Final answer:
The horizontal component of a projectile's acceleration in the absence of air resistance is 0 m/s², because no forces act horizontally after launch.
Step-by-step explanation:
The horizontal component of a projectile's acceleration is 0 m/s² when air resistance is neglected. This is because after the initial launch, only gravity acts on the projectile, which affects the vertical motion. There is no force acting in the horizontal direction after the projectile leaves the launcher, thus there is no horizontal acceleration.