(Solved): A race driver has made a pit stop to refuel. After refueling, he starts from rest and leaves the pit ...

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 \( 6.7 \mathrm{~m} / \mathrm{s}^{2} \); 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 \( 65.1 \mathrm{~m} / \mathrm{s} \) overtakes and passes the entering car. The entering car maintains its acceleration. How much time is required for the entering car to catch up with the other car? \[ t=\mathbf{i} \]