Answer: If an object with mass is dropped from rest, one model for its speed after

Chapter 4, Problem 76

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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 propor tional 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 fallingobject in a vacuum?

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