4. Elementary physics states that when an object is subjected to a constant acceleration a, the relationship between distanced and time t is given by d- (0.5)at. Suppose that, during a seek, the disk accelerates the disk arm at a constant rate for the first half of the seek, then decelerates the disk arm at the same rate for the second half of the seek. Assume that the disk can perform a seek to an adjacent cylinder in 1 millisecond and a full-stroke seek over all 5,00 cylinders in 18 milliseconds a. The distance of a seek is the number of cylinders over which the head moves. Explain why the seek time is proportional to the square root of the seek distance Write an equation for the seek time as a function of the seek distance. This equation should be of the form t-x+ yvL, where is the time in milliseconds and 'L' is the seek distance in cylinders Calculate the total seek time for each of the schedules (FCFS, SSTF, SCAN, LOOK, C-SCAN, C-LOOK). Determine which schedule is the fastest (has the smallest total seek time) The percentage speedup is the time saved divided by the original time. What is the percentage speedup of the fastest schedule over FCFS? The queue of pending requests, in FIFO order is b. c. d. 2069 1212 2296 2800 544 1618 356 1523 4965 3681 The head is at cylinder 2150 and the previous request was at 1805