The figure below shows a collar (a block with a hole cut into it) which is free to slide along the vertical pole with negligible friction. Let y(t) denote the height of the collar as a function of time. After the collar is dropped, it lands on the spring. The spring compresses and then recoils, pushing the collar upward again. Suppose that at time t 0, the collar is released from rest at point A. Let time t = tBI be the time at which the collar first comes into contact with the spring. Let time t = to denote the time at which the spring is at its maximum compression. Time t tB2 is the time at which the collar loses contact with the spring as it heads upward. 1 2. On the axes provided below, sketch plots of y, y, and j as functions of time. y (t) A B M C ww y tB1 tc Answer the following questions on this sheet of paper. 3. After the collar is released, at what time is the speed of the collar smallest? 4. Between t 0 and t = tc, at what time is the speed of the collar greatest? 5. At what time is the magnitude of acceleration greatest? t tB2