A person walks in the following pattern2.9km north then 1.5km west and finally 5

Question

A person walks in the following pattern2.9km north then 1.5km west and finally 5.0km south (A) how far and (B) at what angel (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point
A person walks in the following pattern2.9km north then 1.5km west and finally 5.0km south (A) how far and (B) at what angel (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point
(A) how far and (B) at what angel (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point

Explanation / Answer

A) let north be poisitve y axix and east be negative y axis

than dsplacement of man is

s = 2.9 j -1.5 i -5.0j = -1.5 i -2.1j

magnitude = (1.52 + 2.12)1/2 = 2.58m

B) angle A wth west is

tan A = 2.1/1.5

A =54.46 0

with respect east it would be 54.46 +180 = 234.460

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