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

Options

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

Answer

D