This problem has been particularly confusing to me:
"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
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?"
when t approaches to infinity, v=mg/c. This velocity is called terminal velocity which means when air resistance is considered, the ...
The limit of a falling object (with air-resistance) is calculated using L'Hopital's rule.