a hiker starts his camp and moves the following distances while exploring his su

Question

a hiker starts his camp and moves the following distances while exploring his surroundings: 75.0m north, 2.50x10^2m east, 125m at an angle 30.0 degrees north of east, and 1.50x10^2m south. Find the magnitude and direction of the displacement from camp. a hiker starts his camp and moves the following distances while exploring his surroundings: 75.0m north, 2.50x10^2m east, 125m at an angle 30.0 degrees north of east, and 1.50x10^2m south. Find the magnitude and direction of the displacement from camp. a hiker starts his camp and moves the following distances while exploring his surroundings: 75.0m north, 2.50x10^2m east, 125m at an angle 30.0 degrees north of east, and 1.50x10^2m south. Find the magnitude and direction of the displacement from camp.

Explanation / Answer

r1 = 75j m

r2 = 250 i m

r3 = 125cos30i + 125sin30 j m

r4 = 150 (-j)

r = r1 + r2 + r3 + r4

= (250 + 125cos30)i + (75 + 125sin30 - 150)j

= 353.92 i - 12.5 j m

Magnitude = sqrt ( 353.92^2 + 12.5^2) = 354.14 m

direction = tan^-1 ( 12.5 / 353.92) = 2.02 degrees south of east

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