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Two ships A and B are 10 km apart on a l...

Two ships A and B are `10 km` apart on a line running south to north. Ship A farther north is streaming west at `20 km//h` and ship B is streaming north at `20 km//h.` What is their distance of closest approach and how long do they take to reach it?

Text Solution

Verified by Experts

Solving from the frame of particle 1,
we get `d_("short") = 10 cos 45^@`
=`(10)/(sqrt(2)) = 5 sqrt(2) km`
`t = (10 sin 45)/(|vec V_(21)|) = (10 xx 1//sqrt(2))/(20 sqrt(2))`
=`(1)/(4) h = 15 min`.
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