If the temperature is constant, then the atmospheric pressure P (in pounds/square inch) varies with the altitude above sea level h in accordance with the law where p₀ is the atmospheric pressure at sea level and k is a constant.
If the atmospheric pressure is 17 lb/in.² at sea level and 11.5 lb/in.² at 5,000 ft, how fast is the atmospheric pressure changing with respect to altitude at an altitude of 15,000 ft? Give the answer to four decimal places.

Question

If the temperature is constant, then the atmospheric pressure P (in pounds/square inch) varies with the altitude above sea level h in accordance with the law

where p₀ is the atmospheric pressure at sea level and k is a constant.
If the atmospheric pressure is 17 lb/in.² at sea level and 11.5 lb/in.² at 5,000 ft, how fast is the atmospheric pressure changing with respect to altitude at an altitude of 15,000 ft? Give the answer to four decimal places.

Quizplus · Accepted Answer

The Answer of If the temperature is constant, then the atmospheric pressure P (in pounds/square inch) varies with the altitude above sea level h in accordance with the law where p₀ is the atmospheric pressure at sea level and k is a constant. If the atmospheric pressure is 17 lb/in.² at sea level and 11.5 lb/in.² at 5,000 ft, how fast is the atmospheric pressure changing with respect to altitude at an altitude of 15,000 ft? Give the answer to four decimal places. A) 0.0004 lb/in.²/ft B) 0.0006 lb/in.²/ft C) 0.0003 lb/in.²/ft D) 0.0007 lb/in.²/ft E) 0.0005 lb/in.²/ft

If the Temperature Is Constant, Then the Atmospheric Pressure P