Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of them (B) is 80 km East of the other (A), as shown in the diagram below. At exactly 2:00 p.m. , A goes west, riding his bicycle at 32 km/h, while B rides south at 20 km/h. When (to the nearest minute) will the bicyclists be closest to each other? What is the minimum distance between them? e: Use the time it takes A to travel to B as a Domain 0l the distance function. Illustrate your solution with a well labelled diagram. A в

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Two Canadian bicyclists are training for the Summer Olympics.
On their initial locations, one of them (B) is 80 km East of the other (A),
as shown in the diagram below. At exactly 2:00 p.m. , A goes west,
riding his bicycle at 32 km/h, while B rides south at 20 km/h.
a) When (to the nearest minute) will the bicyclists be closest to each other?
b) What is the minimum distance between them?
Note: Use the time it takes A to travel to B as a Domain of the distance function.
Illustrate your solution with a well labelled diagram.
A
в
Transcribed Image Text:2. Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of them (B) is 80 km East of the other (A), as shown in the diagram below. At exactly 2:00 p.m. , A goes west, riding his bicycle at 32 km/h, while B rides south at 20 km/h. a) When (to the nearest minute) will the bicyclists be closest to each other? b) What is the minimum distance between them? Note: Use the time it takes A to travel to B as a Domain of the distance function. Illustrate your solution with a well labelled diagram. A в
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