Answered: Charlie and Alexandra are running…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...

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Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at the westernmost point of the track, and, at the same time, Alexandra started at the northernmost point. They both run counterclockwise. Alexandra runs at 3 meters per second, and will take exactly 2 minutes to catch up to Charlie.

Impose a coordinate system with units in meters where the origin is at the center of the circular track, and give the x- and y-coordinates of Charlie after one minute of running. (Round your answers to three decimal places.)

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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