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Mach n Projectile Coordinates

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I. Mach Projectile Solver

 

Find the source and destination of a supersonic projectile using 3 microphones.

 

The projectile sweeps out a shock wave in the shape of a cone and intercepts the microphones. From the arrival time differences between the microphones, the solution is found.

http://www.geocities.com/jongiff2000/Mach_Projectile_Solver.xls

 

II. Triangulation Solver

 

Find where 3 sticks of known length meet to form an irregular pyramid, given the coordinates of their bases.

http://www.geocities.com/jongiff2000/Triangulation_Solver.xls

 

III. Nested Parabolas, Surface Area of a Sphere and other solutions

http://mypeoplepc.com/members/jon8338/math/

 

These are zipped Excel 97 files.

Mach.zip

 

Triangle.zip

I've moved this post to Homework, since it sure seems like a Homework problem.

 

And, as such, the forum doesn't do people's homework for them. We will help you with concepts, we will help point out mistakes when we see them, we will help guide in the right direction and give suggestions. But, we don't just post answers and do the work for others.

 

So, in that vein. What ideas do you have to solve this? What equations do you think are pertinent? What work have you done so far?

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