A Mouse Hanging on to the End of the Windmill

Short Answer

A mouse hanging on to the end of the windmill blade shown below has coordinates given by , where the origin is at the center of the blades, x and y are in meters, and t is in seconds. The blades are 7 meters long and the windmill makes one complete revolution every 20 seconds in a counterclockwise direction. The mouse starts in the 3 o'clock position and, 2.5 seconds later, loses its hold and flies off. What is k? Round to 2 decimal places.