Moving to aoterqmton wil saue this response Question 7 commuter aurplane start t

Question

Moving to aoterqmton wil saue this response Question 7 commuter aurplane start trom an airport. The plane fiast fses to city A. located 175 km away an a direction 30 degrees north of east it then ties for 150 km 70 degres north of wvest to city B.Fina a 515 km dessen b.165 due west the location of city woth espect to the stanng poun (find dhe total displacement or sesaitent (both magnitude and direction) c. 220m, 87 dagrees roh of eas d246 m, eovees north of west Moing to another question wi save this response

Explanation / Answer

here,

taking north as +y axis and east as +x axis

the distance travelled in trip 1 , s1 = 175 km * ( cos(30) i + sin(30) j)

s1 = 151.55 i km + 87.5 j km

the distance travelled in trip 2 , s2 = 150 km * ( -cos(70) i + sin(70) j)

s2 = - 51.3 i km + 140.95 j km

the distance travelled in trip 3, s3 = - 190 i km

the displacement to city C from the starting point , s =s1 + s2 + s3

s = - 89.75 i km +228.45 j km

the magnitude of displacement , |s| = sqrt(89.75^2 + 228.45^2)

|s| = 246 km

the direction , theta = arctan(228.45 /(89.75))

theta = 69 degree North of West

so, the correct option is d)

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