A swimmer heads directly across a river, swimming at 1 m/s relative to the water

Question

A swimmer heads directly across a river, swimming at 1 m/s relative to the water. She arrives at a point36 m downstream from the point directlyacross the river, which is 81 m wide. (a) What is the speed of the river current?
m/s

(b) What is the swimmer's speed relative to the shore?
m/s

(c) In what direction should the swimmer head so as to arrive atthe point directly opposite her starting point?
° upstream from straight ahead
(a) What is the speed of the river current?
m/s

(b) What is the swimmer's speed relative to the shore?
m/s

(c) In what direction should the swimmer head so as to arrive atthe point directly opposite her starting point?
° upstream from straight ahead

Explanation / Answer

the speed of the river current is x while she crossed 81 m , the current flowed 36 m 81/1=36/x => x=0.44m/s (b)the swimmer's speed relative to the shore v=(12+x2)=1.094 m/s (c)the direction making with straigh line ahead 1m/s*sin=x => =26.390

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