The angle that gives you the longest range for a projectile launched without air resistance is 45 degrees. This is because at this angle, the initial velocity is optimally divided between the horizontal and vertical components, maximizing the horizontal distance traveled.
When considering air resistance, the optimal angle for maximum range typically decreases from 45 degrees due to the increased effect of drag on the projectile's flight. Factors like the speed of the projectile, shape, and mass also influence the best angle. While the exact angle can vary depending on these conditions, it often falls in the range of 35 degrees to 40 degrees in practical scenarios with air resistance.
So, the best answer without air resistance is 45 degrees, and with air resistance, the angle is likely less than 45 degrees, making it not as straightforward as the idealized scenario.