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north Consider an xy-coordinate plane where • the x-axis is horizontal, and runs from west to east as x increases; and • the y-axis is vertical, and runs from south to north as y increases; • each unit of length on this coordinate plane corresponds to 1m: for example, to go from the origin (0,0) to the point (2,-3), one has to move east 2m and then move south 3m. west east south Let an object P move along the graph v= 2x² – x-3 on that coordinate plane, and let two objects A and B move along the x-axis and the y-axis, respectively. Suppose that during the entire movement the line segment PA is always perpendicular to the x-axis, and the line segment PB is always perpendicular to the y-axis. Question: Suppose that when the object A is 1m west of the origin, it moves west at the rate of 2m/s. Find the instantaneous velocity of object B at that time.

north Consider an xy-coordinate plane where • the x-axis is horizontal, and runs from west to east as x increases; and • the y-axis is vertical, and runs from south to north as y increases; • each unit of length on this coordinate plane corresponds to 1m: for example, to go from the origin (0,0) to the point (2,-3), one has to move east 2m and then move south 3m. west east south Let an object P move along the graph v= 2x² – x-3 on that coordinate plane, and let two objects A and B move along the x-axis and the y-axis, respectively. Suppose that during the entire movement the line segment PA is always perpendicular to the x-axis, and the line segment PB is always perpendicular to the y-axis. Question: Suppose that when the object A is 1m west of the origin, it moves west at the rate of 2m/s. Find the instantaneous velocity of object B at that time.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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north ty Consider an xy-coordinate plane where • the x-axis is horizontal, and runs from west to east as x increases; and • the y-axis is vertical, and runs from south to north as y increases; • each unit of length on this coordinate plane corresponds to 1m: for example, to go from the origin (0,0) to the point (2,-3), one has to move east 2m and then move south 3m. west east south Let an object P move along the graph v=2x2 - x-3 on that coordinate plane, and let two objects A and B move along the x-axis and the y-axis, respectively. Suppose that during the entire movement the line segment PA is always perpendicular to the x-axis, and the line segment PB is always perpendicular to the y-axis. Question: Suppose that when the object A is 1m west of the origin, it moves west at the rate of 2m/s. Find the instantaneous velocity of object B at that time.
Transcribed Image Text:north ty Consider an xy-coordinate plane where • the x-axis is horizontal, and runs from west to east as x increases; and • the y-axis is vertical, and runs from south to north as y increases; • each unit of length on this coordinate plane corresponds to 1m: for example, to go from the origin (0,0) to the point (2,-3), one has to move east 2m and then move south 3m. west east south Let an object P move along the graph v=2x2 - x-3 on that coordinate plane, and let two objects A and B move along the x-axis and the y-axis, respectively. Suppose that during the entire movement the line segment PA is always perpendicular to the x-axis, and the line segment PB is always perpendicular to the y-axis. Question: Suppose that when the object A is 1m west of the origin, it moves west at the rate of 2m/s. Find the instantaneous velocity of object B at that time.
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