A pedestrian moves 6.00 km east then 13.0 km north. Using the graphical method, find the magnitude and direction of the resultant displacement vector.

Question

Bruce Blevins

Mathematics

14 August, 23:32

A pedestrian moves 6.00 km east then 13.0 km north. Using the graphical method, find the magnitude and direction of the resultant displacement vector.

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Everett Pace · Answer 1

Resultant vector

r = (6^2 + 13^2) ^0.5

r = (36 + 169) ^0.5

r = 205^0.5

r = 14.13 km

Direction of the vector

tan theta = 13/6

tan theta = 2.17

theta = 65.22