The position of a particular particle as a function of Submit Previous Answers time is given by ř = ( 9.60t - i + 8.85j - 1.00t² - Îk) m, where t is in seconds. Answer Requested Part B What is the magnitude of the instantaneous velocity at 5.00 s ? Vinst = 41.92 m/s Submit Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 \( t = 5.00 \, \text{s} \).
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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