From the Super Mario Wiki, the Mario encyclopedia
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The Ball Hop is an overworld Bros. Move in Mario & Luigi: Dream Team. The move is taught to Mario and Luigi by Big Massif and Lil' Massif on their second visit to Mount Pajamaja. It can be seen as the spiritual successor to the High Jump and Bros. Ball moves from Mario & Luigi: Superstar Saga (and its 3DS remake) and Mario & Luigi: Partners in Time respectively.
This move is executed when in front of a high ledge which is too high for the Bros. to reach. Mario and Luigi will jump into a ball, which will endlessly move until the player presses or again. The jumps that the ball make are higher so the Bros. can reach higher places. It is also used for Ring Puzzles, where Mario and Luigi must jump through rings in ball form without touching the same space again.
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