Question

person walks 50 m east, turns south and walks 32 m, then turns to the southeast (45° south of east) and walks 44 m. a)Determine the magnitude of the resultant displacement vector in meters. b) Determine the direction of the total displacement. Give your response in terms of a compass direction and the angle from it in degrees. c) If the person does this in 52 s, what was the magnitude of their average velocity in m/s?

Answer 1

I figured the other parts out, but Im just confused about the magnitude, would I just add everything up

Answer 2

If we label the successive locations as A,B,C,D, then if we set A = (0,0) we have
B = A + (50,0)
C = B + (0,-32)
D = C + (44/√2,-44/√2) = (81.11,-62.11)
(a) 102.16
(b) E37.4°S
(c) 102.6m/52s = 1,97 m/s