A person in a canoe can paddle his canoe at a steady 3.0 m/s in still...

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Physics

A person in a canoe can paddle his canoe at a steady 3.0 m/s instill water. He wishes to cross a 2.4 km wide river that has acurrent of 1.8 m/s traveling in the northward direction. Give stepby step details in your solutions and solve graphically andanalytically.
A) If this person first aims his canoe straight across the riverin the eastern direction, the current will carry him downstream ashe paddles across. What will be his actual velocity (magnitude andangle with respect to the eastward diredction) as he crosses? Howlong will it take him to cross the river?
B) If he aims the canoe somewhat upstream, he can actuallytravel straight across the river. In what direction must he aim?What is his actual speed across the river for this situation, andhow long will it take him to cross? (Hint: The downstream directionfound in part (a) will not be the same as the upstream anglerequired in part b!) (Hint: You will need a compass for thegraphical method)

Answer & Explanation Solved by verified expert

4.1 Ratings (647 Votes)

In part 1 we have two perpendicular velocities due to the kayaker and the river 3ms across the river and 18 ms downstream The magnitude of the resultant velocity follows from the Pythagorean theorem v 183 3498 ms The angle of the resultant velocity relative to the shoreline follows See Answer

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