Two ships pursue straight-line courses at steady speeds. At each time t (in hours, where 0 ≤ t ≤ 9),  the positions of the two ships are given by: Ship A: (20t + 35, 35 - 20t) Ship B: (22t + 35, 25 - 19t) These coordinates are with reference to a particular coordinate system, with distance measured in kilometres. What is the closest distance to which the ships approach each other and when does this closest distance occur? Give you answers exactly.   The closest distance of approach is ? km This occurs at time t = ? hour(s)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two ships pursue straight-line courses at steady speeds. At each time t (in hours, where 0 ≤ t ≤ 9),  the positions of the two ships are given by:

Ship A: (20t + 35, 35 - 20t)

Ship B: (22t + 35, 25 - 19t)

These coordinates are with reference to a particular coordinate system, with distance measured in kilometres.

What is the closest distance to which the ships approach each other and when does this closest distance occur? Give you answers exactly.

 

The closest distance of approach is ? km

This occurs at time t = ? hour(s)

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