If the acceleration vector is constant (meaning the components do not change in time), we can integrate to find the velocity and position as a function of time for x and y independently.
In the following demo, we demonstrate how a projectile motion can be seen as
free fall motion in the y direction (
Again to reiterate, the yellow ball in the image below is doing a 1 dimensional free fall motion in the y direction (like the red ball) together with a uniform constant velocity motion in the x direction.