Answer
a) 74.65 ft/sec
b)45.28 ft/sec
c)149.59
Work Step by Step
(a) Because the acceleration is decreasing, an upper estimate is obtained using left endpoints in summing acceleration t.
Thus, t 1 and speed [32.00 19.41 11.77 7.14 4.33](1) $\approx$ 74.65 ft/sec
(b) Using right endpoints we obtain a lower estimate:
speed [19.41 11.77 7.14 4.33 2.63](1) $\approx$ 45.28 ft/sec
(c) the distance fallen when t $\approx$ 3 seconds is s
[32.00 51.41 63.18](1) $\approx$146.59 ft.
