A launch travels across a river from a point `A` to a point `B` of the opposite bank along the line `AB` forming angle `prop` with the bank. The flag on the mast of the launch makes an angle `beta` with its direction of motion. Determine the speed of the launch w.r.t. the bank. The velocity of wind is `u` perpendicular to the stream.
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A man in a row boat must get from point A to point B on the opposite bank of the river (see figure).The distance BC=a .The width of the river AC=b .At what minimum speed u relative to the still water should the boat travel to reach the point B ?The velocity of flow of the river is v_(0)

A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.6 m/s at an angle of 120^(@) with the direction of flow of water . The speed of water in the stream is

A person aiming to reach exactly opposite point on the bank of a stream is swimming with a speed of 0.6 m/s at an angle of 120^(@) with the direction of flow of water . The speed of water in the stream is

A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5(m)/(s) at an angle of 120^@ with the direction of flow of water. The speed of water in the stream is

From a point A on bank of a channel with still water a person must get to a point B on the opposite bank.All the distances are shown in figure.The person uses a boat to travel across the channel and then walks along the bank of point B .The velocity of the boat is v_(1) and the velocity of the walking person is v_(2) .Prove that the fastest way for the person to get from A to B is to select the angles alpha_(1) and alpha_(2) in such a manner that

A person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5 ms^-1 at an angle of 120^(@) with the direction of flow of water. The speed of water in the stream, in ms^-1 is ,

Person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5ms^(-1) at an angle of 120^(@) with the direction of flow of water.The speed of water in the stream is

Person aiming to reach the exactly opposite point on the bank of a stream is swimming with a speed of 0.5ms^(-1) at an angle of 120^(@) with the direction of flow of water.The speed of water in the stream is