Press the key responsible for summoning the Batmobile and start chasing the enemy vehicle. During this part of the mission, you need to watch out for enemy attacks. The game will signal an incoming bullet with a grey beam. Try to avoid it (when you get in the way of an incoming attack, the beam will turn red), because you may not be able to get out of the way on time and the Batmobile armor will be damaged. Also, try to stay rather close to the enemy machine, as it will gradually make it weaker.
Continue the pursuit until the enemy vehicle is destroyed. Park near the wreck, exit the Batmobile and interrogate the driver. Listen to a conversation with Oracle.