According to the student pilot, he was performing his second solo flight, and he reported a total flying time of 45 hours. As the airplane became airborne during the initial takeoff, it "…violently veered 90 degrees to the left." He immediately applied right rudder and reduced the throttle to idle. The airplane was landed on the left side of the runway and it departed the runway surface, into the grass. It then crossed the intersecting runway. As the airplane approached a taxiway, the pilot brought it to a full stop. A Federal Aviation Administration inspector reported that the excursion resulted in a buckling of the engine firewall. The student pilot did not report any mechanical problems with the airplane at the time of the accident. A review of local wind conditions at the airport did not reveal evidence of gusts.