# Catch the Thief!

Classical Mechanics Level 3

Two ships $$A$$ and $$B$$ are originally at a distance $$d$$ from each other depart at the same time from a straight coastline. Ship $$A$$ moves along a straight line perpendicular to the shore while ship $$B$$ constantly heads for ship $$A$$, having at the each moment same as the latter. After a sufficiently great interval of time the second ship will be following the first one at a certain distance $$x$$. Find $$x$$ in the image above.

Details and Assumptions

• $$d= 26$$ m

• In final position they are in same straight line perpendicular to coastline ( track of $$A$$ )

• Their speeds are the same.

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