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 o . Flow of river opposes his movement at 2 ms -1 . If width of river is 200 m, where does he reach the other bank?
Text Solution
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Velocity of river 
Velocity of swimmer w.r.t river is
s = 5 cos 30 
+ 5 sin 30 
= 4.3 
+ 2.5 
Using 
R = 
s + 
r we get
R = 2.33 
+ 2.5 
Time taken by swimmer = Distance along y – axis/ y component of velocity
= 200/2.5 = 80 s
Distance moved along x – axis,
O'F = x component of relative velocity × time
= 2.33 × 80 = 186.4 m
~ 186 m upstream
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