In Dead Rising 2 for the PS3, Xbox 360, and PC, there are a total of six explosive weapons scattered throughout the game you can collect. Use all six on a zombie to get the “Explosive Temper” achievement/trophy.
I’m uncertain if you need to just damage a zombie or kill them with each explosive, so it’s probably better to be safe than sorry and just kill them with it to be sure.
Acetylene Tank
Dynamite
Gasoline Canister
Grenade
Propane Tank
Rocket Fireworks