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Definition of a Projectile:
A projectile is an object for which the only force acting upon it is gravity. The force of air resistance is negligibly small or nonexistent for a projectile.
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Acceleration, Changing Velocity and Net Force
An accelerating object is an object that is changing its velocity - either slowing down, speeding up or changing directions. When focusing on one dimension of an object's motion (the horizontal dimension in this question), an acceleration in that direction will be the result of slowing down or speeding up.
Accelerations are caused by an unbalanced or net force. If the individual forces in a given direction balance, then there is no acceleration in that direction. If the individual forces are unbalanced, then there is an acceleration in that direction.
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