P 3.12A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the circle,find (a) the magnitude of the displacement vector and(b) what distance she skated. (c) What is themagnitude of the displacement if she skates all the way around the circle?P 3.14A hiker starts at his camp and moves the follow-ing distances while exploring his surroundings: 75.0 mnorth, 2.50 x 10- m east, 125 m at an angle 30.0° north of east, and 1.50 x 10 m south. (a) Find hisresultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his finalposition? Explain.P 3.19A commuter airplane starts from an airport and takes the route shown in the following figure. The planefirst flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0°west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city Crelative to the location of the starting point.y (km)250NBCw-p+E20020.00Z<

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Asked Sep 2, 2019
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Im confused on P 3.14. 

P 3.12
A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the circle,
find (a) the magnitude of the displacement vector and(b) what distance she skated. (c) What is the
magnitude of the displacement if she skates all the way around the circle?
P 3.14
A hiker starts at his camp and moves the follow-ing distances while exploring his surroundings: 75.0 m
north, 2.50 x 10- m east, 125 m at an angle 30.0° north of east, and 1.50 x 10 m south. (a) Find his
resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-
direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final
position? Explain.
P 3.19
A commuter airplane starts from an airport and takes the route shown in the following figure. The plane
first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0°
west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C
relative to the location of the starting point.
y (km)
250
N
B
C
w-p
+E
200
20.00
Z<
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P 3.12 A figure skater glides along a circular path of radius 5.00 m. If she coasts around one half of the circle, find (a) the magnitude of the displacement vector and(b) what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle? P 3.14 A hiker starts at his camp and moves the follow-ing distances while exploring his surroundings: 75.0 m north, 2.50 x 10- m east, 125 m at an angle 30.0° north of east, and 1.50 x 10 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y- direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Explain. P 3.19 A commuter airplane starts from an airport and takes the route shown in the following figure. The plane first flies to city A, located 175 km away in a direction 30.0° north of east. Next, it flies for 150 km 20.0° west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starting point. y (km) 250 N B C w-p +E 200 20.00 Z<

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Expert Answer

Step 1

(a) First resolve the components in x and y directions.

N
125 m
150 m
E
250 m
2_30_
75 m
S
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N 125 m 150 m E 250 m 2_30_ 75 m S

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Step 2

Let the total Displacement in x direction is A:

A 2.5x102 125 cos 30
V3
A 250 125x
2
A 250 108.25
A 358.25 m
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A 2.5x102 125 cos 30 V3 A 250 125x 2 A 250 108.25 A 358.25 m

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Step 3

Let the total Displacement ...

B 75 125sin 30 - 1.5x102
B 75 125x-150
2
B 75 62.5-150
B=-12.5 m
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B 75 125sin 30 - 1.5x102 B 75 125x-150 2 B 75 62.5-150 B=-12.5 m

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