An aeroplane is to go along straight line from $A$ to $B$, and back again. The relative speed with respect to wind is $V$. The wind blows perpendicular to line $AB$ with speed $v$. The distance between $A$ and $B$ is $\ell $. The total time for the round trip is
An aeroplane is to go along straight line from $A$ to $B$, and back again. The relative speed with respect to wind is $V$. The wind blows perpendicular to line $AB$ with speed $v$. The distance between $A$ and $B$ is $\ell $. The total time for the round trip is
- A
$\frac{{2\ell }}{{\sqrt {{V^2} - {v^2}} }}$
- B
$\frac{{2v\ell }}{{{V^2} - {v^2}}}$
- C
$\frac{{2V\ell }}{{{V^2} - {v^2}}}$
- D
$\frac{{2\ell }}{{\sqrt {{V^2} + {v^2}} }}$
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