Question

21076/Homework%202%20Assignment%2024 25.pdf nt 4. A ship starts at the origin, experiences a displacement of 3000.0 m directly northeast, another displacement of 1000.0 m directly east, and then a final displacement of 3000.0 m directly southeast. Graphically find the total cycle displacement of the ship by vector-adding the individual displacement vectors using the tail-to-head method, and then estimating the magnitude and direction of the final vector.

Answer 1

A_x = a cos 45 + A_y = A sin 45 degree B_x = 1000, B_4 = 0 C_x = C cos 45 degree, C_y = -C sin 45 degree D_x = A_x + B_x + C_x = 3000 cos 45 + 1000 + 3000 cos 45b degree = 5242.6m D_y = A_y + B_y + C_y = 3000 sin 45 + 0 - 3 sin 45 degree = vert D vert = squareroot D_x^2 + D_y^2 = 5242.6 m direction along East direction