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# An athlete crosses a 25-m-wide river by swimming

ISBN: 9781938168000 42

## Solution for problem 65PE Chapter 3

College Physics | 1st Edition

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Problem 65PE

An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of 0.5 m/s relative to the water. He reaches the opposite side at a distance 40 m downstream from his starting point. How fast is the water in the river flowing with respect to the ground? What is the speed of the swimmer with respect to a friend at rest on the ground?

Step-by-Step Solution:

Solution 65PE

Step 1 of 4</p>

In the given problem, a swimmer passes a river by swimming perpendicular to the water current with width with speedrelative to water. Swimmer reaches the other end of river by covering a distance of downstream from the starting point as shown in the figure below. Here we need to calculate the speed of water in river with respect to ground and also the speed of swimmer with respect to ground.

The relative speed is the speed of an object measured from a particular reference frame and it will vary as the reference frame changes. As in the given case it varies for a swimmer relative to water and relative to ground.

Step 2 of 4</p>To calculate the speed of water relative to ground,

In order to calculate the speed of water relative to ground, first we need to calculate the time taken to swim over the river with perpendicular to water current. So that the swimmer will be swept by the water current to a distance of downstream in the time with the speed of water current.

The time taken by the swimmer to cover a width of river with a perpendicular speed relative to water as  is given by,

Substituting  and

Step 3 of 4

Step 4 of 4

##### ISBN: 9781938168000

College Physics was written by and is associated to the ISBN: 9781938168000. The answer to “An athlete crosses a 25-m-wide river by swimming perpendicular to the water current at a speed of 0.5 m/s relative to the water. He reaches the opposite side at a distance 40 m downstream from his starting point. How fast is the water in the river flowing with respect to the ground? What is the speed of the swimmer with respect to a friend at rest on the ground?” is broken down into a number of easy to follow steps, and 69 words. This textbook survival guide was created for the textbook: College Physics , edition: 1. Since the solution to 65PE from 3 chapter was answered, more than 1551 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 65PE from chapter: 3 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This full solution covers the following key subjects: Water, speed, Ground, river, respect. This expansive textbook survival guide covers 34 chapters, and 3125 solutions.

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An athlete crosses a 25-m-wide river by swimming

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