When a projectile is shot at ground level the range formula is this...
d = (v2/g) * sin 2*theta
d=range
v=velocity
g=speed of gravity
sin= sine function
theta=angle that you make when the projectile is shot
In your question you are asking about theta. The maximum distance you will get is when theta is 45 degrees. This is because of gravity. Gravity is pulling down on the object. When something is shot above 45 degrees gravity pull down on the object the same way as it pulls down on the corresponding angle below 45 degrees. When I say corresponding angle look below. Basically the answer to your question is because of gravity.
Corresponding angles...
44 and 46
50 and 40
10 and 80
15 and 75
89 and 1
30 and 60
90 and 0
If you notice they all add up to 90 degrees. 90 degrees is the highest angle that can be shot. If it is greater than 90 degrees then the projectile will go behind you.
because 30 and 60 makes 90
The interior angles can have any value in the range (0, 360) except 180 degrees and the same for the exterior angles. The only constraint is that the sum of the exterior angles is 360 degrees.
Congruent angles (or equivalent angles) have the same angle measure.
they are the opposite of same side interior angles
Angles are equal or congruent to each other when the measurements of the angles are the same.
scalene
It is a case of Trigonometry/Geometry. The two triangles formed by the angles and sides of artillery aiming are "Similar" (not congruent) since two angles and a side (base) are Similar. Because the Range of the projectile is 2x the base (which is congruent) of the triangles, the range MUST be the same.
If the question is in the context of the flight of a projectile, the answer is none.
If "range" means that the shooter and the target are on the same level: quadrupled (if airesistance can be neglected). It takes twice the time until gravity "eats up" vertical velocity and during that time the projectile moves with double horisontal velocity. But if you shoot horisontally from a cliff at double velocity the flighttime will be the same and the range only doubled.
At a certain angle - 45 degrees if the starting point and end point are at the same level, and air resistance can be ignored - and at a certain speed, the range is maximum. Both for lower and for higher angles, you get a lower range.
They are dimensionally similar, but they are not exactly the same. There are differences in projectile grains and neck angles - the latter can cause improper headspacing if used in a chamber not intended for that cartridge.
No. The range of the projectile thrown at 90 degrees is 0. It goes straight up and then straight down!
because 30 and 60 makes 90
they have the same velocity. if it is aimed high and aimed straight then they could reach the same point if it has the same velocity
It could have:no angles the same ortwo angles the same ortwo pairs of angles which are the same.
Energy. Two objects with the same momentum can have different kinetic energy. Example - A 1 oz projectile at 1000 ft/s and a 10 oz projectile at 100 ft/s have the same momentum. The lighter projectile has 10 times as much kinetic energy as the heavy projectile. Example - A 1 oz projectile at 1000 ft/s and a 100 oz projectile at 100 ft/s have the same kinetic energy. The heavier projectile has 10 times as much momentum as the lighter projectile. Momentum = m*v. Energy = (m*v*v)/2.
Angles that have the same measure are called congruent angles.