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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.

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Q: Why there are two possiles angles for the same range of projectile?
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Related questions

What are the angles for which the range of projectile is the same?

For a projectile launched at an angle θ, the range is the same for angles of θ and (90-θ) degrees. This is because the horizontal and vertical components of the initial velocity are the same for these angles, resulting in the same horizontal range.


Why do complementary angles of launch result in the same projectile range?

Complementary angles refer to angles that add up to 90 degrees. When launching a projectile at complementary angles, the vertical components of the velocities cancel out, resulting in the same range for the projectile regardless of the angle of launch. This is because the horizontal component of the velocity, which determines the range, is the same for both angles.


Which two angles gives the same range as 45 degrees?

If the question is in the context of the flight of a projectile, the answer is none.


Why can two different angles lead to the same range?

Two different angles can lead to the same range because the same horizontal distance can be covered by projectiles launched at different launch angles. The range of a projectile is influenced by both its initial velocity and the launch angle. When two different launch angles result in the same horizontal distance traveled, it means that despite the difference in trajectory, the vertical and horizontal components of the motion combine in such a way that the projectile lands at the same distance.


How does the launch angle relate to the initial speed of the projectile?

The launch angle and initial speed of a projectile are both factors that determine the range and height of the projectile. A higher launch angle with the same initial speed will typically result in a longer range but lower maximum height. Conversely, a lower launch angle with the same initial speed will result in a shorter range but a higher maximum height.


What is the horizontal range of a projectile initial velocity is doubled?

If the initial velocity of a projectile is doubled, the horizontal range will also double. This is because the horizontal distance traveled by a projectile is directly proportional to the square of its initial velocity.


What other angle of launch at the same speed would a projectile land just as far away?

For a projectile launched at a certain speed, an angle of launch that is complementary to the original angle (i.e., the sum of the two angles is 90 degrees) would result in the projectile landing at the same distance. This is due to the symmetrical nature of the projectile's trajectory in a vacuum without air resistance.


A projectile upward at an angle of 75degree from the horizontal and strikes the ground a certain distance down range.For what other angle of launch ath the same speed wouldthis projectile land just a?

For the projectile to land at the same distance with the same initial speed, it must be launched at an angle of 15 degrees from the horizontal. This is because the range of a projectile is maximized when launched at a 45-degree angle. So, launching at 15 degrees in the opposite direction of 75 degrees should bring the projectile to the same landing point.


Why there are two possible angles of projection for same range with same velocity of projection?

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.


Are the 308 Winchester and the 7.62x51NATO rounds the same?

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.


Why the projectiles thrown with angle 30 degree and 90 degree have the same range?

No. The range of the projectile thrown at 90 degrees is 0. It goes straight up and then straight down!


Why angles of 30 and 60 degrees have same range?

because 30 and 60 makes 90