A gazelle is grazing under a tree. At time t = 0 seconds, a cheetah, 100 m to the left of the tree, sees the gazelle and begins a chase. The following is a graph of the velocity of the cheetah's pursuit: 60- 40- 20- 10 12 -20- -40- -60- The cheetah's velocity fits the equation: v(t) = 0.1(t + 1)(t – 8)(t - 20) = 0.1(t3 – 27t2 + 132t + 160) %3D %3D where t is the time in seconds in the range 0

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