A motorboat sets out at 10 am from a position (( 6i i
2j) km relative to a marker bouy, and travels at a
constant speed of 53 kmhh 1
to intercept a ship. The ship maintains a steady velocity vector
(3i+4j) kmhh 1
and at 11 am is at a position (3i i j) km relative to the bouy.
Find the velocity vector of the motorboat,
the time of interception, and the position vector of the point of
interception relative to the bouy.
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