Ship A is sailing towards north-east with velocity) v → = 30 i ^ + 50 j ^ km h - 1 where i ^ points east and j ^ , north. The ship B is at a distance of 80 k m east and 150 k m north of Ship A and is sailing towards the west at 10 k m h - 1 . A will be at the minimum distance from B in:

Question

Ship A is sailing towards north-east with velocity) v → = 30 i ^ + 50 j ^ km h - 1 where i ^ points east and j ^ , north. The ship B is at a distance of 80 k m east and 150 k m north of Ship A and is sailing towards the west at 10 k m h - 1 . A will be at the minimum distance from B in:, 4.2 h, 3.2 h, 2.6 h, 2.2 h

MARKS App · Accepted Answer

v → r e l = v → 1 - v 2 = 40 i + 50 j r → r e l = r → 1 - r → 2 = - 80 i - 150 j t m i n = v → r e l · r → r e l v → r e l 2 = - 3200 - 7500 40 2 + 50 2 2 t m i n = 10700 4100 = 107 41 = 2.6 h

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