velocity (vector, direction implied by sign)
- b) d = +4 m → displacement (vector)
- c) Δx = -7 m → change in position (vector)
- d) |v| = 2 m/s → magnitude of velocity, i.e., speed → scalar, no direction

So, |v| is not a vector.

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3. What is the maximum negative displacement a dog could have if it started at position x = +1 m?

a) +7 m
b) -7 m
c) -6 m
d) -7 m

Wait — options b and d are both -7 m. Likely a typo.

✔ Answer: d) -7 m (assuming it's meant to be the most negative)

Explanation:
- Starting at x = +1 m
- Maximum negative displacement means moving as far left as possible.
- If the dog moves to x = -6 m, displacement = -6 - (+1) = -7 m
- So, maximum negative displacement = -7 m
- This would mean ending at x = -6 m.

So, yes, -7 m is the answer.

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4. What is the object’s displacement as it moves from point B to C?

Assume:
- B = 0 m
- C = +5 m

Displacement = final position - initial position
= 5 m - 0 m = +5 m

✔ Answer: +5 m

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5. What distance does the object travel as it moves from point D to B?

Wait — point D isn’t defined in the assumed setup. Let’s assume there’s a point D.

If D is at, say, +8 m, and B is at 0 m, then:

Distance = |final - initial| = |0 - 8| = 8 m

But since D isn't defined, let’s suppose D = +8 m (common in such diagrams).

Then:
- From D to B: 8 m → 0 m
- Distance = |0 - 8| = 8 m

But without knowing D, this is uncertain.

Alternatively, maybe D is at -3 m? But that would be same as A.

Wait — perhaps the diagram shows:

- A = -3 m
- B = 0 m
- C = +5 m
- D = +8 m?

But since D is not mentioned earlier, let's suppose D is at +8 m.

Then:
- From D to B: 8 → 0 → distance = 8 m

But again, without confirmation, let’s assume D = +8 m

✔ Answer: 8 m (if D = +8 m)

But wait — perhaps D is at -2 m? Without the diagram, it's hard.

Let me recheck the problem.

Actually, looking at the instruction: “Refer to the figure below” — but we don’t have it.

So, let's assume the standard setup:

- A = -3 m
- B = 0 m
- C = +5 m

And maybe D is at +8 m? Or perhaps D is not used?

Wait — question 5 says “from point D to B”. But D isn't in earlier questions.

Possibility: Maybe D = +8 m, or maybe it's a typo and should be A to B?

But let’s suppose the diagram has:

- A = -3 m
- B = 0 m
- C = +5 m
- D = +8 m

Then:

Q5: Distance from D to B
- D = +8 m, B = 0 m
- Distance = |0 - 8| = 8 m

✔ Answer: 8 m

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6. What’s the object’s displacement as it moves from point A to C and then back to C?

Wait — from A to C and back to C? That’s odd.

From A to C:
- A = -3 m, C = +5 m
- Displacement = 5 - (-3) = +8 m

Then from C back to C:
- Displacement = 0

Total displacement = +8 m + 0 = +8 m

But the path is: A → C → C

So net displacement = C - A = +5 - (-3) = +8 m

✔ Answer: +8 m

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7. What distance does the object travel as it moves from point A to C and then back to C?

- A to C: |5 - (-3)| = 8 m
- C to C: 0 m
- Total distance = 8 + 0 = 8 m

✔ Answer: 8 m

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8. What is the object’s displacement as it moves from point C to A to B to D?

We need D. Assume D = +8 m

Path: C → A → B → D

- C = +5 m
- A = -3 m
- B = 0 m
- D = +8 m

Displacement = Final position - Initial position
= D - C = 8 - 5 = +3 m

Even though it took a long path, displacement only depends on start and end.

✔ Answer: +3 m

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9. What distance does the object travel as it moves from point C to A to B to D?

Now calculate total path length:

- C to A: | -3 - 5 | = 8 m
- A to B: |0 - (-3)| = 3 m
- B to D: |8 - 0| = 8 m

Total distance = 8 + 3 + 8 = 19 m

✔ Answer: 19 m

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✔ Final Answers:

1. a) positive displacement
2. d) |v| = 2 m/s
3. d) -7 m
4. +5 m
5. 8 m (assuming D = +8 m)
6. +8 m
7. 8 m
8. +3 m
9. 19 m

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⚠️ Important Note: These answers depend on the positions of points A, B, C, D. If your diagram shows different values (e.g., C at +4 m, D at +6 m, etc.), the numbers will change.

Please provide the actual diagram or list the positions of A, B, C, D if they differ, and I’ll adjust the answers accordingly.