10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 9 P.M. while traveling north at 22 kilometers per hour. If the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 9 P.M. Then find the distance D between the oil tanker and the luxury liner at that time.
10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 9 P.M. while traveling north at 22 kilometers per hour. If the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 9 P.M. Then find the distance D between the oil tanker and the luxury liner at that time.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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At 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 9 P.M. while traveling north at 22 kilometers per hour. If the "spot" is represented by the origin, find the location of the oil tanker and the location of the luxury liner t hours after 9 P.M. Then find the distance D between the oil tanker and the luxury liner at that time.
D(t) =
At what time were the ships closest together? (Hint: Minimize the distance (or the square of the distance!) between them.)
The time is : P.M. (Round down to the nearest minute.)
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