In a lake, two boats A and B are leaving Station1 at the same time, Boat A is directed straight to Station 2 at a constant velocity of 7m/s, while Boat B is travelling in the North- West direction (N45°W). It takes Bost A one and half minute (90 seconds) to reach Station 2. Station 2 is located to the west 315m south of Station 1. a. What is the velocity of Boat B if it appears to a person inside it that Boat A is moving at rate of 8m/s? b. At the instant when Boat A reaches Station 2, what is the relative position (magnitude and direction) of Boat B with respect to A?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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6.E

In a lake, two boats A and B are leaving Station1 at the same time, Boat A is directed
straight to Station 2 at a constant velocity of 7m/s, while Boat B is travelling in the North-
West direction (N45°W). It takes Bost A one and half minute (90 seconds) to reach
Station 2. Station 2 is located to the west 315m south of Station 1.
a. What is the velocity of Boat B if it appears to a person inside it that Boat A is moving
at rate of 8m/s?
b. At the instant when Boat A reaches Station 2, what is the relative position
(magnitude and direction) of Boat B with respect to A?
Transcribed Image Text:In a lake, two boats A and B are leaving Station1 at the same time, Boat A is directed straight to Station 2 at a constant velocity of 7m/s, while Boat B is travelling in the North- West direction (N45°W). It takes Bost A one and half minute (90 seconds) to reach Station 2. Station 2 is located to the west 315m south of Station 1. a. What is the velocity of Boat B if it appears to a person inside it that Boat A is moving at rate of 8m/s? b. At the instant when Boat A reaches Station 2, what is the relative position (magnitude and direction) of Boat B with respect to A?
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