bungee jumper's height h (in feet) at time t (in seconds) are shown in the table below. t h(t) t h(t) 0 200 0.5 1.0 1.5 2.0 2.5 3.0 184 159 131 104 81 65 Some measurements of a 5.0 5.5 69 81 3.5 4.0 4.5 56 55 60 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 93 104 112 117 119 118 114 110 (a) Estimate h'(4.5), h'(5), and h'(5.5) using central difference approximations. Use the shortest time-intervals that the data in the table allows. Include units in your answers. At which of these times is the bungee jumper rising most rapidly? (b) Using your answer to the previous part, estimate h" (5) using a central difference approximation. Include units in your answer. (c) Based on your answers to the previous parts, is h concave up or concave down around t = 5 seconds? (d) What physical property of the bungee jumper does h"(5) measure?