(II) For an object falling freely from rest, show that the distance traveled during each successive second increases in the ratio of successive odd integers (1, 3, 5, etc.). (This was first shown by Galileo.) See Figs. 2-19 and 2-22.

FIGURE 2-22 Example 2-10. (3) An object dropped from a tower falls with progressively greater speed and covers greater distance with each successive second. (See also Fig. 219.) (b) Graph of y vs. I. d Acceleration _ _ due to ' ' 1__I____y=0 y1=4.90m (Afterl.003] y2 = 19.6 m (After 2.00 5) 3:3: 44.1 m (After 3.00 s) 0 GO (b)0123