Math people...
Math people...
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.
P.S. Props goes out to DooMer for hooking my account back up.
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Re: Math people...
Ignoring air resistance?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.
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Re: Math people...
the answer is 4...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.
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Re: Math people...
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..tnf wrote:Ignoring air resistance?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.
Thinking about it you'd definatly need the mass, also the initial acceleration of the object...possibly

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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".
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".
Last edited by [xeno]Julios on Sun Apr 03, 2005 9:13 am, edited 1 time in total.
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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.
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.
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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...
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...
Last edited by [xeno]Julios on Sun Apr 03, 2005 3:01 am, edited 1 time in total.
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