A giant circular wall clock with diameter L rests vertically on the floor. The minute hand sticks out from the face of the clock, and its length is half the clock diameter. A light directly above the clock casts a shadow of the minute hand on the floor. The initial time on the clock is 15 minutes after noon. Let the positive-x axis point from the center of the clock towards the three o'clock position, and the positive-y axis point from the center of the clock towards the twelve o'clock position. Construct the algebraic expression for the position x (t) of the tip of the shadow as a function of time in seconds. Assume that the minute hand extends a negligible distance to the left of the clock center. Enter your expression in terms of given quantities and rational and exact irrational numbers. x(t) = Light from above 12 11 1 10 2 9 8 4 7 5 6