Timeline for Rapid-fire projectile motion such that all particles land at the same time
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2020 at 22:10 | comment | added | DJohnM | BTW Time On Target en.wikipedia.org/wiki/Time_On_Target is a real thing for both multiple guns and multiple shots from one gun. Nice graphic on Wikipedia | |
| Jul 22, 2020 at 20:19 | answer | added | user65081 | timeline score: 1 | |
| Jul 22, 2020 at 19:51 | answer | added | Eli | timeline score: 1 | |
| Jul 22, 2020 at 14:48 | answer | added | Nick_2440 | timeline score: 1 | |
| Jul 22, 2020 at 13:41 | history | edited | Nick_2440 | CC BY-SA 4.0 |
added link
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| Jul 22, 2020 at 13:26 | comment | added | Nick_2440 | That would be a very large polynomial. I'm looking for something else, probably involving trigonometric functions of $ t $. | |
| Jul 22, 2020 at 13:24 | comment | added | Solomon Slow | OK, but again, worst case, you can fit a polynomial of order N to N data points. If the gun is theoretical, then you can choose any N you like. | |
| Jul 22, 2020 at 13:23 | comment | added | Nick_2440 | Since asking the question I have made some progress, being able to form a differential equation for $ \alpha(t) $ but some graphing of the results shows it doesn't work. Would it help if I post what I have so far? | |
| Jul 22, 2020 at 13:22 | comment | added | Nick_2440 | This is a theoretical gun and so I imagine it firing a huge number (approaching infinity) of bullets with no time difference between them. This gives a continuous stream of bullets. | |
| Jul 22, 2020 at 13:20 | comment | added | Solomon Slow | The gun will fire a small, whole number of bullets during that one second. You can calculate the time when the first bullet hits the Earth. Then for each next bullet/each later starting time $t$, work backward to find the necessary angle, $\theta{}(t)$, to make the bullet land simultaneously with the others. Now you have a table of values of $\theta{}(t)$ for some ten or twenty $t$. You should be able to fit a continuous function to those values. Worst case: you can always fit a polynomial whose order is the same as the number of rows in your table. | |
| Jul 22, 2020 at 13:15 | comment | added | Solomon Slow | Re, "...or even if it is possible..." should be obvious that it is possible. The time for a bullet to return to the ground will depend only on the vertical component of its initial velocity, and you reduce that vertical component when you reduce the angle of the gun. | |
| Jul 22, 2020 at 12:52 | history | asked | Nick_2440 | CC BY-SA 4.0 |