Two trains are moving towards 20 th Street Station. One train is traveling at 30mph north and is currently 2 miles south of the station. The second train is traveling at 60 mph west and is currently 8 miles east of the station. At this instant, what is the rate of change of the distance between two trains? Now analyze the same situation and answer the same questions if the first train is moving 50mph south away from the station instead of north. All other parameters remain the same.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Two trains are moving towards 20 th Street Station. One train is traveling at 30mph north and is currently 2 miles south of the station. The second train is traveling at 60 mph west and is currently 8 miles east of the station. At this instant, what is the rate of change of the distance between two trains? Now analyze the same situation and answer the same questions if the first train is moving 50mph south away from the station instead of north. All other parameters remain the same.

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