A swimmer, capable of swimming at a speed of 1.0 m/s in still water (i. e., the swimmer can swim with a speed of 1.0 m/s relative to the water), starts to swim directly across a 3.0-km-wide river. However, the current is 0.91 m/s, and it carries the swimmer downstream.

(a) How long does it take the swimmer to cross the river?

(b) How far downstream will the swimmer be upon reaching the other side of the river?

Question

Physics

Kayden Barton

26 February, 21:17

A swimmer, capable of swimming at a speed of 1.0 m/s in still water (i. e., the swimmer can swim with a speed of 1.0 m/s relative to the water), starts to swim directly across a 3.0-km-wide river. However, the current is 0.91 m/s, and it carries the swimmer downstream.

(a) How long does it take the swimmer to cross the river?

(b) How far downstream will the swimmer be upon reaching the other side of the river?

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Answers (1)

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Madelynn Lowe · Answer 1

In this problem, we are given with the resultant velocity of the swimmer considering the current is running 0.91 m/s that is equal to 1.1 m/s2. In this case, using v = d/t, t = 3000m / 1.1 m/s equal to 2727.27 seconds equal to 45.45 hours. The distance downstream is equal to 2727.27 seconds * 0.91 m/s equal to 2481.82 meters.