A police officer on a motorcycle is driving on a level road at a speed of 
. At some point, he is overtaken by a car at a speed of 
. The policeman runs after him with an acceleration of 
the moment the fast car overtakes him.
How long does it take the police officer to catch up with the car?
What is the speed of the police officer as at when he catches up with the car?
How far does the police officer go to catch up with the car?
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