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
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
- [AIPMT 2005]
- A
$a/\sqrt {{v^2} + v_1^2} $
- B
$\sqrt {{a^2}/({v^2} - v_1^2)} $
- C
$a/(v - {v_1})$
- D
$a/(v + {v_1})$
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