I found some footage of what seems to be “Bouncing Ball” on Whirlwind I on a stock footage site:
At least, it’s Bouncing Ball and it seems to be from a collection of snippets from a film showing Whirlwind I (in color!), as seen here: https://www.pond5.com/stock-footage/item/156129252-computer-development-development-and-modernization-first-com, one of those videos also explicitly mentions Whirlwind I in the description (“daily routine,” probably footage of a Williams tube memory test): https://www.pond5.com/stock-footage/item/155847153-early-1950s-whirlwind-i-computer-facilities-mit-illustrating
And here’s another part of this film showing photographic hardcopies of Bauncing Ball, a diagram of the underlying equations, and what seems to be a screenshot of the memory contents: https://www.pond5.com/stock-footage/item/155847256-computer-development-development-and-modernization-first-com
I’m not aware of any similar footage.
The entire collection can be found at https://www.pond5.com/artist/vintagestocker#1 and the search term “computer development”.