'The figure below shows an overhead view of room of square floor area and side L At the center of the room is mirror set in vertical plane and rotating on vertical shaft at angular speed @ about an axis coming out of the page bright red laser beam enters from the center point on one wall of the room and strikes the mirror As the mirror rotates_ the reflected laser beam creates red spot sweeping across the walls of the room_
(a) When the spot of light on the wall is at distance from point 0, what is its speed? (Use the following as necessary: (_ and L.)
(b) What value of x corresponds to the minimum value for the speed?
(c) What is the minimum value for the speed? (Use the following as necessary: @, X,and L.)
(d) What is the maximum speed of the spot on the wall? (Use the following as necessary: (_ X, and L.)
(e) In what time interval does the spot change from its minimum to its maximum speed? (Use the following as necessary: X, and L.)'