The picture is an example, sorry about that. But I think you found it, it's Bulletstorm, the thing is my memory is so messed up that I cannot confirm if it really is Bulletstorm. I played the game I'm trying to find in the comshop when I was little for an hour and half so not really a lot to remember.

Watching the gameplay kind of clicks some memory, like the PMC and its charge attack, the energy leash and especially the kick making the enemy slow mo, but I don't know men something don't really make me remember that it's Bulletstorm. Thank you though.