Q15. The acceleration of a particle traveling along a straight line is a = (-C.v³) m/s² where Cis a constant and vis the velocity in m/s. If the constant Cis 1.6, the initial velocity vo is 8 m/s, and the initial position so = 8 m at time t = 0, determine the particle's positions when its velocity v = 0.7 m/s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Your Answer: Answer units

Q15. The acceleration of a particle traveling along a straight line is a = (-C.v³) m/s² where Cis a constant and vis the velocity in m/s. If the constant Cis 1.6, the initial velocity vo is 8 m/s, and the initial position so = 8 m at time t = 0, determine the particle's positions when its velocity v = 0.7 m/s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Your Answer: Answer units

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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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:**

Q15. The acceleration of a particle traveling along a straight line is given by:

\[ a = (-C \cdot v^3) \, \text{m/s}^2 \]

where $ C $ is a constant and $ v $ is the velocity in meters per second (m/s).

Given:
- Constant $ C = 1.6 $
- Initial velocity $ v_0 = 8 \, \text{m/s} $
- Initial position $ s_0 = 8 \, \text{m} $

At time $ t = 0 $, determine the particle's position $ s $ when its velocity $ v = 0.7 \, \text{m/s} $.

**Note:**
The numerical values may change since they are randomized. Your answer must include 2 decimal places and use the proper SI unit.

**Answer Submission:**

- **Your Answer:** [Input Box]
- **Units:** [Input Box]

Ensure the precision and units are correct.

Expert Solution

Step 1

Given data:- a=-C.v³

C=1.6, v₀=8 m/s, v₁=0.7m/s and s₀=8m

To find :-final particle's position (s₁)when v₁=0.7m/s

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