At what angle does a cannon shoot the farthest?

45-degree
The cannonball launched at a 45-degree angle had the greatest range. The cannonball launched at a 60-degree angle had the highest peak height before falling. The cannonball launched at the 30-degree angle reached the ground first.

At what angle must a cannon be fired to achieve half its maximum range?

The textbooks say that the maximum range for projectile motion (with no air resistance) is 45 degrees.

At which angle should the cannon be fired?

What angle must a cannon be fired to achieve maximum range? – Quora. The Physics 100 answer is 45 degrees, because air resistance is ignored.

Why is 45 the longest range?

The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range punts 2θ = 90 degrees and, therefore, θ = 45 degrees. A projectile, in other words, travels the farthest when it is launched at an angle of 45 degrees.

What is the maximum firing angle for maximum range?

And the appropriate angle for maximum range was not 45 degrees. I can’t remember what now — it might have been 50 degrees or something like that. If you are not considering air resistance, the maximum range will be achieved from a firing angle (canon angle with respect to the horizontal) of 45 degrees.

What is the maximum distance a canon can fire?

2. The horizontal distance the projectile travels is: sin (2a) has a max of 1 when a is equal to 45 degrees. Therefore the farthest a canon can fire (ignoring air resistance) is when a is 45 degrees. because to achieve maximum range you have to have maximum horizontal velocity and maximum projectile time possible

What angle do cannonballs hit the ground?

The cannonball launched at a 45-degree angle had the greatest range. The cannonball launched at a 60-degree angle had the highest peak height before falling. The cannonball launched at the 30-degree angle reached the ground first. An analysis of the velocity components for these three projectiles reveals reasons for these observations.

What is the best angle for shooting a gun?

They came up with some very interesting results and discovered (but unable to explain) that for longest range a shallow 27–29 degrees is best. The topic was revisited again in Hatcher’s Notebook, Part II nearly a hundred years later and again for maximum range it was noted that shallower angles will shoot farther than the assumed 45 degree angle.