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1. A grasshopper makes four jumps. THe siplacement vectors are (1) 27 cm, due west; (2) 23 cm, 35 degrees south of west; (3) 28 cm, 55 degrees south of east; and (4) 35 cm, 63 degrees north of east. Find the magnitude and direction of the resultant displacement. Express the direction with respect to due west
I'm a litle confused with almost everything. I know how to draw the picture though.
A= 27 cm
Angle A=180
B=23 cm
Angle B= 35 degres
C= 28 cm
Angle C= 55 degrees
D= 35 cm
Angle D= 63
Ax=Acos0a
= -116.6 cm
Bx=Bcos0b
= -20.8
Cx= -.67 cm
Dx=Dcos0d
=34.5 cm
Ay=Asin0A
= -21.63
By= -9.8 cm
Cy= -27.9 cm
Dy= 5.9 cm
Rx= ax + bx + cx + dx
=Rx= -2.23
Ry= ay+ by + cy + dy
Ry= -53.43 cm
R^2= rx^2 + ry^2
= 53. 48 cm
Angle R= ry/rx
=181.53 degres.
Homework Equations
I'm a litle confused with almost everything. I know how to draw the picture though.
The Attempt at a Solution
A= 27 cm
Angle A=180
B=23 cm
Angle B= 35 degres
C= 28 cm
Angle C= 55 degrees
D= 35 cm
Angle D= 63
Ax=Acos0a
= -116.6 cm
Bx=Bcos0b
= -20.8
Cx= -.67 cm
Dx=Dcos0d
=34.5 cm
Ay=Asin0A
= -21.63
By= -9.8 cm
Cy= -27.9 cm
Dy= 5.9 cm
Rx= ax + bx + cx + dx
=Rx= -2.23
Ry= ay+ by + cy + dy
Ry= -53.43 cm
R^2= rx^2 + ry^2
= 53. 48 cm
Angle R= ry/rx
=181.53 degres.