Answer:
The resultant velocity is
Explanation:
Apply the law of conservation of momentum
Where is the mass of the Luxury Liner = 40,000 ton
is the velocity of Luxury Liner = 20 knots due west
mass of freighter = 60,000
is the velocity of freighter = 10 knots due north
Apply the law of conservation of momentum toward the the west direction
So the equation would be
Substituting values
Where the final velocity due west
Making the subject
Apply the law of conservation of momentum toward the the north direction
So the equation would be
Where the final velocity due north
Making the subject
The resultant velocity is