The music going faster as you move faster was a great touch! I also loved the scene transitions. Collecting coins to get time back worked really well in the third stage where you are waiting for platforms. In the earlier stages collecting coins was questionably worth it sometimes. Very well done tutorial, didn't even realize it was a tutorial until it was over.
I found jumping to be pretty difficult, for three reasons: the bottom of the bomb not coming with you in the jump animation, the lack of air control, and the lack of a some sort of marker for where you'll land (for example, a straight-down shadow.) I kept getting stuck bouncing on the spring after the gap in the second stage (which, admittedly, was pretty funny)