In the right-angled trapezoidal ABCD, ABCD, ∠ DAB = 90, AD = 2DC = 4°, AB = 6°, and the moving point M moves from point A to point B at the speed of 1 unit per second. At the same time, point P moves from point C to point A along the dotted line C-D-A at the same speed. When point M reaches point B, both points stop moving at the same time. The intersection point m is a straight line l∑AD, the intersection point with a straight line CD is E, the intersection point with a broken line A-C-B is Q, and the moving time of point M is t (seconds).

(1) When t=0.5, find the length QM of the straight line;

(2) When 0 < t < 2, if the triangle with C, P and Q as vertices is a right triangle, find the value of t;