From The TimeSplitters Wiki

Demolition Derby
Game	TS2
League	Amateur League
Section	It's a Blast
Mode	Deathmatch
Map	Scrapyard
Character	R-109
Enemies Encountered	ChassisBot x2 SentryBot x2
Rewards	Bronze: Robot Factory Silver: Vampire, Male Trooper Gold: Female Trooper
Medal Requirements	1st Silver: 1st and 15 Kills Gold: 1st and 25 Kills

Demolition Derby, like the two previous matches in the It's a Blast Series, features only Rocket Launchers.

Briefing

There's nothing like high explosives for reducing ChassisBots to chassis bits. The game lasts 4 minutes... Make sure you score top!

Strategy

This is an all out bomb fest! Since everyone starts out with a Rocket Launcher, it's safe to fire off a lot of rockets without worrying too much about running out of ammo. The centre of the Scrapyard has the most traffic, so camp out there and fire away.