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Ship A is sailing towards norht east wit...

Ship A is sailing towards norht east with velocity `vecv=30hati+50hatj` km/hr where `hati` points east and `hatj`, north Ship B is at a distance of 80 km east and 150 km north of Ship A and is sailing towards west at 10 km/hr. A will be at minimum distance from B in _________________hours.

A

4.2 hrs

B

2.6 hrs

C

3.2 hrs

D

2.2 hrs

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(V)_(r ) = 40 hat(i) + 50 hat(j) , vec(r)_(r) = - 80 hat(i) - 150 hat(j)`
`t_(min) = (|vec(V)_(r)vec(r)_(r)|)/(|vec(V)_(r)|^(2))=(10700)/(4100) = 107 /41 = 2.6 sec `
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