When Will Two Particles Converge in a Tricky Kinematics Problem?

suryanarayana
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at an instant two particles, A and B are separated by 'l' distance. A particle is going north with a uniform velocity of u. and the speed of B is v. initially the velocity vectors are perpendicular. always velocity of B is aimed towards A . find when they converge.(meet)
(v>u)




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I don't know even how to start because the trajectory seems curved and seemed to need some higher math.
however I am well aquianited with calculus. but I just don't know how to use it here.
 
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