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Re: OT: Looking for a good physics site
Why are you randomly rewriting the equation? The way to solve a quadratic equation has already been posted..
Why are you starting with a complete set of values, including time and distance, that you plug in to verify the refactored equations? Where are they coming from? |
Re: OT: Looking for a good physics site
If you thought that was random, you need to look again. I was de-rusting my algebra skills. I know I wasn't using the method that was posted; that was not the point. I was working off the theory that if 'T' is used to solve the equation, then some permutation of the equation could be used to solve for T.
I did not start with a distance value. I calculated it. I use a complete set of values for the simple reason that I can use them to see if the refactored equation is the correct one. |
Re: OT: Looking for a good physics site
Getting T^3 as the only factor with T out of a quadratic polynomial looks entirely random to me.
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Re: OT: Looking for a good physics site
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Re: OT: Looking for a good physics site
@Fyron: Hence why I need to de-rust my algebra skills. It's the circle of maaaaath...
@Jack: I did try google. More than once. |
Re: OT: Looking for a good physics site
Well, I read it and I get the general idea...
Would these be the equations to use? (After removing the 'Z' terms) <font class="small">Code:</font><hr /><pre>0 = ( (1/4) * (Tax2 + Tay2 + Taz2 - Pam2) ) * t4 + ( Tax * Tvx + Tay * Tvy + Taz * Tvz - Pam * Pvm ) * t3 + ( Tax * Tpx + Tvx2 + Tay * Tpy + Tvy2 + Taz * Tpz + Tvz2 - Pam * Ppm - Pvm2 ) * t2 + ( 2 * ( Tvx * Tpx + Tvy * Tpy + Tvz * Tpz - Pvm * Ppm ) ) * t + ( Tpx2 + Tpy2 + Tpz2 - Ppm2 )</pre><hr /> <font class="small">Code:</font><hr /><pre>P't2 = ( Pam2 * Rbt2 + 2 * Pam * Pvm * Rbt + Pvm2 ) * t2 + ( 2 * Pam * Ppm * (Pam * Rbt + Pvm) - Pam2 * Rbt3 - Pam * Pvm * Rbt2 ) * t + ( (1/4) * Pam2 * Rbt4 - Pam * Ppm * Rbt2 + Ppm2 )</pre><hr /> |
Re: OT: Looking for a good physics site
Yaay, the .dll works! Thank you Jack, thank you Fyron, thank you SJ, thank you everyone else who helped!
(Now, I just have to figure out how to modify the .dll for a matching intercept...) |
Re: OT: Looking for a good physics site
I remember now why I hate math! http://forum.shrapnelgames.com/image...ies/tongue.gif
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Re: OT: Looking for a good physics site
Quote:
T = (-V +/- Sqrt(2AD-2AP+V^2) )/A A = 5 T = 3 P = 50 V = 15 D = 117.5 3=(-15 +/- Sqrt(2x5x117.5 - 2x5x50 + 15^2))/5 3=(-15 +/- Sqrt(1175 - 500 + 225))/5 3=(-15 +/- Sqrt(900))/5 3=( -15 +/- 30 )/5 3=( 15 or -45 )/5 3=( 3 or -9) Also: V = ((D-P)/T) - AT/2 P = D - (T(AT+2V))/2 A = -( (2(-D+P+TV))/T^2 ) -- Mathematica: The new calculator |
Re: OT: Looking for a good physics site
Thanks!
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