If an object with mass is dropped from rest, one model for its speed after seconds, taking air resistance into account, is v=mg/c(1-e^(-ct/m))
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 the air resistance is proportional to the speed of the object; is the proportionality constant.) (a) Calculate lim . What is the meaning of this limit? (b) For fixed use l'Hospital's Rule to calculate . What can you conclude about the velocity of a falling object in a vacuum?

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06-12-2022
Mathematics

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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 v=mg/c(1-e^(-ct/m))
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 the air resistance is proportional to the speed of the object; is the proportionality constant.) (a) Calculate lim . What is the meaning of this limit? (b) For fixed use l'Hospital's Rule to calculate . What can you conclude about the velocity of a falling object in a vacuum?

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