A grasshopper makes four jumps. The displacement vectors are (1) 34.0 cm, due west; (2) 33.0 cm, 41.0 ° south of west; (3) 22.0 cm, 56.0 ° south of east; and (4) 18.0 cm, 57.0 ° north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction as a positive angle with respect to due west.
First step
We to plot displacement vector in xy plane
second step
Write displacement vector in cartesian form
(a) The magnitude of resultant displacement is 44.37 cm
(b) The direction of resultant displacement is 33.97 degree in south of west.
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