A swimmer wishes to .cross a river 500 m wide flowing at a rate 'u'. His speed with respect to still water is 'v'. For this, he makes an angle` theta` with the perpendicular as shown ip. the. figure.

To cross the river in minimum time, the value of `theta` should be:

A swimmer wishes to cross a 500 - m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

A swimmer wishes to cross a 500 - m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

A swimmer wishes to cross a 500 m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

A swimmer wishes to cross a 500 m river flowing at 5 km h^-1 . His speed with respect to water is 3 km h^-1 . The shortest possible time to cross the river is.

A swimmer wishes to cross a 500m wide river flowing at a rate 5km/hr. His speed with respect to water is 3km/hr. (a) If the heads in a direction making an angle theta with the flow, he takes to cross the river. (b) Find the shortest possible time to cross the river.

A man can swim in still water at 4m//s river is flowing at 2m//s . the angle with downstream at which he should swim to cross the river minimum drift is

A man can swim in still water at 4m//s river is flowing at 2m//s . the angle with downstream at which he should swim to cross the river minimum drift is

A swimmer starts to swim from point a to cross a river. He wants to reach point B on the opposite side of the river. The line AB makes an angle 60^(@) with the river flow as shown. The velocity of the swimmer in still water is same as that of the water (i) In what direction should he try to direct his velocity ? Calculate angle between his velocity and river velocity. (ii) Find the ratio of the time taken to cross the river in this situation to the minimum time in which he can cross this river.