The New Battle - Batman Platformer Adventure

Not sure whether it was done on purpose, but it appears that you can't go against The Penguin with your bear hands. In order to kill him you will have to spare a batarang. Luckily there's a lot of batarangs spread all over the place, so you just need to pick it up from the ground and use it on your next enemy. I've even tried to sneak up on the enemy and kick him from behind, but that didn't work neither. Anyway, you can always jump over and skip the fight. It's the coins you are actually after in this game, so make sure you pick them all up before you reach the car, otherwise you'll have to go all the way back and search for the missing coin. The rule of thumb in beating this game is to avoid direct fist fight with the enemies, and use batarangs instead.
Here's me playing the third level, just to show you how the game works.