Science 10 SW #1 Find the resultant of the vectors using the graphical and analytical method.
A ship sails from its home port to Port A which is 150 km 20 N of W. Its next port of call is Port
B which is 200 km 30 W of S. How far is Port B from its home port? What is the direction of Port
B in reference to its home port?
XA = 150 km Cos 20 = - 140.95 km
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0
YA = 150 km Sin 20 = 51.30 km
XB = 200 km Sin 30 = -100 km
YB = 200 km Cos 30 = -173.21 km
ΣX = -140.95 – 100 = -240.95 km
ΣY = 51.30 – 173.21 = - 173.21 km
150 km 20 degree N of W
R = 270.04 km
Ø = Arctan (173.21/240.95) = 26.84 deg S of W
200 km 30 degree W of S
270.04 km 26.84 degree
S of W