Recent content by Blixt

Hm, just a question out of curiosity... How would that work with the "calculating of appropriate integrals"? Sounds like we're entering a territory completely alien to me, but I'm still curious... It wouldn't work in this case though, I guess, since the acceleration vector is only constant in...

Ah, I see. I'll do that then! Thanks so much for putting up with me, all of you guys! =)

Ah yeah I didn't think about that. With "magnitude of velocity", what I really meant was "speed". So the scalar change of position over 1 unit of time would not be allowed to exceed 100. But these kind of special rules don't belong in maths I guess, so I'll just use a step-by-step method and run...

Ah, but consider it again. Velocity is (100, 0) and acceleration is (0, -100). Max velocity is 100. Now I calculate the time the velocity reaches 100, which gives me t=0. So now I use the first formula from time 0 to 0 (i.e., it won't affect the end result), then I apply the second formula for...

Yup, I saw that one coming (which is why I defined my imaginary ship in my first post to have a constant mass =) Anyways, to get back to the question in this thread: Is there a way to make the same formula we have now to calculate velocity and position for any time, but with the addition of...

I see. What if this was a "real" situation where we had a spaceship with some kind of propulsion method that could output a force for a very long period of time. Would the acceleration of the ship stay relatively constant? Just curious =) In most space movies, spaceships going on "full thrust"...

Hmmm... What if the max velocity magnitude is 100, and the initial velocity is (100, 0), and the acceleration (0, -100)? It'll be at max velocity already at t=0.0, but I want the path to curve until the velocity eventually (at infinity, I guess, if dealing with exact numbers) reaches (0, -100)...

I made a test case to get a more visual look on the whole thing. It looks like this: http://blixt.org/js/extrapolate.html My step-by-step method appears to differ slightly from the formula. I'm not sure why, any ideas? The difference is too great to be floating point inaccuracy. I'm using the...

See, now you lost me a bit =) I quit school for work at the age of 15 and never got around to learning calculus. Being a web developer I've never come across the need for calculus, and therefore I quite frankly suck at it. So would you mind explaining the formulas in less LaTeX-ish forms? =)...

Yeah, I've implemented Verlet into my projects many times (see http://blixt.org/js for a web browser demonstration =) The problem I'm describing is very easy to solve with any step-by-step solution: step: velocity = velocity + acceleration position = position + velocity repeat...

Hi there! I'm working (programming) on a little project where I want to be able to get the position of an object at any point in time assuming its acceleration doesn't change. The object has an initial position and velocity. It's very easy to extrapolate the position after x time given a...