dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in m2/s) is the area of the spill increasing when the radius is  33 m?    __________ m2/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1.) A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 7 ft/s along a straight path. How fast (in ft/s) is the tip of his shadow moving when he is 45 feet from the pole?

________ ft/s

 

2.) Two cars start moving from the same point. One travels south at 32 mi/h and the other travels west at 24 mi/h. At what rate (in mi/h) is the distance between the cars increasing four hours later?

________ mi/h

 

3. Question (a) is already solved. Please solve question (b).

(a)
If A is the area of a circle with radius r and the circle expands as time passes, find 
dA
dt
 in terms of 
dr
dt
.
dA
dt
 = 
 
 
2πr
 
 
  
 
 
dr
dt
(b)
Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 2 m/s, exactly how fast (in m2/s) is the area of the spill increasing when the radius is 
33 m?
 
 __________ m2/s

 

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