At 3 P.M. an oil tanker traveling west in the ocean at 19 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 2 P.M. while traveling north at 37 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 2 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.)

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Asked Oct 21, 2019
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At 3 P.M. an oil tanker traveling west in the ocean at 19 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 2 P.M. while traveling north at 37 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 2 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.)

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At 3 P.M. an oil tanker traveling west in the ocean at 19 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 2 P.M. while traveling north at 37 kilometers per hour. If the "spot" is represented by the origin,...

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