
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![The image contains a physics problem related to the motion of a particle. Here's a transcription and explanation suitable for an educational website:
---
**Problem Statement:**
The position of a particular particle as a function of time is given by:
\[
\vec{r} = (9.60t \cdot \hat{i} + 8.85 \cdot \hat{j} - 1.00t^2 \cdot \hat{k}) \, \text{m}
\]
where \( t \) is in seconds.
**Question (Part B):**
What is the magnitude of the instantaneous velocity at \( t = 5.00 \, \text{s} \)?
**Solution Attempt:**
\[
v_{\text{inst}} = 41.92 \, \text{m/s}
\]
**Result:**
- The submitted answer of 41.92 m/s is marked as incorrect.
- You have one attempt remaining to find the correct answer.
---
The task involves calculating the instantaneous velocity from the given position function by differentiating with respect to time and evaluating the expression at \( t = 5.00 \, \text{s} \).](https://content.bartleby.com/qna-images/question/13159523-5d31-4635-be6a-717023ea663c/b4a2edcf-4c3a-4d81-8b62-4035fae465d2/uoodiq_thumbnail.png)
Transcribed Image Text:The image contains a physics problem related to the motion of a particle. Here's a transcription and explanation suitable for an educational website:
---
**Problem Statement:**
The position of a particular particle as a function of time is given by:
\[
\vec{r} = (9.60t \cdot \hat{i} + 8.85 \cdot \hat{j} - 1.00t^2 \cdot \hat{k}) \, \text{m}
\]
where \( t \) is in seconds.
**Question (Part B):**
What is the magnitude of the instantaneous velocity at \( t = 5.00 \, \text{s} \)?
**Solution Attempt:**
\[
v_{\text{inst}} = 41.92 \, \text{m/s}
\]
**Result:**
- The submitted answer of 41.92 m/s is marked as incorrect.
- You have one attempt remaining to find the correct answer.
---
The task involves calculating the instantaneous velocity from the given position function by differentiating with respect to time and evaluating the expression at \( t = 5.00 \, \text{s} \).
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