Power Jump

Power Jump is a badge in Paper Mario and Paper Mario: The Thousand-Year Door. In Paper Mario, it is given by Goompa after returning him to Goomba Village, and is used as a tutorial on how to use badges (due to this, it is the only badge that Merluvlee never gives a prediction about). In Paper Mario: The Thousand-Year Door, it can be bought from the Lovely Howz of Badges for fifty coins and from the Pianta Parlor for thirty-four Pianta Tokens, and can be rarely dropped after battle by Goombas, Gloombas, Buzzy Beetles, and Spike Tops. If Mario equips the badge, he is able to use the Power Jump move, which is a jump attack that costs two FP. The move is a single attack that, when its action command is timed correctly, deals double the damage of a regular jump to a single enemy.

Attack Power
In Paper Mario, the attack power for a Power Jump goes up by two. In other words, the attack point is:
 * Boots: 3 (untimed), 4 (timed)
 * Super Boots: 4 (untimed), 6 (timed)
 * Ultra Boots: 5 (untimed), 8 (timed)