---### Problem Statement:The acceleration of a rocket traveling upward is given by \( a = (8 + 0.02s) \, \text{m/s}^2 \), where \( s \) is in meters. Initially, \( v = 0 \) and \( s = 0 \) when \( t = 0 \).---#### Part A:**Question:**Determine the time needed for the rocket to reach an altitude of \( s = 170 \, \text{m} \).**Instructions:**- Express your answer to three significant figures and include the appropriate units.---### Diagram Explanation:The diagram provided illustrates a rocket in the process of ascending vertically with visible exhaust flames indicating propulsion. The vertical distance \( s \) from the ground to the rocket is marked to represent the altitude.---### Solution Steps:1. **Understanding the Equation:** - The given acceleration \( a \) is a function of distance \( s \). - Acceleration: \( a = 8 + 0.02s \, \text{m/s}^2 \). - Initial conditions: \( v = 0 \, \text{m/s} \) and \( s = 0 \, \text{m} \) at \( t = 0 \).2. **Finding Time \( t \):** - Integrate the equation of acceleration to find velocity and displacement.3. **Express Answer:** - Present the final time required in proper units.---This instructional content focuses on applying principles of kinematics to determine the time required for a rocket to reach a specific altitude. It encourages students to integrate and apply initial conditions to solve the problem accurately.---

Answered: The acceleration of a rocket traveling…

The acceleration of a rocket traveling upward is given by a = (8 + 0.028) Im/s², where s is in meters. Initially, v = 0 and s = 0 when t= 0.

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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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

---

### Problem Statement:

The acceleration of a rocket traveling upward is given by \( a = (8 + 0.02s) \, \text{m/s}^2 \), where \( s \) is in meters. Initially, \( v = 0 \) and \( s = 0 \) when \( t = 0 \).

---

#### Part A:

**Question:**

Determine the time needed for the rocket to reach an altitude of \( s = 170 \, \text{m} \).

**Instructions:**

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

---

### Diagram Explanation:

The diagram provided illustrates a rocket in the process of ascending vertically with visible exhaust flames indicating propulsion. The vertical distance \( s \) from the ground to the rocket is marked to represent the altitude.

---

### Solution Steps:

1. **Understanding the Equation:**

- The given acceleration \( a \) is a function of distance \( s \).

- Acceleration: \( a = 8 + 0.02s \, \text{m/s}^2 \).

- Initial conditions: \( v = 0 \, \text{m/s} \) and \( s = 0 \, \text{m} \) at \( t = 0 \).

2. **Finding Time \( t \):**

- Integrate the equation of acceleration to find velocity and displacement.

3. **Express Answer:**

- Present the final time required in proper units.

---

This instructional content focuses on applying principles of kinematics to determine the time required for a rocket to reach a specific altitude. It encourages students to integrate and apply initial conditions to solve the problem accurately.

---

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