Calculate the limit of a falling object (with air-resistance) using L'Hopital's rule.
Not what you're looking for?
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
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?"
Purchase this Solution
Solution Summary
The limit of a falling object (with air-resistance) is calculated using L'Hopital's rule.
Solution Preview
(a)
v=[(mg)/(c)][1-e^([-ct]/m)]
when t approaches to infinity, v=mg/c. This velocity is called terminal velocity which means when air resistance is considered, the ...
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.