**Car A rounds a curve of 172-m radius at a constant speed of 37 km/h. At the instant represented, car B is moving at 97 km/h but is slowing down at the rate of 2.5 m/s². Determine the velocity and acceleration of car A as observed from car B.****Diagram Explanation:**The diagram shows two cars, A and B, at a road intersection. Car A is rounding a curve with a radius of 172 meters at a constant speed. Car B is depicted moving in a straight line towards the intersection and decelerating.**Answer:**\[ v_{A/B} = \begin{pmatrix} -10.278 \hat{i} + 26.94 \hat{j} \end{pmatrix} \text{ m/s} \]\[ a_{A/B} = \begin{pmatrix} 0 \hat{i} + 886 \hat{j} \end{pmatrix} \text{ m/s}^2 \]

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Car A rounds a curve of 172-m radius at a constant speed of 37 km/h. At the instant represented, car B is moving at 97 km/h but is slowing down at the rate of 2.5 m/s². Determine the velocity and acceleration of car A as observed from car B.

Car A rounds a curve of 172-m radius at a constant speed of 37 km/h. At the instant represented, car B is moving at 97 km/h but is slowing down at the rate of 2.5 m/s². Determine the velocity and acceleration of car A as observed from car B.

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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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

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**Car A rounds a curve of 172-m radius at a constant speed of 37 km/h. At the instant represented, car B is moving at 97 km/h but is slowing down at the rate of 2.5 m/s². Determine the velocity and acceleration of car A as observed from car B.**

**Diagram Explanation:**

The diagram shows two cars, A and B, at a road intersection. Car A is rounding a curve with a radius of 172 meters at a constant speed. Car B is depicted moving in a straight line towards the intersection and decelerating.

**Answer:**

\[ v_{A/B} = \begin{pmatrix} -10.278 \hat{i} + 26.94 \hat{j} \end{pmatrix} \text{ m/s} \]

\[ a_{A/B} = \begin{pmatrix} 0 \hat{i} + 886 \hat{j} \end{pmatrix} \text{ m/s}^2 \]

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