The projectile problem involves calculating various parameters for a projectile launched at an initial velocity of 49 m/s at an angle of 76 degrees, neglecting air resistance. The range of the projectile is determined to be 115.020 meters, with a total flight time of 9.70295 seconds. The time at which the projectile is farthest from the launch point is calculated to be 5.55736 seconds, resulting in a maximum distance of 130.705 meters from the launch point. The critical angle, which determines when the projectile is always moving away from the launch point, is found to be approximately 71.4856 degrees. The discussion highlights the importance of using correct equations and understanding the relationship between height and distance in projectile motion.
