<p>Hey guys, I'm making a math problem for my calculus in highschool and my problem is going to invole how long it takes for a rocket to get to the exosphere. It does not have to be perfect by any means but I want it to be as real as possible. The thing I'm having trouble with is how to measure speed with acceleration or a non constant speed. Could anybody help me with this and give me an excample? Also I am having trouble with the rocket loseing fuel and how that affects its mass. I need help finding a way measure the constant loseing of fuel which is a lot of weigh for a rocket. Any response is helpful. Thanks in advance guys.</p>
<p>And oh I just remembered I don’t know really how to judge how the different parts of the atmosphere will affect the rocket in speed. Any help on this would be very useful too.</p>
<p>Well once you introduce the mass that’s lost, the problem is probably more complicated than what you’re supposed to make… I did a problem similar to this in fluids. And it would be even more complicated once you factor in different parts of the atmosphere. But here is the link problem I had. If it asks for user name/password they are me151 and fluids (not sure if I’m supposed to give that out). And the problem ignores drag.</p>
<p><a href=“http://engineering.ucsb.edu/~rkrechet/PDFs/Courses/ME152A/solutions/mt2ans.pdf[/url]”>http://engineering.ucsb.edu/~rkrechet/PDFs/Courses/ME152A/solutions/mt2ans.pdf</a></p>
<p>If you want to ignore the mass that is lost, a more simple way would be to just do net force = ma, solve for the acceleration, and integrate to get the height.</p>
<p>oh man oh man</p>
<p>the stuff from ME151 which i’ve just looked up [UCSB</a> > ME 151 > Hw7 (2009 06 05 23:22:45)](<a href=“http://www.coursehero.com/file/4035322/Hw7/]UCSB”>http://www.coursehero.com/file/4035322/Hw7/)</p>
<p>is what i learned in 4th year heat transfer…how depressing.</p>
<p>…at least i have a job.</p>
<p>norris212, it wouldn’t let me open the link for some reason on my computer :(. Would you care to show me a basic problem with acceleration though and how that works? If you can that would be much apperciated</p>
<p>I’m not sure if this is what you’re looking for, but here is a really basic problem…</p>
<p>Say you have: a = 3. You can integrate that with respect to time to get velocity: v = 3t + V0, where t is time and V0 is the starting velocity. You can then integrate again to get position: X = 3/2t^2 +V0t + X0 where X0 is the initial starting point. So basically you start with acceleration and integrate twice to get position.</p>
<p>just like norris said, if you have acceleration you can get both velocity and position. you said that you were having trouble finding speed when you have acceleration. if you have the acceleration (let’s use norris’s example of 3), to find the speed at that point you would integrate (take the antiderivitave) and plug in 3.
unless that’s not what you were asking…haha</p>
<p>You have to use the definition of force = dp/dt because mass changes too. There’s some more specific equation but I forgot what it was.</p>
<p>How about the 2nd problem here?</p>
<p><a href=“http://mathpost.asu.edu/~zinzer/6.1_Apps.pdf[/url]”>http://mathpost.asu.edu/~zinzer/6.1_Apps.pdf</a></p>
<p>Ha! That’s crazy, the velocity function that my link solved for was the exact same velocity function that’s given in your link. Soccer55, if you combine the two, you will have a great problem.</p>
<p>Oh I see what you mean now lol I still don’t have a clue about the atmospheres though :(</p>
<p>I wouldn’t worry about the atmosphere part, that’s too complicated, especially when you have a pretty advanced problem already.</p>
<p>Okay I won’t worry about it. Thanks for helping me :)</p>