Assignment:
"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=[(mg)/(c)][1-e^([-ct]/m)]
where g is the acceleration due to gravity and c is a positive constant.
(a) Calculate the limit as t approaches infinity of v. What's the meaning of this limit?
(b) For fixed t, use L'Hospital's rule to calculate the limit as m approaches infinity of v. What can you conclude about the speed of a very heavy falling object?"
Provide complete and step by step solution for the question and show calculations and use formulas.