A swimmer can swim at a speed of 0.6 m/s with respect to water. She wants to cross a river which is 50 m wide and has a water current of 0.36 m/s. If she wants to reach on other bank at a point directly opposite from her starting point, in which direction she must swim? OPTIONS: At right angle to river flow At 53° with river flow At 127° with river flow At 143° with river flow

Answers 2

Answer:

At 127° with river flow

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If she wants to reach on other bank at a point directly opposite from her starting point, the direction in which she must swim is at 127° with river flow.

The speed of the swimmer is (u) = 0.6 m/s

The width of the river = 50 m

The speed of the water current is (v) = 0.36 m/s

She wants to reach on the other bank at a point directly opposite from her starting point, so the drift is = 0 m

Suppose she has to swim at an angle of θ with the river flow.

Now, u Cosθ = - v

⇒ Cosθ = - v/u

⇒ Cosθ = - 0.36/0.6

⇒ Cosθ = - 3/5

⇒ Cosθ = 127°

So, the direction in which she must swim is at 127° with river flow.

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