When a projectile is fired from the ground, it follows a parabolic path because the force of gravity acts on it, causing it to accelerate downward. At the top of the projectile's path, its vertical velocity becomes zero, while the horizontal velocity remains constant. At this point, the speed of the projectile is minimum because it is only moving horizontally and has no vertical component of velocity.

As the projectile continues to fall, its speed increases because of the acceleration due to gravity. When the projectile reaches the ground, its speed will be at a maximum, assuming there is no air resistance.

Therefore, the statement that the speed of the projectile is minimum at the top of its path is true.