This question mainly examines the comprehensive knowledge of quadrilateral. The key to solve the problem is to find the relevant line segments according to the similarity ratio of triangles. Knowledge points are not complicated, the key is to be patient and careful. See the answer/exercise/math /798882. Don't forget to take my answer, or I will be very sad.

As shown in the figure, in the rhombic ABCD, diagonal lines AC and BD intersect at point O, with AC= 12cm and BD= 16cm. Point P starts from point B and moves in the direction of BA at a uniform speed of1cm/s; At the same time, the straight line EF starts from point D and moves in the direction of DB at a constant speed of 1 cm/s, perpendicular to BD, and intersects with AD, BD and CD at points E, Q and F respectively. When the straight line EF stops moving, the point P also stops moving. Connect PF and let the movement time be t (s) (0