If an object with mass m 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.)
(a) Calculate lim x→ ∞ v. What is the meaning of this limit?
(b) For fixed use l€™ Hospital€™s Rule to calculate lim m→∞ v
What can you conclude about the speed of a very heavy falling object?

Transcribed Image Text:

mg (--ctim)