To add to AioriaRox's comment, it is very important that you have done the story mode first and gotten plenty of Bonus Points, because the hard badge will be impossible to get without MAXING OUT the top right 4 items in the bonus shop (feather, turbo, gas tank, anti-gravity), AS WELL AS the level 2 information meter. The level 2 information reader is what will tell you what your resistance is at. Lastly, For the $25,000 arcade, the angle for the cruise missile you need to maintain ~220 speed is resistance 52. Please + this comment so people can see it!