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
icon
Related questions
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.
Transcribed Image Text:**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

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY