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Math people...

Posted: Sun Apr 03, 2005 12:24 am
by xer0s
Ok, lets say I have this thing that shoots stuff. Now, lets say this thing shoots an object 970 yards, and is shot at a 60 degree angle. Is it possible to figure how high the object went when it was shot? And if not, what other factors would need to be known to figure this out?

P.S. Props goes out to DooMer for hooking my account back up.

Posted: Sun Apr 03, 2005 12:26 am
by phantasmagoria
i think you need to know the force behind the object when it's fired.

Posted: Sun Apr 03, 2005 1:15 am
by Arkleseizure
I think your variable is how much force was behind the object. Also, the mass deals with the equation.

Posted: Sun Apr 03, 2005 1:20 am
by stocktroll
uh, dont you mean "physics" people?

Posted: Sun Apr 03, 2005 1:21 am
by losCHUNK
and how high you was when you was jacking off ?

Re: Math people...

Posted: Sun Apr 03, 2005 1:24 am
by tnf
xer0s wrote:Ok, lets say I have this thing that shoots stuff. Now, lets say this thing shoots an object 970 yards, and is shot at a 60 degree angle. Is it possible to figure how high the object went when it was shot? And if not, what other factors would need to be known to figure this out?

P.S. Props goes out to DooMer for hooking my account back up.
Ignoring air resistance?

Re: Math people...

Posted: Sun Apr 03, 2005 1:34 am
by Freakaloin
xer0s wrote:Ok, lets say I have this thing that shoots stuff. Now, lets say this thing shoots an object 970 yards, and is shot at a 60 degree angle. Is it possible to figure how high the object went when it was shot? And if not, what other factors would need to be known to figure this out?

P.S. Props goes out to DooMer for hooking my account back up.
the answer is 4...

Re: Math people...

Posted: Sun Apr 03, 2005 1:54 am
by phantasmagoria
tnf wrote:
xer0s wrote:Ok, lets say I have this thing that shoots stuff. Now, lets say this thing shoots an object 970 yards, and is shot at a 60 degree angle. Is it possible to figure how high the object went when it was shot? And if not, what other factors would need to be known to figure this out?

P.S. Props goes out to DooMer for hooking my account back up.
Ignoring air resistance?
wouldn't air resistance be a universal constant and therefore cancel itself out in the vertical and horizontal planes? i haven't done this stuff for years so i'm probably wrong..

Thinking about it you'd definatly need the mass, also the initial acceleration of the object...possibly :paranoid:

Posted: Sun Apr 03, 2005 1:59 am
by [xeno]Julios
since you know the range of the trajectory as well as the angle, you should be able to calculate the max height, since trajectories within an environment of constant gravity have typical shapes.

In other words, there is only one trajectory shape that fits a given angle and range.

The key is to quantify a specific feature of this shape: the height of the "rainbow".

Posted: Sun Apr 03, 2005 2:03 am
by Fender
You don't need to know mass or "force" or acceleration. 60 degrees and 970 yards is all you need to know.
start with x = 1/2 * a * t ^ 2

Posted: Sun Apr 03, 2005 2:03 am
by phantasmagoria
is it actually possible to do it that way or are you theorising julious?

Posted: Sun Apr 03, 2005 2:05 am
by Fender
a = 9.8 m/s^2
a = 10.72 y/s^2
Now multiply by sin(60) or cos(60), i forget which and I've had a couple too many beers to bother figuring it out. It is easy, though.

Posted: Sun Apr 03, 2005 2:05 am
by [xeno]Julios
phantasmagoria wrote:is it actually possible to do it that way or are you theorising julious?
theorizing - but i'm pretty confident i'm right

Posted: Sun Apr 03, 2005 2:07 am
by phantasmagoria
fuck of course, i hated equations of constant acceleration; infact i hated all mechanical maths :(

Posted: Sun Apr 03, 2005 2:09 am
by [xeno]Julios
since you don't have time, mass, or force, you're gonna hafta set up some simultaneous equations which cancel out those factors, leaving only angle and range.

Range = distance traveled along x axis, which is total time multiplied by x-velocity

x-velocity is Velocity multiplied by cos theta, so in this case, x-velocity = 1/2 V (since cos 60 = 1/2)

y-velocity is 0 halfway through the trajectory, so you can fumble around with acceleration equations.

There's probably a handy formula that does all this - might be very tricky to derive from first principles.

Posted: Sun Apr 03, 2005 2:11 am
by Fender
again, why do euros say "mathS" vs "math"???

Posted: Sun Apr 03, 2005 2:12 am
by phantasmagoria
because it's the proper way to say it :)

Posted: Sun Apr 03, 2005 2:19 am
by Fender
bah :p

Posted: Sun Apr 03, 2005 2:22 am
by Arkleseizure
Go shit on yourself phantasmagoria.

Posted: Sun Apr 03, 2005 2:27 am
by [xeno]Julios
K i think i mighta got it:

based on this page:

http://hyperphysics.phy-astr.gsu.edu/hb ... 0&h=0#tra5

Range = v times sqrt(2h/g)

and

Height = (v*v*sin theta*sin theta) /2g

i rearranged the equations, plugging in what I knew (range and theta), solved for v squared, and used a simultaneous equation to get this:

4*h*h*g/0.75 = 960*960g



solving for h i get:

415.69 yards

Not sure if this is correct though...

Posted: Sun Apr 03, 2005 2:30 am
by [xeno]Julios
k i checked the answer by calculating range, given the max height, and it worked out.

Posted: Sun Apr 03, 2005 4:07 am
by [xeno]Julios
the more general equation:

max height = sqrt (sin theta * sin theta * range * range / 4)

Posted: Sun Apr 03, 2005 4:14 am
by DRuM
Fender wrote:again, why do euros say "mathS" vs "math"???
maths short for mathematics. Plural because it's to do with numberS. Also because we invented proper english.

Posted: Sun Apr 03, 2005 3:38 pm
by Guest
Don't forget to convert it to fucking meters, for fuck's sakes.

Posted: Sun Apr 03, 2005 3:59 pm
by Pauly
Americans always like to drop letters. Color instead of Colour, Armor instead of Armour.

They are so fucking lazy they can't even say full words. No wonder they're fat bastards, sorry bastads.