For each of the situations described below, use an initial value problem to model the situation. Clearly define any variables and functions used. Do not solve the initial value problems. a. A 60kg ball is released from rest 3km above the Earth. Its drag force has a proportionality constant of 50. Model its velocity as a function of time. b. Air conditioning is turned off in an empty building. Initially, at 6PM, it has an interior temperature of 60°F. The building has a time constant of 4 hours. (Note: This is the time constant, not the constant of proportionality in Newton's Law.) The outdoor temperature fluctuates sinusoidally, reaching a maxmimum of 100°F at noon and a minimum of 60°F at midnight every day. Assume there are no heating or cooling effects on the build aside from Newton's Law of Cooling. Model the building's temperature as a function of time.

For each of the situations described below, use an initial value problem to model the situation. Clearly define any variables and functions used. Do not solve the initial value problems. a. A 60kg ball is released from rest 3km above the Earth. Its drag force has a proportionality constant of 50. Model its velocity as a function of time. b. Air conditioning is turned off in an empty building. Initially, at 6PM, it has an interior temperature of 60°F. The building has a time constant of 4 hours. (Note: This is the time constant, not the constant of proportionality in Newton's Law.) The outdoor temperature fluctuates sinusoidally, reaching a maxmimum of 100°F at noon and a minimum of 60°F at midnight every day. Assume there are no heating or cooling effects on the build aside from Newton's Law of Cooling. Model the building's temperature as a function of time.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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