26. Walking and swimming A man wishes to get from an initial point on the shore of a circular pond with radius 1 mi to a point on the shore directly opposite (on the other end of the diameter). He plans to swim from the initial point to another point on the shore and then walk along the shore to the terminal point. a. If he swims at 2 mi/hr and walks at 4 mi/hr, what are the maximum and minimum times for the trip? b. If he swims at 2 mi/hr and walks at 1.5 mi/hr, what are the maximum and minimum times for the trip? c. If he swims at 2 mi/hr, what is the minimum walking speed for which it is quickest to walk the entire distance?
26. Walking and swimming A man wishes to get from an initial point on the shore of a circular pond with radius 1 mi to a point on the shore directly opposite (on the other end of the diameter). He plans to swim from the initial point to another point on the shore and then walk along the shore to the terminal point. a. If he swims at 2 mi/hr and walks at 4 mi/hr, what are the maximum and minimum times for the trip? b. If he swims at 2 mi/hr and walks at 1.5 mi/hr, what are the maximum and minimum times for the trip? c. If he swims at 2 mi/hr, what is the minimum walking speed for which it is quickest to walk the entire distance?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:26. Walking and swimming A man wishes to get from an initial point on the shore of a circular pond with radius 1 mi to a
point on the shore directly opposite (on the other end of the diameter). He plans to swim from the initial point to
another point on the shore and then walk along the shore to the terminal point.
a. If he swims at 2 mi/hr and walks at 4 mi/hr, what are the maximum and minimum times for the trip?
b. If he swims at 2 mi/hr and walks at 1.5 mi/hr, what are the maximum and minimum times for the trip?
c. If he swims at 2 mi/hr, what is the minimum walking speed for which it is quickest to walk the entire distance?
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