In biology, a vector is a disease-carrying organism, such as a mosquito or a bat, that is itself not infected with the disease. One such disease, West Nile Virus, is spread primarily by migratory birds. The figure below shows the spread of the virus across the continental United States from 1999 to 2004. Minneapolis 2002 1 550 mi 1 500 mi A San Diego 2004 New York 1999 south of west 1 100 mil Miami 2001 Ⓡ West Nile Virus was first detected in New York in 1999. Two years later, the virus had spread to Miami, a distance of 1,100 miles at a direction of 7.00° west of south from New York. In 2002, the virus was found in Minneapolis, 1,500 miles at a direction 37.0° west of north from Miami. Finally, the virus arrived in San Diego in 2004, a distance of 1,550 miles at a direction 25.0° south of west. (a) What is the net displacement (in mi) of the virus from 1999 to 2004? (Give the direction in degrees south of west, rounded to at least three significant figures.) mi magnitude direction (b) What is the average speed (in mi/h) of the spread of the virus from New York to San Diego during this time? mi/h

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Chapter1: Units, Trigonometry. And Vectors
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In biology, a vector is a disease-carrying organism, such as a mosquito or a bat, that is itself not infected with the disease. One such disease, West Nile Virus, is spread primarily by migratory birds. The figure
below shows the spread of the virus across the continental United States from 1999 to 2004.
San Diego
2004
1 550 mi
Minneapolis-
2002
1500 mi
New York
1999
1 100 mi
Miami
2001
i
West Nile Virus was first detected in New York in 1999. Two years later, the virus had spread to Miami, a distance of 1,100 miles at a direction of 7.00° west of south from New York. In 2002, the virus was found
in Minneapolis, 1,500 miles at a direction 37.0° west of north from Miami. Finally, the virus arrived in San Diego in 2004, a distance of 1,550 miles at a direction 25.0° south of west.
(a) What is the net displacement (in mi) of the virus from 1999 to 2004? (Give the direction in degrees south of west, rounded to at least three significant figures.)
magnitude
mi
direction
o south of west
(b) What is the average speed (in mi/h) of the spread of the virus from New York to San Diego during this time?
mi/h
Transcribed Image Text:In biology, a vector is a disease-carrying organism, such as a mosquito or a bat, that is itself not infected with the disease. One such disease, West Nile Virus, is spread primarily by migratory birds. The figure below shows the spread of the virus across the continental United States from 1999 to 2004. San Diego 2004 1 550 mi Minneapolis- 2002 1500 mi New York 1999 1 100 mi Miami 2001 i West Nile Virus was first detected in New York in 1999. Two years later, the virus had spread to Miami, a distance of 1,100 miles at a direction of 7.00° west of south from New York. In 2002, the virus was found in Minneapolis, 1,500 miles at a direction 37.0° west of north from Miami. Finally, the virus arrived in San Diego in 2004, a distance of 1,550 miles at a direction 25.0° south of west. (a) What is the net displacement (in mi) of the virus from 1999 to 2004? (Give the direction in degrees south of west, rounded to at least three significant figures.) magnitude mi direction o south of west (b) What is the average speed (in mi/h) of the spread of the virus from New York to San Diego during this time? mi/h
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