3. Airplane A is 500 km south of airplane B. Plane A is flying 600 km/h going southwhile plane B is flying 800 km/h going west. If the two planes are of the samealtitude, how fast is the distance between them changing after 2 hours?4. A man is walking beside a 30-m street lamp. After walking 25 m away from thestreet lamp, he sunk into a quicksand. At the time when 2 m of him are above theground, he is sinking at 1 m/s. At what rate is the length of his shadow changing atthat moment?

topic - application of derivatives note : As per bartleby guidelines, we are supposed to answer only…

Answered: 3. Airplane A is 500 km south of…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 23 knots and ship B is sailing north at 22 knots. How fast (in knots) is the distance between the ships changing at 7 PM?
Station A is at 130.6 km to the west of station B. At 11:00 am, car left station B north at a speed of 35.8 km/h. At noon, a car left station A toward east at a speed of 40.7 km/h. How fast is the distance between the cars changing at 3:00 pm? Round the final answer to the nearest whole number. Provide a sketch.
Car A is traveling north on a straight highway and car B is traveling west on a different straight highway. Each car is approaching the intersection of these highways. At a certain moment, car A is 0.3 km from the intersection and traveling at 95 km/h while car B is 0.4 km from the intersection and traveling at 70 km/h. How fast is the distance between the cars changing at that moment?
(7) Two cars (Car A and Car B) travel on parallel east-west roads (Road 1 and Road 2) located 10km apart. Car A is travelling west on Road 1 at a speed of 80km/h. Car B is travelling east on Road 2 at a speed of 50km/h. How fast is the distance between them changing, when the distance between them is 15km? Hint. Draw a picture to get started.
7) An airplane is flying on a flight path that is 5 miles above the ground and that will take it directly above a radar station. If the plane is moving at a speed of 300 miles per hour when its distance from the point on its path directly above the radar is 8 miles, how fast is the angle of elevation of the radar increasing if we want it to follow the position of the airplane?
At 11 a.m., ship A is 100 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 20 km/h. How fast is the distance between the ships changing at 3:00 p.m.?

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3. Airplane A is 500 km south of airplane B. Plane A is flying 600 km/h going south while plane B is flying 800 km/h going west. If the two planes are of the same altitude, how fast is the distance between them changing after 2 hours?