# Pursuit and chase

Point A moves uniformly with velocity v that is continually "aimed" at point B which in turn moves rectilinearly and uniformly with velocity $$u<v$$. At the initial moment of time $$v$$ is perpendicular to $$u$$ and the points are separated by a distance $$L$$.

If at some instant their velocities make certain angle (say $$x$$) and by that time the distance traversed by A perpendicular to the motion of B is $$\dfrac L4$$, find the value of the angle $$x$$ if $$v=2u$$.

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