Kinematics 3 Question 1

1. The stream of a river is flowing with a speed of 2km/h. A swimmer can swim at a speed of 4km/h. What should be the direction of the swimmer with respect to the flow of the river to cross the river straight?

(2019 Main, 9 April I)

(a) 60

(b) 120

(c) 90

(d) 150

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Answer:

Correct Answer: 1. (b)

Solution:

  1. Let the velocity of the swimmer is vs=4km/h and velocity of river is vr=2km/h

Also, angle of swimmer with the flow of the river (down stream) is α as shown in the figure below

From diagram, angle θ is

sinθ=vrvsr=2km/h4km/h=12θ=30 Clearly, α=90+30=120



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