A swimmer is at a point 500 m from the closest point on straight shoreline. She needs to reach a cottage located 1800 m down shore from the closest point. If she swims at 4 m/s and she walks at 6 m/s, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time (in meters)?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
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Problem 132
A swimmer is at a point 500 m from the
closest point on straight shoreline. She needs
to reach a cottage located 1800 m down
shore from the closest point. If she swims at
4 m/s and she walks at 6 m/s, how far from
the cottage should she come ashore so as to
arrive at the cottage in the shortest time (in
meters)?
Transcribed Image Text:Problem 132 A swimmer is at a point 500 m from the closest point on straight shoreline. She needs to reach a cottage located 1800 m down shore from the closest point. If she swims at 4 m/s and she walks at 6 m/s, how far from the cottage should she come ashore so as to arrive at the cottage in the shortest time (in meters)?
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