Question

A grasshopper makes four jumps. The displacement vectors are (1) 34.0 cm, due west; (2) 33.0...

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.

Homework Answers

Answer #1

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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