Tear Up Meaning

(transitive) To wrench out of the ground.

Example:   The student tore up his test after he found out his mark of 20%.
  The lacrosse practice really tore up the field.
  In his first year, his hitting tore up the league's opposing pitchers.
2012 May 15, Scott Tobias, “Film: Reviews: The Dictator”[1], The Onion AV Club:
  Taking advantage of her haughty obliviousness—Faris is every bit Margaret Dumont to Baron Cohen’s Groucho—Aladeen conspires to seize power back and tear up the new constitution before it’s too late.
  We tore up the weeds from the allotment.