If an object with mass is dropped from rest, one model for
Chapter 4, Problem 4.285(choose chapter or problem)
If an object with mass is dropped from rest, one model for its speed after seconds, taking air resistance into account, is where is the acceleration due to gravity and is a positive constant. (In Chapter 9 we will be able to deduce this equation from the assumption that the air resistance is proportional to the speed of the object; is the proportionality constant.) (a) Calculate . What is the meaning of this limit? (b) For fixed , use lHospitals Rule to calculate . What can you conclude about the velocity of a falling object in a vacuum?
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