Question: 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

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.


mg (--ctim)

(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?

mg (--ctim)

Step by Step Solution

3.48 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The speed of a very heavy falling object is approximately pro... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

M-C-D (375).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!