### Chapter 12, Problem 12.25**Fundamental Problem 12.25**A ball is thrown from point A. ![Figure 1](#)#### Figure ExplanationThe figure illustrates a scenario where a ball is thrown from point A. In this scenario:- A person is standing on a platform that is 3 feet above the ground.- The ball is thrown from point A, with an initial velocity \( v \) at an angle of 30° with the horizontal.- The vertical axis is labeled as \( y \) and the horizontal axis is labeled as \( x \).The projectile follows a parabolic trajectory, reaching point B which is 8 feet above the ground.Key details in the figure:- The initial height from which the ball is thrown is 3 feet above the ground.- The trajectory reaches an apex before descending towards point B.- The horizontal distance from the launch point A to the point directly below B is denoted as \( R \).#### Additional Information:- Current weather condition: Sunny, 96°F.#### Problem Context:This problem involves understanding the principles of projectile motion, including the calculation of the trajectory path, determining range, and analyzing the effects of initial velocity and angle of projection. The necessary physics equations and kinematic formulas will apply to solve for \( v \) and \( R \).---This structured presentation of the problem provides clear visuals and context for students to understand the physical scenario and the nature of the problem they need to solve. ### Part AIf it is required to clear the wall at \( B \) and \( R = 13 \, \text{ft} \), determine the minimum magnitude of its initial velocity \( v_A \).Express your answer to three significant figures and include the appropriate units.\[ v_A = \]\[ \text{Value} \quad \text{Units} \]**Submit** \(_Request Answer_\)**Provide Feedback**

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Engineering

Mechanical Engineering

If it is required to clear the wall at B and R = 13 ft, determine the minimum magnitude of its initial velocity VA-

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Chapter 12, Problem 12.25

**Fundamental Problem 12.25**

A ball is thrown from point A. ![Figure 1](#)

#### Figure Explanation

The figure illustrates a scenario where a ball is thrown from point A. In this scenario:

- A person is standing on a platform that is 3 feet above the ground.
- The ball is thrown from point A, with an initial velocity \( v \) at an angle of 30° with the horizontal.
- The vertical axis is labeled as \( y \) and the horizontal axis is labeled as \( x \).

The projectile follows a parabolic trajectory, reaching point B which is 8 feet above the ground.

Key details in the figure:
- The initial height from which the ball is thrown is 3 feet above the ground.
- The trajectory reaches an apex before descending towards point B.
- The horizontal distance from the launch point A to the point directly below B is denoted as \( R \).

#### Additional Information:

- Current weather condition: Sunny, 96°F.

#### Problem Context:

This problem involves understanding the principles of projectile motion, including the calculation of the trajectory path, determining range, and analyzing the effects of initial velocity and angle of projection. The necessary physics equations and kinematic formulas will apply to solve for \( v \) and \( R \).

---

This structured presentation of the problem provides clear visuals and context for students to understand the physical scenario and the nature of the problem they need to solve.

### Part A

If it is required to clear the wall at \( B \) and \( R = 13 \, \text{ft} \), determine the minimum magnitude of its initial velocity \( v_A \).

Express your answer to three significant figures and include the appropriate units.

\[ v_A = \]
\[ \text{Value} \quad \text{Units} \]

**Submit** \(_Request Answer_\)

**Provide Feedback**

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