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Point 'A' moves uniformly with speed V(1...

Point 'A' moves uniformly with speed `V_(1)(=20 m//sec)` so that vector `vecv_(1)` is continuously 'aimed at point B which in turn moves rectilinearly and uniformly with velocity `v_(2) (=10 m//s)` along the path `PtoQ` as shown in the figure if the time (in sec) when the points A and B converge is  `(3k)/(7)` Then, find the value of k?

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