### Radar Tracking of an AirplaneA radar station, located at the origin of the xy-plane, detects an airplane approaching from the east. Initially, at point A, the airplane's position vector \(\vec{R}_A\) has a magnitude of 360 meters and is positioned at an angle of 40° above the horizon. The airplane is then tracked for another 123° in the vertical east-west plane over 5.0 seconds until it passes directly overhead at point B. The position at point B is denoted by the vector \(\vec{R}_B\), which has a magnitude of 880 meters.The diagram provided illustrates the airplane's trajectory. The x-axis represents the ground while the positive y-axis points upward.### Question - Part ADefine the displacement of the airplane from point A to point B: \(\vec{R}_{BA} = \vec{R}_B - \vec{R}_A\). What are the components of \(\vec{R}_{BA}\)?Express \(\vec{R}_{BA}\) in terms of the unit vectors \(\hat{i}\) and \(\hat{j}\), in meters.A student attempted to calculate \(\vec{R}_{BA}\) and entered \(-1100 \, \text{m}\). This answer is incorrect. The student has three more attempts.### Diagram ExplanationThe diagram shows an airplane ascending from east to west, with given angles at observation points. The horizontal axis represents east-west (x-axis), and the vertical axis represents y. The angle between the position vectors is given as 123°, starting from the initial angle of 40° above the horizon.

Answered: Image /qna-images/answer/f6ba19b0-a141-4462-9ffe-e31750249c52.jpg

A radar station, located at the origin of xy plane, as shown in (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is R. The position vector RA has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is RB (the magnitude of RB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward. Part A Define the displacement of the airplane while the radar was tracking it: RBA = RB-R₁. What are the components of RBA? Express RBA in terms of the unit vectors i and j, in meters. ► View Available Hint(s) -- ΑΣΦΑ 6 a a Revie 2

A radar station, located at the origin of xy plane, as shown in (Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is R. The position vector RA has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is RB (the magnitude of RB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward. Part A Define the displacement of the airplane while the radar was tracking it: RBA = RB-R₁. What are the components of RBA? Express RBA in terms of the unit vectors i and j, in meters. ► View Available Hint(s) -- ΑΣΦΑ 6 a a Revie 2

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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