# Relative Velocity of swimming

## Homework Statement

A swimmer can swim at a speed of 1.80m/s in still water. If the current in a river 200m wide is 1.0m/s [E], and the swimmer starts on the south bank and swims so that she is always headed directly across the river, determine:

a) The swimmer's resultant velocity, relative to the river bank.
b) How long she will take to reach the far shore.
c) How far downstream she will land (from the point opposite her starting point)

## The Attempt at a Solution

a) Draw a vector 1.8m/s north, and then 1.0m/s east?

If so,

2.06m/s[N29$$\circ$$E]

b) t = d/v
t=(200m)/(1.8m/s)
=111s

c) d=v*t
d=(1m/s)(111s)
=111m[E]

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