If an object with mass m is dropped from rest, one model for its speed v after t
Chapter 4, Problem 78(choose chapter or problem)
If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is v mt c s1 2 e 2ctym d where t is the acceleration due to gravity and c 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; c is the proportionality constant.) (a) Calculate limt l ` v. What is the meaning of this limit? (b) For fixed t, use lHospitals Rule to calculate limcl 01 v. What can you conclude about the velocity of a falling object in a vacuum?
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