As a High Point Univ. student walks to her dorm on the sidewalks, she has three

Question

As a High Point Univ. student walks to her dorm on the sidewalks, she has three successive displacement vectors (i.e. one right after the other):
delta r of A = (19 m)i
delta r of B = (16 m)j
delta r of C = (11 m)i + (17 m)j
What is the x-component of the total displacement of the student?
_____m
What is the y-component of the total displacement of the student?
_____m
What is the magnitude of the total displacement of the student?
_____m
What is the angle between the displacement vector (i.e. total displacement) and the horizontal axis?
_____

Explanation / Answer

for x component , add total x displacements i.e. "i" components... 19 ( in A)+ 11 ( in C+ = 30i
similarly for y , add "j" components , 16 (in B) + 17 (in C) = 33 j
for total add these two.... 30i + 33j
for angle with horizontal axis , tan = ycomponent/x component = 33/30 = 11/10

= tan^-1(11/10) = .833 radian = 47.7 degree

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