Here is the full list of all 49 Sprint Vector achievements.
Use a Crash Missile to Eliminate an Opponent Racer
Use an Impulse Shot to Eliminate an Opponent Racer
Unlock All Racer Skins
Get a Gold Medal in "The Gauntlet" Across All Modes
Get a Gold Medal in All Challenge Levels for Hardcore Mode
Get a Gold Medal in All Challenge Levels Across all Modes
Get a Gold Medal in All Challenge Levels for Collection Mode
Get a Gold Medal in All Challenge Levels for Time Trial Mode
Get a Gold Medal in "Blastoff" Across All Modes
Get a Gold Medal in "Sidewinder" Across All Modes
Get a Gold Medal in "Precipice" Across All Modes
Get a Gold Medal in "Killer Boost" Across All Modes
Get a Gold Medal in "Trip Hop" Across All Modes
Get a Gold Medal in "Driftway" Across All Modes
Get a Gold Medal in "Termination" Across All Modes
Get a Gold Medal in "The Premiere" Across All Modes
Use the "Chronoshift" Power-Up
Blow Up an Opponent Racer's Mine
Destroy 50 Breakable Objects
Finish in First Place in an Online Race
Get a Gold Medal in "Industrial Havoc"
Get Any Medal in "Industrial Havoc"
Get a Gold Medal in All Race Maps
Get a Gold Medal in "Edge of Amenti"
Get Any Medal in "Edge of Amenti"
Get a Gold Medal in "Machine Death"
Get Any Medal in "Machine Death"
Get a Gold Medal in "Fimbul Tundra"
Get Any Medal in "Fimbul Tundra"
Get a Gold Medal in "Burning Necropolis"
Get Any Medal in "Burning Necropolis"
Get a Gold Medal in "Castle Valhalla"
Get Any Medal in "Castle Valhalla"
Get a Gold Medal in "Sludge Blitz"
Get Any Medal in "Sludge Blitz"
Get a Gold Medal in "Ra's Revenge"
Get Any Medal in "Ra's Revenge"
Get a Gold Medal in "Toxic Barrage"
Get Any Medal in "Toxic Barrage"
Get a Gold Medal in "Aesir Village"
Get Any Medal in "Aesir Village"
Get a Gold Medal in "Pharaoh's Scrapyard"
Get Any Medal in "Pharaoh's Scrapyard"
Get a Gold Medal in "Winter Rush"
Get Any Medal in "Winter Rush"
Get a Gold Medal in Any Race Map
Finish the Advanced Tutorials
Finish the Intermediate Tutorials
Finish the Basic Tutorials