Is Gravity Impacting Projectile Range Beyond Air Resistance Effects?

[Amateur999]

TL;DR

Drag and projectile motion

Calculated maximum range of arrow at 45 degrees with initial velocity measured horizontally is of course reduced by air resistance. BUT initial velocity at 45 is reduced because propulsive force is constant and gravity reduces velocity by about 3m/sec. So not all distance loss is drag. Authors attibute all loss to drag so i need authorative confirmation of this extra factor.

 

[Nugatory]

BUT initial velocity at 45 is reduced because propulsive force is constant and gravity reduces velocity by about 3m/sec.

The loss of speed as the arrow climbs is made up for by the gain as it descends and gravity is helping.

 

[Lnewqban]

BUT initial velocity at 45 is reduced because propulsive force is constant and gravity reduces velocity by about 3m/sec.

Welcome!
Could you explain that part?