2007 Dodge Caliber Shaking during acceleration

This morning I was getting out of my driveway and got stuck in the snow. It didn't take too long or too much acceleration to get out of it but once I got on the highway I noticed the steering wheel start to vibrate as I hit 40/mph. After 5-10 mins at that speed it stopped but started again when I got up to 50/mph and once again stopped after 5-10 mins but than did the same thing at 60/mph. I got up to 70/mph for only a little while but the same thing occured.