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 .…

Question

Ship A is sailing towards north-east with velocity) v &#8594; = 30 i ^ + 50 j ^ &#160; km &#160; h - 1 &#160; where i ^ points east and j ^ , north. The ship B is at a distance of 80 &#160; k m east and 150 &#160; k m north of Ship A and is sailing towards the west at 10 &#160; k m &#160; h - 1 . A will be at the minimum distance from B in:

Aicharya · Accepted Answer

v &#8594; r e l = v &#8594; 1 - v 2 = 40 i + 50 j r &#8594; r e l = r &#8594; 1 - r &#8594; 2 = - 80 i - 150 j t m i n = v &#8594; r e l &#183; &#8201; r &#8594; r e l v &#8594; r e l 2 = - 3200 - 7500 40 2 + 50 2 2 t m i n = 10700 4100 = 107 41 = 2.6 &#8201; h

Ship A is sailing towards north-east with velocity) v → = 30 i ^ + 50 j ^   km   h - 1 &#160…

Solution

Ship A is sailing towards north-east with velocity) v &#8594; = 30 i ^ + 50 j ^ &#160; km &#160; h - 1 &#160…

Solution

Ship A is sailing towards north-east with velocity) v → = 30 i ^ + 50 j ^ km h - 1 &#160…