Here's the easiest way to gain speed: Go sideways, and jump as low as possible to get as many "nice entry" bonuses as possible to gain speed. Do this for 1 min 50 secs, and with the last 10 jump as straight up as you possibly can. This works for the Hard and Impossible badges. Keep this comment alive if it works!
for butterfingers, 1000 mistakes. doesn't matter if you've got 1 or more right. for minimalist, do nothing in 1 song. I must say I'm doing it pretty good, 7 perfect, all other gold.