# Swimmer moving in river

1. May 23, 2016

### Ab17

1. The problem statement, all variables and given/known data

A river has a steady speed of 0.500 m/s. A student swims M upstream a distance of 1.00 km and swims back to the Q/C starting point. (a) If the student can swim at a speed of 1.20 m/s in still water, how long does the trip take? (b) How much time is required in still water for the same length swim? (c) Intuitively, why does the swim
take longer when there is a current?

2. Relevant equations
Vse = Vsr - Vre

3. The attempt at a solution
I done this problem by adding the velocity of the swimmer and current vectorialy to get the relative speed if student w.r.t to earth then when I searced for the solution they had just added the two speed for the upward motion and subtracted them for downward motion. Im really confused i dont know whats going on

2. May 23, 2016

### rpthomps

Break the question up in two parts. First, find the relative velocity of the swimmer with the shore going upstream and use this to find the time. Do the same again for downstream.

3. May 23, 2016

### Ab17

Must I do it vectorially?

4. May 23, 2016

### rpthomps

I would. It makes it easier to understand, in my opinion.

5. May 23, 2016

### Ab17

I got 1.09 m/s relative to the earth

6. May 23, 2016

### rpthomps

How did you get that?

7. May 23, 2016

### Ab17

Sqrt((1.2)^2 - (0.5)^2)

8. May 23, 2016

### rpthomps

The velocity of the river and the velocity of the swimmer are not perpendicular to one another. Upstream means that the swimmer is parallel to the river but is working against the current. Downstream means that the current is pushing the swimmer. Knowing this, what would the addition of the vectors be in both the upstream case and the downstream one?

9. May 23, 2016

### Ab17

This is what I done

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10. May 23, 2016

### Ab17

There will be no components for the vectors thats explains why they were just adding for going upstream and subtracting for downstream

11. May 23, 2016

### rpthomps

Right. You have the swimmer on an angle but the question just says upstream, not going to the other bank or something like that.