5. The object would pass over the near side of Building B А. * 0.40 m above the roof of Building B. B. -1.2 m above the roof of Building B. C. "0.80 m above the roof of Building B. D. - 1.0 m above the roof of Building B. E. The object does not pass over the near side of Building B; it falls into the alley. 6. At the instant just before the object lands on the roof of Building B, the object's speed would be A. 9.18 m/s. B. The object does not land on the roof of building B. C. 7.11 m/s. D. 7.86 m/s. E. 2.44 m/s. 7. True or False: The object lands on the roof of Building B at a horizontal distance of 1.2 m beyond the near side of Building B?

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Questions #5-7

### Problem Scenario:

An FBI Tactical Operations Team agent uses a high-tech slingshot to launch an object from the roof of Building A. The aim is for the object to land on the roof of Building B. Two buildings are separated by a 5.00 m wide alley. At launch, the object has:

- **Initial velocity:** 6.72 m/s at an angle of 30° above the horizontal.
- **Launch height:** 0.400 m above the roof of Building A, which is 0.500 m from the edge of Building A.
- **Height of Building B’s roof:** 2.00 m above the roof of Building A.

Assumptions:
- Air resistance is negligible.
- Gravitational acceleration, \( g = 9.80 \, \text{m/s}^2 \).

### Diagram Explanation:

- **Building A and B:** Illustrated with a dashed line representing the roof levels.
- **Alley Width:** Marked as 5.00 m.
- **Launch Trajectory:** Shown with an arrow indicating the initial launch angle of 30°.

### Questions:

1. **Time to reach the highest point in its trajectory:**
   - A. 0.594 s 
   - B. 0.686 s 
   - C. 0.859 s 
   - D. 0.343 s 
   - E. 0.561 s

2. **At the highest point of its trajectory:**
   - A. Velocity is zero.
   - B. Speed is equal to zero.
   - C. Acceleration is equal to zero.
   - D. The y-component of its velocity is zero.
   - E. The y-component of its acceleration is zero.

3. **Time to travel a horizontal distance of 5.50 m:**
   - A. 0.561 s
   - B. 0.945 s
   - C. 1.64 s
   - D. 0.818 s
   - E. 1.06 s

4. **Scalar y-component of velocity at 5.50 m horizontal distance:**
   - A. -3.44 m/s
   - B. -2.14 m/s
   - C. -5.90 m/s
   - D. -4.66 m/s
   - E. -2.
Transcribed Image Text:### Problem Scenario: An FBI Tactical Operations Team agent uses a high-tech slingshot to launch an object from the roof of Building A. The aim is for the object to land on the roof of Building B. Two buildings are separated by a 5.00 m wide alley. At launch, the object has: - **Initial velocity:** 6.72 m/s at an angle of 30° above the horizontal. - **Launch height:** 0.400 m above the roof of Building A, which is 0.500 m from the edge of Building A. - **Height of Building B’s roof:** 2.00 m above the roof of Building A. Assumptions: - Air resistance is negligible. - Gravitational acceleration, \( g = 9.80 \, \text{m/s}^2 \). ### Diagram Explanation: - **Building A and B:** Illustrated with a dashed line representing the roof levels. - **Alley Width:** Marked as 5.00 m. - **Launch Trajectory:** Shown with an arrow indicating the initial launch angle of 30°. ### Questions: 1. **Time to reach the highest point in its trajectory:** - A. 0.594 s - B. 0.686 s - C. 0.859 s - D. 0.343 s - E. 0.561 s 2. **At the highest point of its trajectory:** - A. Velocity is zero. - B. Speed is equal to zero. - C. Acceleration is equal to zero. - D. The y-component of its velocity is zero. - E. The y-component of its acceleration is zero. 3. **Time to travel a horizontal distance of 5.50 m:** - A. 0.561 s - B. 0.945 s - C. 1.64 s - D. 0.818 s - E. 1.06 s 4. **Scalar y-component of velocity at 5.50 m horizontal distance:** - A. -3.44 m/s - B. -2.14 m/s - C. -5.90 m/s - D. -4.66 m/s - E. -2.
**Transcription for Educational Website**

---

**Physics Problem Set: Projectiles and Building Dynamics**

**Question 5:**
The object would pass over the near side of Building B.

Choices:
- A. ~0.40 m above the roof of Building B.
- B. ~1.2 m above the roof of Building B.
- C. ~0.80 m above the roof of Building B.
- D. ~1.0 m above the roof of Building B.
- E. The object does not pass over the near side of Building B; it falls into the alley.

**Question 6:**
At the instant just before the object lands on the roof of Building B, the object's speed would be:

Choices:
- A. 9.18 m/s
- B. The object does not land on the roof of building B.
- C. 7.11 m/s
- D. 7.86 m/s
- E. 2.44 m/s

**Question 7:**
True or False: The object lands on the roof of Building B at a horizontal distance of ~1.2 m beyond the near side of Building B?

Choices:
- A. True
- B. False

---

**Note:** This set of questions explores the dynamics of a projectile in relation to Building B, discussing vertical clearances, speed upon impact, and horizontal landing distances.
Transcribed Image Text:**Transcription for Educational Website** --- **Physics Problem Set: Projectiles and Building Dynamics** **Question 5:** The object would pass over the near side of Building B. Choices: - A. ~0.40 m above the roof of Building B. - B. ~1.2 m above the roof of Building B. - C. ~0.80 m above the roof of Building B. - D. ~1.0 m above the roof of Building B. - E. The object does not pass over the near side of Building B; it falls into the alley. **Question 6:** At the instant just before the object lands on the roof of Building B, the object's speed would be: Choices: - A. 9.18 m/s - B. The object does not land on the roof of building B. - C. 7.11 m/s - D. 7.86 m/s - E. 2.44 m/s **Question 7:** True or False: The object lands on the roof of Building B at a horizontal distance of ~1.2 m beyond the near side of Building B? Choices: - A. True - B. False --- **Note:** This set of questions explores the dynamics of a projectile in relation to Building B, discussing vertical clearances, speed upon impact, and horizontal landing distances.
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