Grade 11 Physics worksheet on position, distance, and displacement using number lines.

Let's solve Question 5 and Question 6 step by step using the number lines provided.

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🔹 Question 5:

We are given a number line with:

- Initial position $ x_i = -3 $ meters
- Final position $ x_f = 6 $ meters

#### 14. Is the initial position positive or negative?
- The initial position is at $ x_i = -3 $
- Since it’s less than zero, it is negative.
✔ Answer: Negative

#### 15. Is the final position positive or negative?
- The final position is at $ x_f = 6 $
- Since it’s greater than zero, it is positive.
✔ Answer: Positive

#### 16. Is the displacement positive or negative?
- Displacement = Final position – Initial position
$ \Delta x = x_f - x_i = 6 - (-3) = 6 + 3 = 9 $ meters
- Since the result is positive, the displacement is positive.
✔ Answer: Positive

#### 17. What is the displacement (size with units) and direction (+ or -)?
- Size: 9 meters
- Direction: Positive (+)
✔ Answer: 9 meters, +

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🔹 Question 6:

Now we have:

- Initial position $ x_i = -4 $ meters
- Final position $ x_f = 2 $ meters

#### 18. Is the initial position positive or negative?
- $ x_i = -4 $ → Less than zero → Negative
✔ Answer: Negative

#### 19. Is the final position positive or negative?
- $ x_f = 2 $ → Greater than zero → Positive
✔ Answer: Positive

#### 20. Is the displacement positive or negative?
- Displacement = $ x_f - x_i = 2 - (-4) = 2 + 4 = 6 $ meters
- Result is positive → Displacement is positive
✔ Answer: Positive

#### 21. What is the displacement (size with units) and direction (+ or -)?
- Size: 6 meters
- Direction: Positive (+)
✔ Answer: 6 meters, +

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✔ Final Answers Summary:

#### Question 5:
14. Negative
15. Positive
16. Positive
17. 9 meters, +

#### Question 6:
18. Negative
19. Positive
20. Positive
21. 6 meters, +

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📝 Explanation:

- Position: Tells us where an object is on the number line (positive or negative).
- Displacement: Change in position = $ \Delta x = x_f - x_i $
- It includes direction (sign), so it's a vector.
- If final > initial → positive displacement
- If final < initial → negative displacement
- In both cases, the object moves from left to right (from negative to positive), so displacement is positive.

Let me know if you'd like this explained visually!