Play Time Attack mode and select Planet 1: Logi. You have to complete the level with the timer below 5:00. Here are some tips:
- Use your Rock Crusher (green) weapon exclusively.
- Upgrade your Rock Crusher weapon as early as possible.
- Do not die. Dying increases your timer by a whopping 3 minutes, which effectively voids this trophy.
- Don't go too far out of your way for the light blue "Time" tokens. They only take 0.19 seconds off of your timer, which is likely less than the amount of time it takes you to get to them.
See the following video guide: