What could be better than blowing up enemies? NOTHING.
Anyways this trophy is actually fairly easy to complete. This is a cumulative trophy and the best part is there are two different ways you can go about racking up those kills!
You can use Kinesis and launch explosive canisters at enemies (which I did A LOT of). Or you can craft yourself a weapon that deals some explosive damage.
If you are patient enough you should wait until after Chapter 9. You will acquire a blueprint that allows for a grenade launcher on the pulse rifle. The schematic is on a desk on the upper floor of a shed after the mini-boss battle.
Make your way to a bench and as long as you have:
850 Scrap Metal
You will be able to get that grenade launcher and can start blowing up more shit!