Okay, this one I've looked at and I don't think I'll figure it out before someone posts.
Large cockroaches can attain a speed of 2.20 m/s in short bursts. Suppose you turn on the light in a cheap motel and see one scurrying directly away from you at a constant speed 2.20 m/s as you move toward it at a speed of 0.800 m/s.
If you start a distance 0.980 m behind it, what minimum constant acceleration would you need to catch up with it when it has traveled a distance 2.10 m, just short of safety under a counter?
I think since I'm not given a time, I'll have to use the equation that doesn't use it (obvious... er, right?).