For me, it worked that I first did the stay alive for 30 seconds and tried to do some of the other achievements at the same time, such as countdown. If it seems to dangerous, you can do the click, write and color achievements while waiting the time to pass by.
I played till day four and then checked the achievements and thought where is my balloon? After that, I found it on the ground and was like oh, so I was supposed to take this into the air.