FULL SCREEN PRINTER VERSION BACK NEXT Chapter 01, Problem 53 A sailboat race cou

Question

FULL SCREEN PRINTER VERSION BACK NEXT Chapter 01, Problem 53 A sailboat race course consists of four legs, defined by the displacement vectors A.B.C, and D, as the drawing indicates. The magnitudes of the first three vectors are A km, and C = 5.10 km. The finish line of the course coincides with the starting line. Using the data in the drawing find (a) the distance of the fourth leg and (b) the angle . 3.10 km, B 4.60 23. 35.Q 400 Finish Start (a) Number Units (b) Number Units SHOW HINT LINK TO TEXT Question Attempts: o of 10 used SAVE FOR LATER SUBMIT ANSWER SUBMIT ANSWER

Explanation / Answer

Ax = 3.1*cos40 = 2.375km,

Ay = 3.1*sin40 = 1.993km

Bx = -4.6*cos35 = -3.768km,

By = 4.6*sin35 = 2.638km

Cx = -5.10*cos23 = -4.695km,

Cy = -5.10*sin23 = -1.993km

Dx = 0 - (Ax + Bx + Cx) = 6.088km,

Dy = 0 - (Ay + By + Cy) = -2.668km

D = sqrt(Dx^2 + Dy^2)

D = sqrt(6.088^2 + 2.668^2)

D = 6.647km

theta = arctan|Dy/Dx| = arctan(2.668/6.088) = 21.2 degrees

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