Show Attempt History Current Attempt in Progress Incorrect At time t = 0, a particle is at rest in the x-y plane at the coordinates (xo, Yo) = (6, 0) in. If the particle is then subjected to the acceleration components ax = 0.71 -0.41t in. /sec² and ay = 0.10t -0.01t² in. /sec², determine the coordinates of the particle position when t = 6 sec. You might consider plotting the path of the particle during this time period. Answer: (x, y) = (i -2.34 i 0.7211 )in. eTextbook and Media

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Particle Motion Investigation:**

**Problem Statement:**

At time \( t = 0 \), a particle is at rest in the x-y plane at the coordinates \( (x_0, y_0) = (6, 0) \) inches. If the particle is then subjected to the acceleration components given by \( a_x = 0.71 - 0.41t \) \(\text{in.} / \text{sec}^2\) and \( a_y = 0.10t - 0.01t^2 \) \(\text{in.} / \text{sec}^2\), determine the coordinates of the particle's position when \( t = 6 \) seconds. You are encouraged to plot the path of the particle during this duration. 

**Submitted Answer:**

\( (x, y) = \left( -2.34, \, 0.7211 \right) \, \text{in.} \) 

**Response Status:** 

The response provided is **Incorrect**.

**Additional Resources:**

- **eTextbook and Media**: Useful for reference and further reading on particle motion and kinematic equations.
  
**Options:**

- **Save for Later**: You can choose to save your progress and revisit the problem at a later time.
- **Submit Answer**: You can submit an answer through this option. Note that after five attempts, continuing to submit answers will incur a 10% score reduction.

**Attempts Allowed:** Unlimited

When working on similar problems, consider integrating the acceleration components to find the velocity and position as functions of time. Using these integrated functions, you can evaluate the coordinates of the particle at any specific time, such as \( t = 6 \) seconds. This approach can be practiced using different sets of acceleration functions for better understanding and mastery.
Transcribed Image Text:**Particle Motion Investigation:** **Problem Statement:** At time \( t = 0 \), a particle is at rest in the x-y plane at the coordinates \( (x_0, y_0) = (6, 0) \) inches. If the particle is then subjected to the acceleration components given by \( a_x = 0.71 - 0.41t \) \(\text{in.} / \text{sec}^2\) and \( a_y = 0.10t - 0.01t^2 \) \(\text{in.} / \text{sec}^2\), determine the coordinates of the particle's position when \( t = 6 \) seconds. You are encouraged to plot the path of the particle during this duration. **Submitted Answer:** \( (x, y) = \left( -2.34, \, 0.7211 \right) \, \text{in.} \) **Response Status:** The response provided is **Incorrect**. **Additional Resources:** - **eTextbook and Media**: Useful for reference and further reading on particle motion and kinematic equations. **Options:** - **Save for Later**: You can choose to save your progress and revisit the problem at a later time. - **Submit Answer**: You can submit an answer through this option. Note that after five attempts, continuing to submit answers will incur a 10% score reduction. **Attempts Allowed:** Unlimited When working on similar problems, consider integrating the acceleration components to find the velocity and position as functions of time. Using these integrated functions, you can evaluate the coordinates of the particle at any specific time, such as \( t = 6 \) seconds. This approach can be practiced using different sets of acceleration functions for better understanding and mastery.
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