Elementary physics states that when an object is subjected to a constantacceleration a

Chapter 10, Problem 10.12

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Elementary physics states that when an object is subjected to a constantacceleration a, the relationship between distance d and time t is givenby d = 12 a t2. Suppose that, during a seek, the disk in Exercise 10.11accelerates 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 theseek. Assume that the disk can perform a seek to an adjacent cylinderin 1 millisecond and a full-stroke seek over all 5,000 cylinders in 18milliseconds.a. The distance of a seek is the number of cylinders over which thehead moves. Explain why the seek time is proportional to thesquare root of the seek distance.b. Write an equation for the seek time as a function of the seekdistance. This equation should be of the form t = x + yL, wheret is the time in milliseconds and L is the seek distance in cylinders.c. Calculate the total seek time for each of the schedules in Exercise10.11. Determine which schedule is the fastest (has the smallesttotal seek time).d. The percentage speedup is the time saved divided by the originaltime. What is the percentage speedup of the fastest schedule overFCFS?