A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due west; (2) 21.0 cm, 50.0° south of west; (3) 24.5 cm, 55.0° south of east; and (4) 34.0 cm, 52.0° north of east. What is the magnitude, in centimeters, and what is the direction of the frog's displacement from its starting point? Express the direction as an angle measured counterclockwise from due east. magnitude 79.43 direction X Draw a careful diagram of the displacement vectors. Think about graphical addition of vectors. Watch signs of components. cm 1.11 Use trigonometric functions, along with the components of the vector sum, to find the angle. Check your result against your diagram. (counterclockwise from due east)

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A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due west; (2) 21.0 cm, 50.0° south of west; (3) 24.5 cm, 55.0° south of east;
and (4) 34.0 cm, 52.0° north of east. What is the magnitude, in centimeters, and what is the direction of the frog's displacement from its starting point? Express the direction as
an angle measured counterclockwise from due east.
magnitude 79.43
direction
Draw a careful diagram of the displacement vectors. Think about graphical addition of vectors. Watch signs of components.cm
1.11
X
Use trigonometric functions, along with the components of the vector sum, to find the angle. Check your result against your diagram.° (counterclockwise from due
east)
Transcribed Image Text:A frog makes four jumps in a row. The displacement vectors for the four jumps are: (1) 28.0 cm, due west; (2) 21.0 cm, 50.0° south of west; (3) 24.5 cm, 55.0° south of east; and (4) 34.0 cm, 52.0° north of east. What is the magnitude, in centimeters, and what is the direction of the frog's displacement from its starting point? Express the direction as an angle measured counterclockwise from due east. magnitude 79.43 direction Draw a careful diagram of the displacement vectors. Think about graphical addition of vectors. Watch signs of components.cm 1.11 X Use trigonometric functions, along with the components of the vector sum, to find the angle. Check your result against your diagram.° (counterclockwise from due east)
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