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 degree with the direction of flow of water. find the speed of water in the stream.................
Here, Vr is the velocity of the river w.r.t ground, Vm is the velocity of the man w.r.t river and V is the velocity of the man wrt ground.
tan (90) = [Vm sin120]/[Vr + Vmcos120]
Vr + Vmcos120 = 0
=> Vr = - Vmcos120 = -(0.5)(-0.5) = 0.25 m/s
Thus, velocity of river is 0.25 m/s wrt the ground.