This clip by North Carolina School of Science and Mathematics shows the independence of motion along the x and y axes. Gravity acting on the ball and making it slow down on the way up and speed up on the way down has no effect on horizontal motion buff.ly/2x6Mphk
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Similarly if you shoot a bullet from a gun with a flat barrel trajectory and drop another bullet at the same height/time they hit the ground at the same time except for minor earth curvature adjustment.
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So can one takeaway from this is Gravity only affects vertical motion? Interesting.
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Yet physicist will deny its importance here:
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RIP spacetime: September 26, 1905 - March 16, 2021
wrongrelativelyspeaking.wordpress.com/2021/03/18/ste
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The classic "Frames of Reference" film by Hume & Ivey has a nice illustration with a dropping ball (rather than launched up & down) filmed from both lab and cart frames, as well as doing both constant cart velocity and then again with an accelerating cart.