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 5 meters long and the windmill makes one complete revolution every 28 seconds in a counterclockwise direction. The mouse starts in the 3 o'clock position and, 10.5 seconds later, loses its hold and flies off. Assume that when the mouse leaves the blade it moves along a straight line tangent to the circle on which it was previously moving. The equation of that line is y = _____ + _____x. Round to 2 decimal places if necessary.