Pete

I know the Earth's escape velocity and I can calculate the acceleration due to gravity at any height above the Earth. Now, I would like to graph the position, velocity, and acceleration of a launched object over time.

I could use standard equations to find the height of the object after a certain amount of time, but my problem is different, because the acceleration due to gravity decreases as the height increases.

I would really like to know if there is a way to take into account the change in gravity when making a position-time graph, no matter what the initial velocity is.

I don't think I made this up, but I couldn't find the exact wording or the author online. Does anyone know of a quote like this?

"Trust the man who searches for answers, not the man who claims to have them."

I don't know the exact wording and I couldn't find the quote online.

I would like to save a Java game from a website to my local machine.

I'm looking for the video where Jim sends a fax to Dwight from himself from the future. I would like a higher quality video than the ones on Youtube.

I read here http://uvaapplication.blogspot.com/ that the deadline was extended to Friday due to the national day of mourning today (January 2). Can anyone confirm this?

I'm looking for a video of a fiery explosion against a black background, preferably 640x480 or bigger. But I don't want to spend any money.

It's a piecewise polynomial function:

f(x) = x^2 + 1 if x <= 1 and

f(x) = 2x if x > 1

It's a parabola that turns into a line. It doesn't have any gaps or corners. The limit of f(x) as x approaches 1 is 2, and the limit of f'(x) as x approaches 1 is 2.

This was a problem on a test, but I my calculus teacher took points off because she says that the function is not differentiable at x = 1. I need to formally prove that this function is differentiable at x = 1, so I can get those points back.

Thanks in advance!

Here's a specific example:

f(x) = x^2 if x <= 1 and

f(x) = 2x if x > 1

It's a parabola that turns into a line. It doesn't have any gaps or visible corners. The limit of f(x) as x approaches 1 is 2, and the limit of f'(x) as x approaches 1 is 2. But my calculus teacher says there's a corner at x = 1, and that piecewise polynomials always form a corner.

Is there a specific process to do this?

I uploaded this video today, but when I watch it, it stops playing before the end, at 35 out of 37 seconds. So the share and replay buttons and the related videos don't pop up. Does this happen when you watch it on your computer? Here's the video:

http://www.youtube.com/watch?v=oIM-Szn83yU

Thanks.

I don't really want to delete my video and then repost it, because it will lose it's stats, but I need replace it because the sound is out of sync.

http://www.youtube.com/watch?v=QAx9ZoPEL78

Did you notice anything wrong with the sound?

Here it is:

http://www.youtube.com/watch?v=QAx9ZoPEL78

When I change my video's category (comedy, arts and animation, television, etc.) will my video's view count, ratings, and comments be deleted? Thanks in advance.

I want more people to see it.

I just signed up for YouTube, got the confirmation email, clicked the link in the email, and it just took me to the login screen. There, I type in my username and password, but it says that that username doesn't exist. I try to sign up again and it says that that username is taken! I can't get in!

I did log out of youtube before I opened the confirmation email, and this could have messed it up, but there has to be a way to log in anyway, right? I don;t want to have to make another account.

After doing some research, I am almost certain that I have dry-socket where my wisdom tooth was removed a week ago. I will visit to the oral surgeon tomorrow, but I'd like to know now whether there will be any lasting/permanent effects from dry-socket and not treating it sooner.

I had 4 wisdom teeth removed a week ago and I've had a headache ever since.