Paintball Ballistics Velocity Equations

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Paintball Ballistics Velocity Equations

Postby mpkscience » Mon Jan 21, 2013 12:51 pm

I have completed the experiment of measuring velocity of a paintball.
I added a horizontal trial where I shot the paintball parallel to the earth, zero degrees. I am unsure what velocity equation to use as the 90 deg and 45 deg velocity equations changed.
90 deg: V=1/2gt
45 deg: V=.71gt
Any help with 0 deg equation would be appreciated.
mpkscience
 
Posts: 2
Joined: Mon Jan 21, 2013 12:17 pm
Occupation: student 11th grade
Project Question: Paintball ballistics
We tested horizontal firing (zero degree) and cannot find a velocity equation to use to calculate the velocity. We used V=1/2gt for 90 deg and V=.71gt for 45 deg.
Project Due Date: Wednesday January 23, 2013
Project Status: I am finished with my experiment and analyzing the data

Re: Paintball Ballistics Velocity Equations

Postby wendellwiggins » Tue Jan 22, 2013 8:00 am

Hello mpkscience,

All the formulas assume that the paintball is fired from ground level. If the gun is fired horizontally at ground level, then the paintball is on the ground as soon as it leaves the barrel.

If you want to fire the paintball horizontally at some height, say H, then the time to hit the ground and distance traveled before hitting the ground is as follows.

Time to hit the ground is determined by H = 1/2 gt^2 (t squared).

Distance traveled D = Vt.

Combining the equations gives t = sqrt(2 H/g) and D = V sqrt(2H/g). (Be sure to check my algebra!).

Good luck, WW
wendellwiggins
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Re: Paintball Ballistics Velocity Equations

Postby mpkscience » Tue Jan 22, 2013 7:58 pm

Thank you WW. I knew I was missing something in my thought process....it was the height from the ground :D

MPK
mpkscience
 
Posts: 2
Joined: Mon Jan 21, 2013 12:17 pm
Occupation: student 11th grade
Project Question: Paintball ballistics
We tested horizontal firing (zero degree) and cannot find a velocity equation to use to calculate the velocity. We used V=1/2gt for 90 deg and V=.71gt for 45 deg.
Project Due Date: Wednesday January 23, 2013
Project Status: I am finished with my experiment and analyzing the data


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