Distance And Displacement Worksheet 2020-2024 - Fill and Sign ... - Free Printable

Since I can't view or access uploaded images directly, I can’t see the specific figure or diagram referenced in your worksheet. However, I can help you solve the problems if you provide a description of the figure (e.g., positions of points A, B, C, D on a number line, or any labeled coordinates).

But based on typical "Position, Distance, and Displacement" worksheets like this one, I’ll assume a common setup:

Let’s suppose the number line has points labeled as follows:

```
-10 -8 -6 -4 -2 0 2 4 6 8 10
A B C D E F G H I J
```

Or more commonly:
Points are marked at:
- A = -5
- B = 0
- C = 5
- D = 10

But since your worksheet says “Refer to the figure below,” and it's not visible, I will solve the questions assuming a standard number line with labeled points, and then explain how to approach each problem.

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Let's assume the following positions from the figure:

- Point A = -3
- Point B = 0
- Point C = 4
- Point D = 7

(You can adjust these if your actual figure is different.)

Now let’s go through each question.

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

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

✔ Answer: a) positive displacement

Explanation: Moving to the right on a number line means increasing position. This is a positive displacement because displacement is the change in position (final – initial), and if final > initial, it's positive.

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2. A dog walks from +1 m to +5 m. Which of the following represents its total distance moved?

a) +4 m
b) -4 m
c) +4 m
d) +4 m

Wait — options seem repeated. Likely typo.

Assuming options are:
a) +4 m
b) -4 m
c) 4 m
d) -4 m

✔ Answer: c) 4 m

Explanation:
Distance is scalar (only magnitude). The dog moves from +1 to +5 → distance = |5 - 1| = 4 m.
Displacement would be +4 m (vector), but distance is just 4 m.

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3. What is the maximum negative displacement a dog could have if it started its motion at +3 m?

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

Wait — again, duplicates.

Assuming options are:
a) +7 m
b) -7 m
c) +7 m
d) -7 m

But likely meant to be:
a) +7 m
b) -7 m
c) +7 m
d) -7 m

We need to know the range of motion. If the dog starts at +3 m, the maximum negative displacement occurs when it moves as far left as possible.

Suppose the farthest left point is -4 m.

Then displacement = final – initial = (-4) – (+3) = -7 m

So maximum negative displacement is -7 m

✔ Answer: b) -7 m

Explanation: Maximum negative displacement means the largest possible value in the negative direction. So if it goes from +3 to -4, displacement is -7 m.

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

Assume:
- A = -3
- C = 4

Displacement = final – initial = 4 – (-3) = 4 + 3 = +7 m

✔ Answer: +7 m

Explanation: Displacement = Δx = x_final – x_initial

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

Assume:
- D = 7
- B = 0

Distance = |B – D| = |0 – 7| = 7 m

✔ Answer: 7 m

Explanation: Distance is always positive, regardless of direction.

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

Wait — from A to C and then back to C?

That seems redundant.

More likely: from A to C and then back to B? Or maybe A to C and then back to A?

But as written: A → C → C

So:
- A to C: displacement = +7 m
- C to C: displacement = 0 m

Total displacement = 7 + 0 = +7 m

But that seems odd.

Alternatively, perhaps it's a typo and should be: A to C and then back to A

Then:
- A to C: +7 m
- C to A: -7 m
- Total displacement = 0 m

But let’s assume it’s A to C and then to B

Let’s say:
- A = -3
- C = 4
- B = 0

Then:
- A → C: displacement = 4 - (-3) = +7 m
- C → B: displacement = 0 - 4 = -4 m
- Total displacement = +7 + (-4) = +3 m

But without knowing the path, hard to say.

Wait — question says: from A to C and then back to C — so ends at C.

So displacement = C - A = 4 - (-3) = +7 m

✔ Answer: +7 m

Because displacement only depends on start and end points.

Start = A = -3
End = C = 4
So displacement = 4 - (-3) = +7 m

Even though it went to C and stayed, displacement is still +7 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?

Again, A → C → C

- A to C: distance = |4 - (-3)| = 7 m
- C to C: distance = 0 m
- Total distance = 7 + 0 = 7 m

✔ Answer: 7 m

Explanation: Distance is total path length. Since it didn’t move from C, no extra distance.

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

Assume:
- C = 4
- A = -3
- D = 7
- B = 0

Path: C → A → D → B

But displacement depends only on start and end.

Start = C = 4
End = B = 0
Displacement = 0 - 4 = -4 m

✔ Answer: -4 m

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

Now calculate total path length:

- C to A: | -3 - 4 | = 7 m
- A to D: |7 - (-3)| = 10 m
- D to B: |0 - 7| = 7 m

Total distance = 7 + 10 + 7 = 24 m

✔ Answer: 24 m

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Summary of Answers (based on assumed positions):

| Question | Answer |
|--------|--------|
| 1 | a) positive displacement |
| 2 | c) 4 m |
| 3 | b) -7 m |
| 4 | +7 m |
| 5 | 7 m |
| 6 | +7 m |
| 7 | 7 m |
| 8 | -4 m |
| 9 | 24 m |

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⚠️ Important Note: These answers depend heavily on the actual positions of points A, B, C, D in your figure.

👉 Please describe the figure (e.g., “Point A is at -2, B at 0, C at 3, D at 6”) or upload it again, and I’ll give you the exact correct answers.

But this should give you a solid understanding of how to solve such problems!

Let me know if you'd like to adjust the positions!