username5555 about to eat lunch so I'm gonna answer really quickly.
Will be back in a bit though if not solved.
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db.tt/2Wp4cQZX
Didn't have time to sort out speed/ or speed per second per second (acceleration), which is why it gradually gets faster.
Object outside of screen doesn't actually need to be there it turns out, go ahead and delete it(orginally I was going to do MoveToObject type thing.
Tagme if not solved !