Bright light paced our car then sped off at extreme speed

My UFO story starts in the deep dark south of Mississippi.  Traveling home from college for Christmas in 1958, I and 4 other college friends were deep in the boondocks of Mississippi in the wee hours of the night.  I was dozing in the rear passenger seat when one of the boys in the front seat spoke up saying, ‘Hey, I think that thing is following us’.  I woke up to see a bright light out the right side above the tree line pacing our car some distance away.  This was in the days before common helicopter usage.  We were all watching it, and it was making no sound or vibration as it got larger and closer to the car.  There were no houses, no lights, no traffic or other possible causes which caused us some concern.  We sped up and the light sped up.  We slowed way down and it slowed down with us.  We stopped and it stopped.  The driver then decided to turn the lights off and try to outrun it flying down the straight highway at 90 mph in the dark!  The light stayed right with us.  We reached some trees and he turned the headlights back on, slowed down to highway speed and suddenly the light sped off to the right and was gone.  Needless to say, we were all wide awake for the rest of the night.
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Witness indicates that the date of the sighting is approximate.  PD)