MHB Max distance when an angle for a projectile is pi/4 neglecting air resistance

AI Thread Summary
The angle of \(\frac{\pi}{4}\) is known to maximize projectile distance when air resistance is neglected. However, when air resistance is considered, this optimal angle may change, resulting in a shorter travel distance. The impact of drag on projectile motion suggests that the ideal launch angle varies based on specific conditions. An article linked in the discussion explores how different drag scenarios affect the optimal launch angle. Understanding these dynamics is crucial for accurate projectile distance predictions in real-world applications.
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We know that the angle of \(\frac{\pi}{4}\) causes a projectile to travel its max distance when air resistance is neglected.

When we consider air resistance is the \(\frac{\pi}{4}\) still the angle that produces the max distance? With air resistance, the projectile with of course travel less than the distance without air resistance though.
 
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