<p>A boat crosses a river of width 93.1m in which the current has a uniform spee

Question

<p>A boat crosses a river of width 93.1m in which the current has a uniform speed of 2.32 m/s.&#160; The pilot maintains a bearing (i.e., the direction in which the boat points) perpendicularto the river and a throttle setting to give a constant speed of 1.78 m/s relative to the water.&#160; What is the magnitude of the speed of the boat relative to a stationary shore observer?<br />Answer in units of m/s</p>
<p>I found the answer to be 2.924175097 m/s.&#160; This is correct however I cannot figure out part 2 of the problem.</p>
<p>&#160;</p>
<p>How far downstream from the initial position<br />is the boat when it reaches the opposite shore?<br />Answer in units of m</p>

Explanation / Answer

you are moving 2.32m/s down stream, and 1.78 m/s across it.
relative velocity=v(2.322 + 1.782) = 2.92 m/s

time=93.1/1.78=52.3 sec

hence distance downstream=2.92*52.3=121.34 m

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