Nevermind, I just realized that I could calculate the whole thing via gravitational potential energy and hilariously enough the figure came out as higher than the speed of the ship itself...
Thanks anyway! ^_^
I don't know how long it took the ship to accelerate since the scene skips to the slingshot.
All I know is the distance traveled (from a starting distance of 1400km to a distance of slightly over 239.6km), the velocity of the ship as it reached the closer radius, the fact that the ship wasn't...
Trying to make a calculation and I ran into the following diff equation:
r''=a+b/r^2
And I can't seem to remember how one would go about solving it.
b = 1355041.84
r(0) = 1400
r(t) = 239.6
r'(o) = 0
r'(t) = 75.2
a = ?
I'm specifically looking to find the value of the constant a...
Thanks!
I've been trying to get a solution out of Wolfarm and it directed me towards Mathematica. I got the trial version and I can't seem to get it to work (not surprising, given I've never used it before and I kind of went into the deep end with this one...).
This is the equation I want it...
Damn, almost forgot!
Here's the equation I ended up with that Wolfarm couldn't solve (at least not on trial version computing time limits):
y''=((A*(e^(-B*y)))*(C-x*y'')^2)-g
x being time, y being distance, A being...
Thanks!
Basically it's an 8mm depleted uranium spike who's mass is somewhere between 35.5 to 50.8 grams fired directly upwards and hitting a target that's 10 leagues (55.56km) up above the shooter. The incident accrued on a settled desert planet with breathable atmosphere and no mention of...
Does anyone know how I can calculate the minimal initial velocity required to get to a certain altitude for a given object?
I'm assuming an earthlike planet and a streamlined projectile with a maximum diameter of 8mm and a mass of roughly 40 grams and want it to reach an altitude of 55560...
It is meant to be fired by men in powered armor and there's probably inertial dampening involved (the C-14 rather blatantly delivers more impulse to the target than recoil to the shooter- there are cases where one marine "held down" another by shooting at him full auto, causing the impact force...
Another book has marines hold fire until the Zerglings were a km away to make every shot count and when they opened fire the first person perspective of one of them described the targeting system as "eerily effective" as he rapidly switched targets between skittering zerglings.
The end result is probably going to be ridiculously high anyway so the minimal initial velocity required to reach the target would do.
Problem is, I haven't learned how to solve equations where the variable is dependent on itself yet so I can't solve the problem at hand...
I've been debating various Sci-Fi vs debates for a while now and I've decided to try and figure out how powerful the C-14 Gauss assault rifle from StarCraft needs to be in order to achieve the following feat:
A league is 5.556km, so halfway up a 20 league vortex would be 55.56km from the...