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For projectiles, 45° is only necessarily the optimal launch angle if ALL of the following apply - otherwise you have to consider specific cases of the eqns:

- the elevation of launch and landing are both equal => s_y(0) = s_y(t1) (usually taken as reference 0, but it's irrelevant)

- there are no obstacles to be cleared along the trajectory
(i.e. elevation of the terrain s_y(x) <= 0)

- there is no (or negligible) wind or resistance force (e.g. air resistance) => a_x = 0, a_y = -mg

- there is both correct rifling and the bullet is balanced, so that the projectile does not exhibit precession and yaw off at unreliable angles. (http://en.wikipedia.org/wiki/Rifling)
For a gun, the bullet fits the barrel, the grooves are correctly machined to match it, and the exhaust gases are symmetric (may depend on venting).

- For a weapon, the shooter did not move while shooting.
Not sure if the terrain affects whether recoil forces work.

How many more valid reasons can you suggest?

2007-06-30 13:44:31 · 3 answers · asked by smci 7 in Sports Outdoor Recreation Hunting

(Sorry for not clarifying 'optimal', the browser has been crashing on me for last 2 hrs.)

45° is only the optimal launch angle to maximize range at the expense of everything else (e.g. accuracy, impact velocity i.e. deadliness).
Obvously if you shoot a gun at 45° you will have little accuracy and the bullet will definitely precess.

I should have said there are (at least) two modes of launching a projectile:

- short-range, where we maximize accuracy and impact speed e.g. guns, rifles

- ballistic: long-range artillery, trebuchets

2007-06-30 17:06:44 · update #1

3 answers

45 may not be a correct launch angle depending on terrain. if your using a short range round like a mortar you may want to use even more elevation to get over hills, building trees and have the projectile straight down. To be honest its something inever really considered

2007-06-30 13:54:04 · answer #1 · answered by cndtroops1 3 · 1 0

Optimal launch angle to achieve what end? Maximum distance travelled before impact or to strike a particular target at some shorter range?

2007-06-30 15:31:30 · answer #2 · answered by gunplumber_462 7 · 1 0

Have you ever seen all the data need to fire a cannon at a known target. There cant be an optimal launch angel for all circumstances, impossible.

2007-06-30 13:53:01 · answer #3 · answered by Anonymous · 1 0

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