This mission is given to you by Keith David and his first task is to eliminate a target. Go to the location marked on your map and once the target appears, unleash all you have on it to kill it. The target is likely to be very fast because of Super Sprint, so it might be a little difficult to get a good shot on it.
The next task is a Flashpoint, and this one is on top of a roof, so there's not much room for maneuvering. One good tactic is to use Super Stomp to clear the roof of the enemies, who will fall to the ground. Although this won't kill them, it will give you more room to move around, as well as a fantastic vantage point.
After finishing up the Flashpoint, go to the next location and you'll be tasked with the Insurance Fraud-like activity from the third game. If you've never played it before, then you need to throw yourself in front of vehicles to cause as much harm to yourself. You need at least 360,000 to pass and 1,020,000 to get Gold.
A viable tactic for this one, which might appear difficult, is to find a highway nearby where there will be a lot of cars driving. Once you get hit, try and position yourself in front of another vehicle and keep chaining them together to score big. Don't forget to use your Adrenaline Meter to help chain together the hits.
Once you clear the Fraud activity, the next one is a Hotspot. Go to the location and to either one of the two generators. Clear out the Zin, disable the generator and do the same for the second. This will shut down the force field surrounding the main controller. There will be a lot more Zin defending this one, but it shouldn't be too tough.
Keith now has you going after a vehicle. When you get to the location, you'll find out it's one of the Zin ships. You could kill all of the Zin guarding it before stealing it, although you don't need to. If you've never flown one before, there is a flying mode and a hover mode, so use whichever feels more comfortable, although it will take a while to get to the extraction point in hover mode. When you do, switch to hover mode so you can land.
The next task is actually the Mayhem activity, although you get to control one of the Zin ships (UFO) that you just managed to steal. Despite the map showing targets, you can shoot and destroy everything you can hit, which will add to your total. Note that to pass, you need at least 250,000 Cache worth of damage, which will get you the Bronze, and 800,000 for Gold.
Now that everything is finally over (that was certainly long), go and talk to Keith back on the ship. Your reward for completing this mission is Unlimited Sprinting.