How does the vertical acceleration at point a compare to the vertical acceleration at point c?

Both accelerations are equal to free-fall acceleration.

Horizontal component

There are no forces in the horizontal direction, so there is no horizontal acceleration, i.e., a = 0 m/s². This means the horizontal velocity must be constant along the track.

Vertical component

There is naturally a constant vertical force acting down, so there is a constant vertical acceleration. The value of vertical acceleration is similar to gravity (g).

See the attachment for the motion diagram.

Therefore the vertical acceleration at point A and point B is the same as free-fall acceleration.

Keywords: the motion diagram, showing the trajectory, projectile motion, parabola, horizontal, vertical component, gravity, how does the vertical acceleration at point A, compare, point C, equal to free-fall acceleration

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if they have a finite resultant