ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Jack walks 3.00 km 45° south of east (Leg 1). He the changes directions and walks another 5.00 km 53° north of west (Leg 2). What is Jack's displacement (magnitude and direction)? Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5%. Keep all answers to 3 significant figures.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter3: Vectors
Section: Chapter Questions
Problem 3.11OQ: Vector lies in the xy plane. Both of its components will be negative if it points from the origin...
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(1) In which quadrant does the resultant vector lie?
First quadrant
Second quadrant
Third quadrant
O Fourth quadrant
Transcribed Image Text:(1) In which quadrant does the resultant vector lie? First quadrant Second quadrant Third quadrant O Fourth quadrant
1. ANALYTICAL METHOD OF ADDING VECTORS
Solve the same problem as PART 1 but this time analytically. START with the values
below. DO NOT USE VALUES FROM PART 1.
Jack walks 3.00 km 45° south of east (Leg 1). He the changes directions and walks another
5.00 km 53° north of west (Leg 2).
What is Jack's displacement (magnitude and direction)?
Note: In this problem, do not round values if you need to use them for calculations in
subsequent parts. Rounding errors can propagate and can make your final answer lie
outside the tolerance limit of 5%. Keep all answers to 3 significant figures.
Enter to 3 significant figures
(a) X-component of Leg 1:
(b) Y-component of Leg 1:
(c) X-component of Leg 2:
(d) Y-component of Leg 2:
(e) X-component of the resultant displacement:
(f) Y-component of the resultant displacement:
(g) Magnitude of the resultant:
(h) Direction of the resultant measured counterclockwise from the east:
(i) In which quadrant does the resultant vector lie?
km
km
km
km
km
km
km
Transcribed Image Text:1. ANALYTICAL METHOD OF ADDING VECTORS Solve the same problem as PART 1 but this time analytically. START with the values below. DO NOT USE VALUES FROM PART 1. Jack walks 3.00 km 45° south of east (Leg 1). He the changes directions and walks another 5.00 km 53° north of west (Leg 2). What is Jack's displacement (magnitude and direction)? Note: In this problem, do not round values if you need to use them for calculations in subsequent parts. Rounding errors can propagate and can make your final answer lie outside the tolerance limit of 5%. Keep all answers to 3 significant figures. Enter to 3 significant figures (a) X-component of Leg 1: (b) Y-component of Leg 1: (c) X-component of Leg 2: (d) Y-component of Leg 2: (e) X-component of the resultant displacement: (f) Y-component of the resultant displacement: (g) Magnitude of the resultant: (h) Direction of the resultant measured counterclockwise from the east: (i) In which quadrant does the resultant vector lie? km km km km km km km
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