# A canoe has a velocity of 0.40 m/s southeast relative

A canoe has a velocity of 0.40 m/s southeast relative to the earth. The canoe is on a river that is flowing 0.50 m/s east relative to the earth. Find the velocity (magnitude and direction) of the canoe relative to the river.
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Ronnie Schechter

The velocity (magnitude and direction) of the canoe to the river is
$0.4{\mathrm{cos}45}^{\circ }=0.5-{v}_{crE}$

South

$\theta =\mathrm{arctan}\frac{{v}_{crS}}{{v}_{crE}}={52}^{\circ }$ S of E

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alenahelenash
user_27qwe

The velocity (magnitude and direction) of the canoe to the river is
$0.4\mathrm{cos}{45}^{\circ }=0.5-{v}_{crE}$

South