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## Homework Statement

A swimmer who can swim at a speed of

**0.80m/s**in still water heads directly across a river

**86m**wide. The swimmer lands at a position on the far bank

**54 m**downstream from the starting point.

**Determine:**

(C) The

(C) The

__direction__of departure that would have taken the swimmer directly across the river.(s - swimmer

g - ground

w - water

Vsw = 0.8 m/s

d across stream = 86m)

## Homework Equations

(n/a - see bellow)

## The Attempt at a Solution

From the previous two parts of the question I determined that it took the swimmer

**107.5s**to cross the river and thus the speed of the current is

**0.5 m/s [E]**. And that the velocity of the swimmer relative to the shore was

**0.94 m/s [58 N of E]**. (Which according to my textbook is correct.)

(t=107.5s

Vwg = 0.5 m/s [E]

Vsg=0.94 m/s [58 N of E])

Now, I figured that in order to end up straight across where you start from, you would have to swim

**[58 N of W]**since the current resulted in the swimmer following a path of

**[58 N of E]**. (So this would negate the effect of the current?) However, according to the textbook the answer is

**[W 51 N]**and I have no clue how else to approach this question. Any help/tips please?