### Relative Motion Analysis (Cars)#### Problem Statement:At the instant shown, cars A and B are traveling at speeds of 55 mi/h and 40 mi/h, respectively. Car B is increasing its speed by 1200 mi/h², while car A maintains a constant speed. Car B moves along a curve having a radius of curvature of 0.5 mi.#### Diagram:The given diagram shows two cars, A and B. Car A is traveling at 55 mi/h along a straight path, while car B is traveling at 40 mi/h along a curved path with a radius of curvature of 0.5 mi. The angle between the direction of car B's motion and the x-axis is 30°.### Part A:Determine the magnitude of the velocity of \( B \) with respect to \( A \).- Express your answer to three significant figures and include the appropriate units.\[ v_{B/A} = \boxed{ \hspace{4cm} } \, \text{mi/h} \]### Part B:Determine the angle \( \theta_{B/A} \) of \( \mathbf{v}_{B/A} \) (counterclockwise from the positive x-axis).- Express your answer to three significant figures and include the appropriate units.\[ \theta_{B/A} = \boxed{ \hspace{4cm} } \, ^\circ \]### Part C:Determine the magnitude of the acceleration of \( B \) with respect to \( A \).- Express your answer to three significant figures and include the appropriate units.\[ a_{B/A} = \boxed{ \hspace{4cm} } \, \text{mi/h}^2 \]### Part D:Determine the angle \( \phi_{B/A} \) of \( \mathbf{a}_{B/A} \) (counterclockwise from the positive x-axis).- Express your answer to three significant figures and include the appropriate units.\[ \phi_{B/A} = \boxed{ \hspace{4cm} } \, ^\circ \]### Explanation of the Diagram:- Car A is shown traveling on a linear path at 55 mi/h.- Car B is traveling on a curved path at 40 mi/h, with an increase in speed of 1200 mi/h².- The curve along which car B is traveling has a radius of curvature

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At the instant shown, cars A and Bare traveling at speeds of 55 mi / hand 40 mi / h. respectively. Bis increasing its speed by 1200 mi/h, while A maintains a constant speed. Car B moves along a curve having a radius of curvature of 0.5 mi. Vg = 40 mi/h vA = 55 mi/h Part A Determine the magnitude of the velocity of B with respect to A. Express your answer to three significant figures and include the appropriate units. Part B Determine the angle 0, of vRIA (counterclockwise from the positive z axcis). Express your answer to three significant figures and include the appropriate units. Part C Determine the magnitude of the acceleration of Bwith respect to A. Express your answer to three significant figures and include the appropriate units. Part D Determine the angle 0, of apa (counterclockwise from the positive z axis). Express your answer to three significant figures and include the appropriate units.

At the instant shown, cars A and Bare traveling at speeds of 55 mi / hand 40 mi / h. respectively. Bis increasing its speed by 1200 mi/h, while A maintains a constant speed. Car B moves along a curve having a radius of curvature of 0.5 mi. Vg = 40 mi/h vA = 55 mi/h Part A Determine the magnitude of the velocity of B with respect to A. Express your answer to three significant figures and include the appropriate units. Part B Determine the angle 0, of vRIA (counterclockwise from the positive z axcis). Express your answer to three significant figures and include the appropriate units. Part C Determine the magnitude of the acceleration of Bwith respect to A. Express your answer to three significant figures and include the appropriate units. Part D Determine the angle 0, of apa (counterclockwise from the positive z axis). 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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