Problem: 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 6.2 m/s2; after 3.6 s he enters the main speedway. At the same instant, another car on the speedway and traveling at a constant velocity of 73.7 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?
It'd be really helpful if you could show all steps of your work for above problem. Thanks.