A boy swims in a straight line to reach the other side of a river. His velocity is 5 ms–1 and the angle of swim with shore is 30°. Flow of river opposes his movement at 2 ms–1. If width of river is 200 m, where does he reach the other bank?

A boy swims in a straight line to reach the other side of a river. His

1.	A boy swims in a straight line to reach the other side of a river. His velocity is 5 ms–1 and the angle of swim with shore is 30°. Flow of river opposes his movement at 2 ms–1. If width of river is 200 m, where does he reach the other bank?
Answer» y of river VR = −2i^ VELOCITY of swimmer w.r.t river isVs = 5cos30 i^ + 5sin30 J^ = 4.33 i^ + 2.5 i^ Using VR = Vs + Vr, we getVR = 2.33 i^ + 2.5 j^ Time taken by the swimmer=(Distance Along Y axis) / (Y component of Velocity)= 200/ 2.5= 80sDistance MOVED along x-axis,O′F= X component of relative velocity × time. = 2.33×80 = 186.4mso, he REACH the other bank 186.4 m upstream (ans.)

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A boy swims in a straight line to reach the other side of a river. His velocity is 5 ms–1 and the angle of swim with shore is 30°. Flow of river opposes his movement at 2 ms–1. If width of river is 200 m, where does he reach the other bank? ​

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A boy swims in a straight line to reach the other side of a river. His velocity is 5 ms–1 and the angle of swim with shore is 30°. Flow of river opposes his movement at 2 ms–1. If width of river is 200 m, where does he reach the other bank?