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Question

Two ships are 10 km apart on a line joining south to north. The one farther north is steaming west at 20 km h1. The other is steaming north at 20 km h1. What is their distance of closest approach? How long do they take to reach it?

A
52 km, 15 min
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B
10 km, 12 min
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C
52 km, 12 min
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D
52 km, 102 min
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Solution

The correct option is A 52 km, 15 min

The velocity component of both ships 1 and 2 are equal. Hence, the angle between the two vectors is 45 degrees.
Solving from the frame of particle - 1
We get dshort=10sin45=102=52 km
t=10sin45|v21|=10×12202=14=15 min

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