Two boys are standing at the ends A and B of a ground, where `AB=a`. The boy at B starts running in a direction perpendicular to AB with velocity `v_(1)`. The boy at A starts running simultaneously with velocity v and catches the other boy in a time t, where t is :

Options

A. `frac(sqrt(v^2+v_1^2)`
B. `a/(v + v^1)`
C. `a/(v - v_1)`
D. `sqrt (a^2/(v^