A hiker starts at his camp and moves the following distances while exploring his surroundings: 55.0 m north, 2.85 102 m east, 115 m at an angle 30.0° north of east, and 1.50 102 m south.

(a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.)

what is the magnitude_______ m

and direction____° south of east

(b) Would changes in the order in which the hiker makes the given displacements alter his final position? yes or no?

Relevance

A hiker starts at his camp and moves the following distances while exploring his surroundings: 55.0 m north, 2.85 102 m east, 115 m at an angle 30.0° north of east, and 1.50 102 m south.

Sin 30 X 115 = 57.5 N ... cos 30 X 115 = 99.59 E

57.5 + 55 - 102 = 10.5 North ... 2.85102 + 99.59 = 102.44 E

use Pythagorean theorem ... R = 103 m

Tan A = 10.5 / 102.44 ..... A = 5.82 degrees

(a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.)

what is the magnitude 103 m

and direction 5.82° south of east << answer

(b) Would changes in the order in which the hiker makes the given displacements alter his final position? yes or no? NO << answer

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