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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A motorboat sets out at 10 am from a position (-6i – 2j) km relative to
a marker buoy, and travels at a constant speed of 53km/h to intercept a
ship.
The ship maintains a steady velocity vector (3i + 4j) km/h and at 11 am
is at a position (3i – j) km relative to the buoy. Find the velocity vector
of the motorboat, the time of interception, and the position vector of the
point of interception relative to the buoy.
Transcribed Image Text:A motorboat sets out at 10 am from a position (-6i – 2j) km relative to a marker buoy, and travels at a constant speed of 53km/h to intercept a ship. The ship maintains a steady velocity vector (3i + 4j) km/h and at 11 am is at a position (3i – j) km relative to the buoy. Find the velocity vector of the motorboat, the time of interception, and the position vector of the point of interception relative to the buoy.
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