Purchase Solution

Calculate the limit of a falling object (with air-resistance) using L'Hopital's rule.

Not what you're looking for?

Ask Custom Question

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?"

Purchase this Solution

Solution Summary

The limit of a falling object (with air-resistance) is calculated using L'Hopital's rule.

Solution Preview

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
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.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Probability Quiz

Some questions on probability

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts