Question

A truck is traveling at a constant speed of 20 m/s through a school zone. At time t = 0 seconds, he passes a hidden police car that is at rest. Five seconds after the truck passes, the police car begins accelerating at a constant rate of 2 m/s2 in order to catch the truck.
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Answer 1

I expect he'll catch up.
truck: s = 20t
cop: s = 2/2 (t-5)^2

Now you can find how long or how far it takes the cop to catch up.