### Circular Motion Problem for Educational Purposes**Problem Statement:**A car travels around a portion of a circular track with a radius of \( r = 400 \text{ ft} \) such that when it is at point \( A \), it has a velocity of \( 5 \text{ ft/s} \), which is increasing at the rate of \( \dot{v} = (0.002t) \text{ ft/s}^2 \), where \( t \) is in seconds.**Diagram Explanation:**The diagram on the right shows a circular track with car traveling on it. The point \( A \), where the car’s velocity and acceleration are given, is marked on the track.#### Part A**Task:**Determine the magnitude of the velocity when it has traveled three-fourths the way around the track.**Instructions:**Express your answer to three significant figures and include the appropriate units.\[ v = \_\_\_\_\_\_\_\_ \]#### Part B**Task:**Determine the magnitude of the acceleration when it has traveled three-fourths the way around the track.**Instructions:**Express your answer to three significant figures and include the appropriate units.\[ a = \_\_\_\_\_\_\_\_ \]

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The car travels around the portion of a ciroular track having a radius of 400 ft such that when it is at point Ait has a velocity of 5 ft/s, which is increasing at the rate of i= (0.002t) ft/s, where tis in seconds. Part A Determine the magnitude of the velocity when it has traveled three-fourths the way around the track. Express your answer to three significant figures and include the appropriate units. Part B Determine the magnitude of the acceleration when it has traveled three-fourths the way around the track Express your answer to three significant figures and include the appropriate units.

The car travels around the portion of a ciroular track having a radius of 400 ft such that when it is at point Ait has a velocity of 5 ft/s, which is increasing at the rate of i= (0.002t) ft/s, where tis in seconds. Part A Determine the magnitude of the velocity when it has traveled three-fourths the way around the track. Express your answer to three significant figures and include the appropriate units. Part B Determine the magnitude of the acceleration when it has traveled three-fourths the way around the track Express your answer to three significant figures and include the appropriate 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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Question

### Circular Motion Problem for Educational Purposes

**Problem Statement:**

A car travels around a portion of a circular track with a radius of \( r = 400 \text{ ft} \) such that when it is at point \( A \), it has a velocity of \( 5 \text{ ft/s} \), which is increasing at the rate of \( \dot{v} = (0.002t) \text{ ft/s}^2 \), where \( t \) is in seconds.

**Diagram Explanation:**
The diagram on the right shows a circular track with car traveling on it. The point \( A \), where the car’s velocity and acceleration are given, is marked on the track.

#### Part A
**Task:**
Determine the magnitude of the velocity when it has traveled three-fourths the way around the track.

**Instructions:**
Express your answer to three significant figures and include the appropriate units.

\[ v = \_\_\_\_\_\_\_\_ \]

#### Part B
**Task:**
Determine the magnitude of the acceleration when it has traveled three-fourths the way around the track.

**Instructions:**
Express your answer to three significant figures and include the appropriate units.

\[ a = \_\_\_\_\_\_\_\_ \]

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