Friday
November 28, 2014

Homework Help: calculus help check and help

Posted by JuYoung on Wednesday, April 16, 2014 at 5:01pm.

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 describing air resistance.

a) calculate lim t->infinity (v.
answer: mg/c

----->what is the meaning of this limit


1)it is the time it takes the object to reach its maximum speed.

2)it is the speed the object approaches as time goes on.

3)it is the time it takes for the object to stop.


b) for fixed t us l'hospital's rule to calculate lim c->0^+ (v).

answer : tg


----->what can you conclude about the velocity of a falling object in a vacuum.


1)the velocity of a falling object in a vacuum is directly proportional to the amount of time it falls.

2)the heavier the object is the faster it will fall in a vacuum.

3)an object falling in a vaccuum will accelerate at a slower rate than an object not in a vacuum.

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

physics - You are told that the linear "drag coefficient" due to air resistance ...
Calculus - An object at rest begins moving horizontally on the x-axis, starting ...
Math/ Calculus Please HELP!!! - An object at rest begins moving horizontally on ...
Math - An object at rest begins moving horizontally on the x-axis, starting at ...
MATH please help - An object at rest begins moving horizontally on the x-axis, ...
Big MATH Help needed - An object at rest begins moving horizontally on the x-...
Physics - I've tried a bunch, have no idea. Got the first part, no idea on the ...
Physics - 5kg rock is dropped into a well and a splash is heard after 3 seconds...
physics - An object falls from the top of the school, which is 6.06m high. ...
physics - An object of mass 5 kg is dropped from a certain height. Just before ...

Search
Members