A swimmer wishes to cross a river 500 m width flowing at a rate u.
His speed with respect to still water is v. For this, he makes an angle
O with the vertical as shown in the figure. Then:
(A) to cross the river in minimum time, 0 = 0°
(B) to cross the river by shortest path, 0 = 0°
(C) for u = 3 km/hr and y=5 km/hr , the time taken to cross the river
in minimum time will be 6 min
(D) for u = 3 km/hr and v= 5 km/hr , the time taken to cross the river
a shortest path will be 7.5 min.
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