Question: A race driver has made a pit stop to refuel. After refueling, he starts from rest and leaves the pit area with an acceleration whose magnitude is 5.3 m/s²; after 4.2 s he enters the main speedway. At the same instant, another car on the speedway and traveling at a constant velocity of 67.2 m/s overtakes and passes the entering car. The entering car maintains its acceleration.

Part A: How much time is required for the entering car to catch up with the other car?

Please show your results in detailed calculations.