Projectiles r = (22sin(x) x 11cos(x))/9.8

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SUMMARY

The optimal angle for firing a projectile to achieve maximum range, assuming no air resistance, is definitively 45 degrees, as derived from the formula r = (22sin(x) x 11cos(x))/9.8. While some argue for 61 degrees, this angle results in a shorter range under the same conditions. When factoring in air resistance, the angle should be lower than 45 degrees to minimize time in the air, although the exact optimal angle can vary based on additional factors such as wind speed and the projectile's aerodynamic properties. Further analysis is necessary to determine the best angle in real-world scenarios.

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Cummings
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Well, its a debate about what's the best angle to fire a projectile to achieve maximum range.

using the formulae i found

r = (22sin(x) x 11cos(x))/9.8
where x is the angle, 45 gets the most range. But some people say 61 degrees is

using that formulae and ignoring air resistance 61 achives less range than 45.

Air resistance changes the range, yes, but it changes it for all angles.

Is 61 somehow the better angle for air resistance?
 
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Assuming no air resistance, the angle for greatest distance is 45 degrees.

Assuming air resistance, the greater the air resistance, the lower you should bring the angle so that the time in the air is minimal.

For air resistance, the angle should be lower than 45 not higher.
 


It is difficult to definitively say whether 61 degrees is a better angle than 45 degrees for air resistance without more information. The formula provided takes into account the effects of air resistance, but it is possible that other factors such as wind speed and direction could also play a role in determining the optimal angle for maximum range. Additionally, the type of projectile being fired and its aerodynamic properties could also impact the ideal angle. Therefore, it is important to consider all variables and conduct further analysis before determining the best angle for a projectile in a given scenario.
 

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