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A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h. 160 km/h Sioux Falls 140 km/h At time t = 0, the police car is 50 km north and the truck is 30 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing at t = 12 minutes. (Use decimal notation. Give your answer to three decimal places.)

A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h. 160 km/h Sioux Falls 140 km/h At time t = 0, the police car is 50 km north and the truck is 30 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing at t = 12 minutes. (Use decimal notation. Give your answer to three decimal places.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h. 160 km/h rate: Sioux Falls 140 km/h At time t = 0, the police car is 50 km north and the truck is 30 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing at t = 12 minutes. (Use decimal notation. Give your answer to three decimal places.) km/h
Transcribed Image Text:A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east away from Sioux Falls at 140 km/h. 160 km/h rate: Sioux Falls 140 km/h At time t = 0, the police car is 50 km north and the truck is 30 km east of Sioux Falls. Calculate the rate at which the distance between the vehicles is changing at t = 12 minutes. (Use decimal notation. Give your answer to three decimal places.) km/h
A laser pointer is placed on a platform that rotates at a rate of 18 revolutions per minute. The beam hits a wall 8 m away, producing a dot of light that moves horizontally along the wall. Let O be the angle between the beam and the line through the searchlight perpendicular to the wall. How fast is this dot moving when = 6 Wall 8 m Laser (Use decimal notation. Give your answer to one decimal place.) velocity of the dot: m/min
Transcribed Image Text:A laser pointer is placed on a platform that rotates at a rate of 18 revolutions per minute. The beam hits a wall 8 m away, producing a dot of light that moves horizontally along the wall. Let O be the angle between the beam and the line through the searchlight perpendicular to the wall. How fast is this dot moving when = 6 Wall 8 m Laser (Use decimal notation. Give your answer to one decimal place.) velocity of the dot: m/min
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