How long will a plane take to fly around a square with side a with the wind blowing at a velocity u, in the two cases (a) the direction of the wind coincides with one of the sides (b) the direction of the wind coincides with one diagonal of the square. The velocity of the plane in still air is `v gt u`..

Answer

[(a) `(2a(v+sqrt(v^(2)-u^(2))))/(v^(2)-u^(2))`, (b) `(4asqrt((v^(2)-u^(2)//2)))/(v^(2)-u^(2))`]