2. l4 points SerCP10 3.P.014. My Notes Ask Your Teacher A hiker starts at his ca

Question

2. l4 points SerCP10 3.P.014. My Notes Ask Your Teacher A hiker starts at his camp and moves the following distances while exploring his surroundings 70.0 m north, 2.80 x 102 m east, 1.30 x 102 m at an angle 30.0o north of east, and 1.50 x 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) magnitude m direction o south of east (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Yes No Explain. This answer has not been graded yet. Need Help? Read It

Explanation / Answer

r1 = 70j m

r2 = 280i m

r3 = 130(cos30i + sin30j) = 112.58i + 65j m

r4 = 150(-j) m

r = r1 + r2 + r3 + r4

r = 392.58i - 15j m

magnitude = sqrt(392.58^2 + 15^2) = 392.87 m

direction = tan^-1(15/392.58) = 2.19 deg

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