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 3 meters long and the windmill makes one complete revolution every 24 seconds in a counterclockwise direction. The mouse starts in the 3 o'clock position and, 9 seconds later, loses its hold and flies off. How many meters/sec. is the mouse traveling while it is on the blade? Round to 2 decimal places.