Final answer:
The maximum glide slope angle is 45° when neglecting air resistance and considering a projectile launched on level ground. However, if air resistance is considered, the maximum angle is somewhat smaller. Projectile trajectories with launch angles that sum to 90°, such as 30° and 60°, have the same range.
Step-by-step explanation:
The maximum glide slope angle depends on the conditions, such as neglecting air resistance or considering air resistance. Neglecting air resistance, the maximum glide slope angle is 45°. This means that if a projectile is launched on level ground, the launch angle that maximizes the range of the projectile is 45°. However, if air resistance is considered, the maximum angle is somewhat smaller.
It is interesting to note that the same range is found for two initial launch angles that sum to 90°. For example, a projectile launched with a launch angle of 30° will have the same range as a projectile launched with a launch angle of 60°, but they will have different apex heights.