thank you all for the ratings and comments!
and for people having trouble with the second level:
once you kill an enemy you will be able to teleport again.
this means that you can teleport to an enemy, kill it, then teleport again.
keep in mind that you can also double jump again after killing an enemy.
with a mixture of teleporting and jumping, you should be able to make all of the long jumps in all of the levels.