PART B Find the direction of the velocity of the canoe relat

/****PART \"B\": Find the direction of the velocity of the canoe relative to the river.
Express your answer as an angle measured south of west. ****/

± A Canoe on a River Part A A canoe has a velocity of 0.520 m/s southeast relative to the earth. The canoe is on a river that is flowing at 0.570 m/s east relative to the earth. (Figure 1) Find the magnitude of the velocity c/r of the canoe relative to the river. Express your answer in meters per second. Figure 1 of 1 c0.205 m/s c/r Submit Hints My Answers Give Up Review Part Incorrect; Try Again; 5 attempts remaining rle Part B 45° Vcle This question will be shown after you complete previous question(s) Provide Feedback Continue

Solution

v_x = v_x(canoe, earth) – v_x(river, earth)

= 0.520 * cos(315) + 0.570 * cos(180) = -0.202

y component of the velocity

v_y= 0.520 * sin(315) + 0.570 * sin(180)

vy(canoe, river) = -0.368

v = sqrt (x² + y²) = sqrt(-0.202² + -0.368²)

v = 0.419 m/s

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theta = tan^-1( y / x)

= tan^-1(-0.368 / -0.202)

= 61.21⁰