Your goal here is to collect 30 bananas as quickly as possible, then land in the bullseye.
Bullseye = 2,500 points
Time points will range from 0 (if you try get everything) to 3,500 (if you fall straight down): aim for 2,500
Bananas are 100 points each: aim for 3,000, by getting two bunches, and a few singles along the way.
Hold left to drop off the start platform and also pass through the line of oranges; then travel to the bunch in the top-left. Move naturally down the platforms to the right, then left. You probably won't have enough speed to cross the black-and-white seesaws here (which you can't control): that's fine. Let it fall, collect it up somewhere, and grab the lowest bunch in the middle by launching into the lower black-and-whites with speed. It'll roll off that onto one of the last two blue platforms: drop it on the bullseye to get the achievement.