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A Beach Comber is 5 miles from a stretch of shore, rowing at 3 miles per hour (see figure below). 6 m SHORE 3 mph В -5 m He can walk on the shore at a rate of 5 miles per hour. He wishes to reach a point (C) that is 6 miles downshore from the nearest point (A). He could row directly (from point B) to the desired destination (C), or he could row directly to the shore (point A) and walk to the desired destination (C), or he could do some combination of these. What route would get him to point C in the shortest time? Formulate this as a mathematical program. DO NOT SOLVE. (Hint: Recall the Pythagoras theorem:) 5 mph

A Beach Comber is 5 miles from a stretch of shore, rowing at 3 miles per hour (see figure below). 6 m SHORE 3 mph В -5 m He can walk on the shore at a rate of 5 miles per hour. He wishes to reach a point (C) that is 6 miles downshore from the nearest point (A). He could row directly (from point B) to the desired destination (C), or he could row directly to the shore (point A) and walk to the desired destination (C), or he could do some combination of these. What route would get him to point C in the shortest time? Formulate this as a mathematical program. DO NOT SOLVE. (Hint: Recall the Pythagoras theorem:) 5 mph

Advanced Engineering Mathematics
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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A Beach Comber is 5 miles from a stretch of shore, rowing at 3 miles per hour (see figure below). 6 m SHORE 3 mph В -5 m He can walk on the shore at a rate of 5 miles per hour. He wishes to reach a point (C) that is 6 miles downshore from the nearest point (A). He could row directly (from point B) to the desired destination (C), or he could row directly to the shore (point A) and walk to the desired destination (C), or he could do some combination of these. What route would get him to point C in the shortest time? Formulate this as a mathematical program. DO NOT SOLVE. (Hint: Recall the Pythagoras theorem:) 5 mph
Transcribed Image Text:A Beach Comber is 5 miles from a stretch of shore, rowing at 3 miles per hour (see figure below). 6 m SHORE 3 mph В -5 m He can walk on the shore at a rate of 5 miles per hour. He wishes to reach a point (C) that is 6 miles downshore from the nearest point (A). He could row directly (from point B) to the desired destination (C), or he could row directly to the shore (point A) and walk to the desired destination (C), or he could do some combination of these. What route would get him to point C in the shortest time? Formulate this as a mathematical program. DO NOT SOLVE. (Hint: Recall the Pythagoras theorem:) 5 mph
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