A ship A is moving Westwards with a speed of $$10$$ $$kmh-1and$$ a ship B $$100$$ km South of A, is moving Northwards with a speed of $$10$$ km $$h-1$$. The time after which the distance between them becomes shortest, is

Question

A ship A is moving Westwards with a speed of $$10$$ $$kmh-1and$$ a ship B $$100$$ km South of A, is moving Northwards with a speed of $$10$$ km $$h-1$$. The time after which the distance between them becomes shortest, is

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Given situation is shown in the figure. Velocity of ship $$AvA=10$$ km $$h-1towards$$ west Velocity of ship $$BvB=10$$ km $$h-1towards$$ north OS $$=$$ $$100$$ kmOP $$=$$ shortest distanceRelative velocity between A and B $$isvAB=vA2+vB2=102$$ km $$h-1cos45$$°$$=OPOS$$;$$12=OP100OP=1002=10022=502$$ kmThe time after which distance between them equals to OP is given $$byt=OPvAB=502102$$⇒$$t=5$$ h

A ship A is moving Westwards with a speed of $10 {kmh}^{- 1}$ and a ship B 100 km South of A, is moving Northwards with a speed of 10 km $h^{- 1}$ . The time after which the distance between them becomes shortest, is

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A ship A is moving Westwards with a speed of 10 kmh-1and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h-1. The time after which the distance between them becomes shortest, is

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A ship A is moving Westwards with a speed of $10 {kmh}^{- 1}$ and a ship B 100 km South of A, is moving Northwards with a speed of 10 km $h^{- 1}$ . The time after which the distance between them becomes shortest, is