(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 FIGURE 219 Multiash photograph of a falling apple. at equal time intervals. The apple falls farther during each successive interval. which means it is accelerating